S.-Y. Lee, S.-W. Ji, H.-J. Kim, and H. Nha, “Enhancing quantum entanglement for continuous variables by a coherent superposition of photon subtraction and addition,” Phys. Rev. A 84, 012302 (2011).

[CrossRef]

T. Kiesel, W. Vogel, M. Bellini, and A. Zavatta, “Nonclassicality quasiprobability of single-photon-added thermal states,” Phys. Rev. A 83, 032116 (2011).

[CrossRef]

S. Sivakumar, “Photon-added coherent states in parametric down-conversion,” Phys. Rev. A 83, 035802 (2011).

[CrossRef]

Ya. A. Korennoy and V. I. Man’ko, “Optical tomography of photon-added coherent states, even and odd coherent states, and thermal states,” Phys. Rev. A 83, 053817 (2011).

[CrossRef]

M. Barbieri, N. Spagnolo, M. G. Genoni, F. Ferreyrol, R. Blandino, M. G. A. Paris, P. Grangier, and R. Tualle-Brouri, “Non-Gaussianity of quantum states: an experimental test on single-photon added coherent states,” Phys. Rev. A 82, 063833 (2010).

[CrossRef]

H. Takahashi, J. S. Neergaard-Nielsenl, M. Takeuchil, M. Takeokal, K. Hayasakal, A. Furusawa, and M. Sasakil, “Entanglement distillation from Gaussian input states,” Nat. Photon. 4, 178–181 (2010).

[CrossRef]

S.-Y. Lee and H. Nha, “Quantum state engineering by a coherent superposition of photon subtraction and addition,” Phys. Rev. A 82, 053812 (2010).

[CrossRef]

M. G. Genoni and M. G. A. Paris, “Quantifying non-Gaussianity for quantum information,” Phys. Rev. A 82, 052341 (2010).

[CrossRef]

J. Niset, J. Fiurášek, and N. J. Cerf, “No-Go theorem for Gaussian quantum error correction,” Phys. Rev. Lett. 102, 120501 (2009).

[CrossRef]

S.-Y. Lee, J. Y. Park, S.-W. Ji, C. H. R. Ooi, and H.-W. Lee, “Nonclassicality generated by photon annihilation-then-creation and creation-then-annihilation operations,” J. Opt. Soc. Am. B 26, 1532–1537 (2009).

[CrossRef]

Y. Yang and F.-L. Li, “Entanglement properties of non-Gaussian resources generated via photon subtraction and addition and continuous-variable quantum-teleportation improvement,” Phys. Rev. A 80, 022315 (2009).

[CrossRef]

X. G. Wang, C.-S. Yu, and X. X. Yi, “An alternative quantum fidelity for mixed states of qudits,” Phys. Lett. A 373, 58–60 (2008).

[CrossRef]

X. G. Meng, J. S. Wang, and B. L. Liang, “Two-mode excited squeezed vacuum state and its properties,” Commun. Theor. Phys. 49, 1299–1304 (2008).

[CrossRef]

H. Y. Fan and L. Y. Hu, “New approach for analyzing time evolution of density operator in a dissipative channel by the entangled state representation,” Opt. Commun. 281, 5571–5573 (2008).

[CrossRef]

M. G. Genoni, M. G. A. Paris, and K. Banaszek, “Quantifying the non-Gaussian character of a quantum state by quantum relative entropy,” Phys. Rev. A 78, 060303 (2008).

[CrossRef]

A. P. Lund, T. C. Ralph, and H. L. Haselgrove, “Fault-tolerant linear optical quantum computing with small-amplitude coherent states,” Phys. Rev. Lett. 100, 030503 (2008).

[CrossRef]

P. van Loock, W. J. Munro, K. Nemoto, T. P. Spiller, T. D. Ladd, S. L. Braunstein, and G. J. Milburn, “Hybrid quantum computation in quantum optics,” Phys. Rev. A 78, 022303 (2008).

[CrossRef]

M. S. Kim, “Recent developments in photon-level operations on travelling light fields,” J. Phys. B At. Mol. Opt. Phys. 41, 133001 (2008).

[CrossRef]

V. Parigi, A. Zavatta, and M. Bellini, “Manipulating thermal light states by the controlled addition and subtraction of single photons,” Laser Phys. Lett. 5, 246–251 (2008).

[CrossRef]

A. Zavatta, V. Parigi, and M. Bellini, “Experimental nonclassicality of single-photon-added thermal light states,” Phys. Rev. A 75, 052106 (2007).

[CrossRef]

A. Biswas and G. S. Agarwal, “Nonclassicality and decoherence of photon-subtracted squeezed states,” Phys. Rev. A 75, 032104 (2007).

[CrossRef]

K. Wakui, H. Takahashi, A. Furusawa, and M. Sasaki, “Photon subtracted squeezed states generated with periodically poled KTiOPO4,” Opt. Express 15, 3568–3574 (2007).

[CrossRef]

M. G. Genoni, M. G. A. Paris, and K. Banaszek, “Measure of the non-Gaussian character of a quantum state,” Phys. Rev. A 76, 042327 (2007).

[CrossRef]

H.-R. Li, F.-L. Li, and S.-Y. Zhu, “Inseparability of photon-added Gaussian states,” Phys. Rev. A 75, 062318 (2007).

[CrossRef]

H. Y. Fan, H. L. Lu, and Y. Fan, “Newton-Leibniz integration for ket-bra operators in quantum mechanics and derivation of entangled state representations,” Ann. Phys. 321, 480–494 (2006).

[CrossRef]

A. Ourjoumtsev, R. Tualle-Brouri, J. Laurat, and Ph. Grangier, “Generating optical Schrödinger kittens for quantum information processing,” Science 312, 83–86 (2006).

[CrossRef]

J. S. Neergaard-Nielsen, B. M. Nielsen, C. Hettich, K. Mølmer, and E. S. Polzik, “Generation of a superposition of odd photon number states for quantum information networks,” Phys. Rev. Lett. 97, 083604 (2006).

[CrossRef]

A. Kitagawa, M. Takeoka, M. Sasaki, and A. Chefles, “Entanglement evaluation of non-Gaussian states generated by photon subtraction from squeezed states,” Phys. Rev. A 73, 042310 (2006).

[CrossRef]

A. Zavatta, S. Viciani, and M. Bellini, “Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission,” Phys. Rev. A 72, 023820 (2005).

[CrossRef]

M. S. Kim, E. Park, P. L. Knight, and H. Jeong, “Nonclassicality of a photon-subtracted Gaussian field,” Phys. Rev. A 71, 043805 (2005).

[CrossRef]

N. J. Cerf, O. Krüger, P. Navez, R. F. Werner, and M. M. Wolf, “Non-Gaussian cloning of quantum coherent states is optimal,” Phys. Rev. Lett. 95, 070501 (2005).

[CrossRef]

V. V. Dodonov and L. A. de Souza, “Decoherence of superpositions of displaced number states,” J. Opt. B Quant. Semiclass. Opt. 7, S490–S499 (2005).

[CrossRef]

J. Wenger, R. Tualle-Brouri, and P. Grangier, “Non-Gaussian statistics from individual pulses of squeezed light,” Phys. Rev. Lett. 92, 153601 (2004).

[CrossRef]

A. Zavatta, S. Viciani, and M. Bellini, “Quantum-to-classical transition with single-photon-added coherent states of light,” Science 306, 660–662 (2004).

[CrossRef]

J. Wenger, R. Tualle-Brouri, and P. Grangier, “Non-Gaussian statistics from individual pulses of squeezed light,” Phys. Rev. Lett. 92, 153601 (2004).

[CrossRef]

H. Nha and H. J. Carmichael, “Proposed test of quantum nonlocality for continuous variables,” Phys. Rev. Lett. 93, 020401 (2004).

[CrossRef]

T. C. Ralph, A. Gilchrist, G. J. Milburn, W. J. Munro, and S. Glancy, “Quantum computation with optical coherent states,” Phys. Rev. A 68, 042319 (2003).

[CrossRef]

P. Marian, T. A. Marian, and H. Scutaru, “Bures distance as a measure of entanglement for two-mode squeezed thermal states,” Phys. Rev. A 68, 062309 (2003).

[CrossRef]

V. V. Dodonov, “‘Nonclassical’ states in quantum optics: a ‘squeezed’ review of the first 75 years,” J. Opt. B Quant. Semiclass. Opt. 4, R1–R33 (2002).

[CrossRef]

J. Eisert, S. Scheel, and M. B. Plenio, “Distilling Gaussian states with Gaussian operations is impossible,” Phys. Rev. Lett. 89, 137903 (2002).

[CrossRef]

G. Giedke and J. I. Cirac, “Characterization of Gaussian operations and distillation of Gaussian states,” Phys. Rev. A 66, 032316 (2002).

[CrossRef]

X.-B. Wang, L. C. Kwek, Y. Liu, and C. H. Oh, “Non-classical effects of two-mode photon-added displaced squeezed states,” J. Phys. B At. Mol. Opt. Phys. 34, 1059–1078 (2001).

[CrossRef]

S. Sivakumar, “Studies on nonlinear coherent states,” J. Opt. B Quant. Semiclass. Opt. 2, R61–R75 (2000).

[CrossRef]

V. V. Dodonov, M. A. Marchiolli, Y. A. Korennoy, V. I. Man’ko, and Y. A. Moukhin, “Dynamical squeezing of photon-added coherent states,” Phys. Rev. A 58, 4087–4094 (1998).

[CrossRef]

S. L. Braunstein and H. J. Kimble, “Teleportation of continuous quantum variables,” Phys. Rev. Lett. 80, 869–872 (1998).

[CrossRef]

M. Dakna, T. Anhut, T. Opatrný, L. Knöll, and D.-G. Welsch, “Generating Schrödinger-cat-like states by means of conditional measurements on a beam splitter,” Phys. Rev. A 55, 3184–3194 (1997).

[CrossRef]

M. Ban, “Photon statistics of conditional output states of lossless beam splitter,” J. Mod. Opt. 43, 1281–1303 (1996).

[CrossRef]

C. T. Lee, “Theorem on nonclassical states,” Phys. Rev. A 52, 3374–3376 (1995).

[CrossRef]

G. S. Agarwal and K. Tara, “Nonclassical character of states exhibiting no squeezing or sub-Poissonian statistics,” Phys. Rev. A 46, 485–488 (1992).

[CrossRef]

G. S. Agarwal and K. Tara, “Nonclassical properties of states generated by the excitations on a coherent state,” Phys. Rev. A 43, 492–497 (1991).

[CrossRef]

C. T. Lee, “Many-photon antibunching in generalized pair coherent states,” Phys. Rev. A 41, 1569–1575 (1990).

[CrossRef]

W. Schleich, D. F. Walls, and J. A. Wheeler, “Area of overlap and interference in phase space versus Wigner pseudoprobabilities,” Phys. Rev. A 38, 1177–1186 (1988).

[CrossRef]

L. Mandel, “Squeezed states and sub-Poissonian photon statistics,” Phys. Rev. Lett. 49, 136–138 (1982).

[CrossRef]

Y. Takahashi and H. Umezawa, “Collective phenomena,” Int. J. Mod. Phys. 2, 55–80 (1975).

R. J. Glauber, “The quantum theory of optical coherence,” Phys. Rev. 130, 2529–2539 (1963).

[CrossRef]

H. Weyl, “Quantenmechanik und Gruppentheorie,” Z. Phys. 46, 1–46 (1927).

[CrossRef]

A. Biswas and G. S. Agarwal, “Nonclassicality and decoherence of photon-subtracted squeezed states,” Phys. Rev. A 75, 032104 (2007).

[CrossRef]

G. S. Agarwal and K. Tara, “Nonclassical character of states exhibiting no squeezing or sub-Poissonian statistics,” Phys. Rev. A 46, 485–488 (1992).

[CrossRef]

G. S. Agarwal and K. Tara, “Nonclassical properties of states generated by the excitations on a coherent state,” Phys. Rev. A 43, 492–497 (1991).

[CrossRef]

M. Dakna, T. Anhut, T. Opatrný, L. Knöll, and D.-G. Welsch, “Generating Schrödinger-cat-like states by means of conditional measurements on a beam splitter,” Phys. Rev. A 55, 3184–3194 (1997).

[CrossRef]

M. Ban, “Photon statistics of conditional output states of lossless beam splitter,” J. Mod. Opt. 43, 1281–1303 (1996).

[CrossRef]

M. G. Genoni, M. G. A. Paris, and K. Banaszek, “Quantifying the non-Gaussian character of a quantum state by quantum relative entropy,” Phys. Rev. A 78, 060303 (2008).

[CrossRef]

M. G. Genoni, M. G. A. Paris, and K. Banaszek, “Measure of the non-Gaussian character of a quantum state,” Phys. Rev. A 76, 042327 (2007).

[CrossRef]

M. Barbieri, N. Spagnolo, M. G. Genoni, F. Ferreyrol, R. Blandino, M. G. A. Paris, P. Grangier, and R. Tualle-Brouri, “Non-Gaussianity of quantum states: an experimental test on single-photon added coherent states,” Phys. Rev. A 82, 063833 (2010).

[CrossRef]

T. Kiesel, W. Vogel, M. Bellini, and A. Zavatta, “Nonclassicality quasiprobability of single-photon-added thermal states,” Phys. Rev. A 83, 032116 (2011).

[CrossRef]

V. Parigi, A. Zavatta, and M. Bellini, “Manipulating thermal light states by the controlled addition and subtraction of single photons,” Laser Phys. Lett. 5, 246–251 (2008).

[CrossRef]

A. Zavatta, V. Parigi, and M. Bellini, “Experimental nonclassicality of single-photon-added thermal light states,” Phys. Rev. A 75, 052106 (2007).

[CrossRef]

A. Zavatta, S. Viciani, and M. Bellini, “Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission,” Phys. Rev. A 72, 023820 (2005).

[CrossRef]

A. Zavatta, S. Viciani, and M. Bellini, “Quantum-to-classical transition with single-photon-added coherent states of light,” Science 306, 660–662 (2004).

[CrossRef]

A. Biswas and G. S. Agarwal, “Nonclassicality and decoherence of photon-subtracted squeezed states,” Phys. Rev. A 75, 032104 (2007).

[CrossRef]

M. Barbieri, N. Spagnolo, M. G. Genoni, F. Ferreyrol, R. Blandino, M. G. A. Paris, P. Grangier, and R. Tualle-Brouri, “Non-Gaussianity of quantum states: an experimental test on single-photon added coherent states,” Phys. Rev. A 82, 063833 (2010).

[CrossRef]

P. van Loock, W. J. Munro, K. Nemoto, T. P. Spiller, T. D. Ladd, S. L. Braunstein, and G. J. Milburn, “Hybrid quantum computation in quantum optics,” Phys. Rev. A 78, 022303 (2008).

[CrossRef]

S. L. Braunstein and H. J. Kimble, “Teleportation of continuous quantum variables,” Phys. Rev. Lett. 80, 869–872 (1998).

[CrossRef]

H. Nha and H. J. Carmichael, “Proposed test of quantum nonlocality for continuous variables,” Phys. Rev. Lett. 93, 020401 (2004).

[CrossRef]

J. Niset, J. Fiurášek, and N. J. Cerf, “No-Go theorem for Gaussian quantum error correction,” Phys. Rev. Lett. 102, 120501 (2009).

[CrossRef]

N. J. Cerf, O. Krüger, P. Navez, R. F. Werner, and M. M. Wolf, “Non-Gaussian cloning of quantum coherent states is optimal,” Phys. Rev. Lett. 95, 070501 (2005).

[CrossRef]

A. Kitagawa, M. Takeoka, M. Sasaki, and A. Chefles, “Entanglement evaluation of non-Gaussian states generated by photon subtraction from squeezed states,” Phys. Rev. A 73, 042310 (2006).

[CrossRef]

G. Giedke and J. I. Cirac, “Characterization of Gaussian operations and distillation of Gaussian states,” Phys. Rev. A 66, 032316 (2002).

[CrossRef]

M. Dakna, T. Anhut, T. Opatrný, L. Knöll, and D.-G. Welsch, “Generating Schrödinger-cat-like states by means of conditional measurements on a beam splitter,” Phys. Rev. A 55, 3184–3194 (1997).

[CrossRef]

V. V. Dodonov and L. A. de Souza, “Decoherence of superpositions of displaced number states,” J. Opt. B Quant. Semiclass. Opt. 7, S490–S499 (2005).

[CrossRef]

V. V. Dodonov and L. A. de Souza, “Decoherence of superpositions of displaced number states,” J. Opt. B Quant. Semiclass. Opt. 7, S490–S499 (2005).

[CrossRef]

V. V. Dodonov, “‘Nonclassical’ states in quantum optics: a ‘squeezed’ review of the first 75 years,” J. Opt. B Quant. Semiclass. Opt. 4, R1–R33 (2002).

[CrossRef]

V. V. Dodonov, M. A. Marchiolli, Y. A. Korennoy, V. I. Man’ko, and Y. A. Moukhin, “Dynamical squeezing of photon-added coherent states,” Phys. Rev. A 58, 4087–4094 (1998).

[CrossRef]

J. Eisert, S. Scheel, and M. B. Plenio, “Distilling Gaussian states with Gaussian operations is impossible,” Phys. Rev. Lett. 89, 137903 (2002).

[CrossRef]

H. Y. Fan and L. Y. Hu, “New approach for analyzing time evolution of density operator in a dissipative channel by the entangled state representation,” Opt. Commun. 281, 5571–5573 (2008).

[CrossRef]

H. Y. Fan, H. L. Lu, and Y. Fan, “Newton-Leibniz integration for ket-bra operators in quantum mechanics and derivation of entangled state representations,” Ann. Phys. 321, 480–494 (2006).

[CrossRef]

H. Y. Fan and H. R. Zaidi, “Application of IWOP technique to the generalized Weyl correspondence,” Phys. Lett. A 124, 303–307 (1987).

[CrossRef]

H. Y. Fan, H. L. Lu, and Y. Fan, “Newton-Leibniz integration for ket-bra operators in quantum mechanics and derivation of entangled state representations,” Ann. Phys. 321, 480–494 (2006).

[CrossRef]

M. Barbieri, N. Spagnolo, M. G. Genoni, F. Ferreyrol, R. Blandino, M. G. A. Paris, P. Grangier, and R. Tualle-Brouri, “Non-Gaussianity of quantum states: an experimental test on single-photon added coherent states,” Phys. Rev. A 82, 063833 (2010).

[CrossRef]

J. Niset, J. Fiurášek, and N. J. Cerf, “No-Go theorem for Gaussian quantum error correction,” Phys. Rev. Lett. 102, 120501 (2009).

[CrossRef]

H. Takahashi, J. S. Neergaard-Nielsenl, M. Takeuchil, M. Takeokal, K. Hayasakal, A. Furusawa, and M. Sasakil, “Entanglement distillation from Gaussian input states,” Nat. Photon. 4, 178–181 (2010).

[CrossRef]

K. Wakui, H. Takahashi, A. Furusawa, and M. Sasaki, “Photon subtracted squeezed states generated with periodically poled KTiOPO4,” Opt. Express 15, 3568–3574 (2007).

[CrossRef]

C. W. Gardner and P. Zoller, Quantum Noise (Springer, 2000).

M. Barbieri, N. Spagnolo, M. G. Genoni, F. Ferreyrol, R. Blandino, M. G. A. Paris, P. Grangier, and R. Tualle-Brouri, “Non-Gaussianity of quantum states: an experimental test on single-photon added coherent states,” Phys. Rev. A 82, 063833 (2010).

[CrossRef]

M. G. Genoni and M. G. A. Paris, “Quantifying non-Gaussianity for quantum information,” Phys. Rev. A 82, 052341 (2010).

[CrossRef]

M. G. Genoni, M. G. A. Paris, and K. Banaszek, “Quantifying the non-Gaussian character of a quantum state by quantum relative entropy,” Phys. Rev. A 78, 060303 (2008).

[CrossRef]

M. G. Genoni, M. G. A. Paris, and K. Banaszek, “Measure of the non-Gaussian character of a quantum state,” Phys. Rev. A 76, 042327 (2007).

[CrossRef]

G. Giedke and J. I. Cirac, “Characterization of Gaussian operations and distillation of Gaussian states,” Phys. Rev. A 66, 032316 (2002).

[CrossRef]

T. C. Ralph, A. Gilchrist, G. J. Milburn, W. J. Munro, and S. Glancy, “Quantum computation with optical coherent states,” Phys. Rev. A 68, 042319 (2003).

[CrossRef]

T. C. Ralph, A. Gilchrist, G. J. Milburn, W. J. Munro, and S. Glancy, “Quantum computation with optical coherent states,” Phys. Rev. A 68, 042319 (2003).

[CrossRef]

R. J. Glauber, “The quantum theory of optical coherence,” Phys. Rev. 130, 2529–2539 (1963).

[CrossRef]

M. Barbieri, N. Spagnolo, M. G. Genoni, F. Ferreyrol, R. Blandino, M. G. A. Paris, P. Grangier, and R. Tualle-Brouri, “Non-Gaussianity of quantum states: an experimental test on single-photon added coherent states,” Phys. Rev. A 82, 063833 (2010).

[CrossRef]

J. Wenger, R. Tualle-Brouri, and P. Grangier, “Non-Gaussian statistics from individual pulses of squeezed light,” Phys. Rev. Lett. 92, 153601 (2004).

[CrossRef]

J. Wenger, R. Tualle-Brouri, and P. Grangier, “Non-Gaussian statistics from individual pulses of squeezed light,” Phys. Rev. Lett. 92, 153601 (2004).

[CrossRef]

A. Ourjoumtsev, R. Tualle-Brouri, J. Laurat, and Ph. Grangier, “Generating optical Schrödinger kittens for quantum information processing,” Science 312, 83–86 (2006).

[CrossRef]

A. P. Lund, T. C. Ralph, and H. L. Haselgrove, “Fault-tolerant linear optical quantum computing with small-amplitude coherent states,” Phys. Rev. Lett. 100, 030503 (2008).

[CrossRef]

H. Takahashi, J. S. Neergaard-Nielsenl, M. Takeuchil, M. Takeokal, K. Hayasakal, A. Furusawa, and M. Sasakil, “Entanglement distillation from Gaussian input states,” Nat. Photon. 4, 178–181 (2010).

[CrossRef]

J. S. Neergaard-Nielsen, B. M. Nielsen, C. Hettich, K. Mølmer, and E. S. Polzik, “Generation of a superposition of odd photon number states for quantum information networks,” Phys. Rev. Lett. 97, 083604 (2006).

[CrossRef]

M. S. Kim, E. Park, P. L. Knight, and H. Jeong, “Nonclassicality of a photon-subtracted Gaussian field,” Phys. Rev. A 71, 043805 (2005).

[CrossRef]

S.-Y. Lee, S.-W. Ji, H.-J. Kim, and H. Nha, “Enhancing quantum entanglement for continuous variables by a coherent superposition of photon subtraction and addition,” Phys. Rev. A 84, 012302 (2011).

[CrossRef]

S.-Y. Lee, J. Y. Park, S.-W. Ji, C. H. R. Ooi, and H.-W. Lee, “Nonclassicality generated by photon annihilation-then-creation and creation-then-annihilation operations,” J. Opt. Soc. Am. B 26, 1532–1537 (2009).

[CrossRef]

T. Kiesel, W. Vogel, M. Bellini, and A. Zavatta, “Nonclassicality quasiprobability of single-photon-added thermal states,” Phys. Rev. A 83, 032116 (2011).

[CrossRef]

S.-Y. Lee, S.-W. Ji, H.-J. Kim, and H. Nha, “Enhancing quantum entanglement for continuous variables by a coherent superposition of photon subtraction and addition,” Phys. Rev. A 84, 012302 (2011).

[CrossRef]

M. S. Kim, “Recent developments in photon-level operations on travelling light fields,” J. Phys. B At. Mol. Opt. Phys. 41, 133001 (2008).

[CrossRef]

M. S. Kim, E. Park, P. L. Knight, and H. Jeong, “Nonclassicality of a photon-subtracted Gaussian field,” Phys. Rev. A 71, 043805 (2005).

[CrossRef]

S. L. Braunstein and H. J. Kimble, “Teleportation of continuous quantum variables,” Phys. Rev. Lett. 80, 869–872 (1998).

[CrossRef]

A. Kitagawa, M. Takeoka, M. Sasaki, and A. Chefles, “Entanglement evaluation of non-Gaussian states generated by photon subtraction from squeezed states,” Phys. Rev. A 73, 042310 (2006).

[CrossRef]

J. R. Klauder and B.-S. Skagerstam, Coherent States (World Scientific, 1985).

M. S. Kim, E. Park, P. L. Knight, and H. Jeong, “Nonclassicality of a photon-subtracted Gaussian field,” Phys. Rev. A 71, 043805 (2005).

[CrossRef]

M. Dakna, T. Anhut, T. Opatrný, L. Knöll, and D.-G. Welsch, “Generating Schrödinger-cat-like states by means of conditional measurements on a beam splitter,” Phys. Rev. A 55, 3184–3194 (1997).

[CrossRef]

V. V. Dodonov, M. A. Marchiolli, Y. A. Korennoy, V. I. Man’ko, and Y. A. Moukhin, “Dynamical squeezing of photon-added coherent states,” Phys. Rev. A 58, 4087–4094 (1998).

[CrossRef]

Ya. A. Korennoy and V. I. Man’ko, “Optical tomography of photon-added coherent states, even and odd coherent states, and thermal states,” Phys. Rev. A 83, 053817 (2011).

[CrossRef]

N. J. Cerf, O. Krüger, P. Navez, R. F. Werner, and M. M. Wolf, “Non-Gaussian cloning of quantum coherent states is optimal,” Phys. Rev. Lett. 95, 070501 (2005).

[CrossRef]

X.-B. Wang, L. C. Kwek, Y. Liu, and C. H. Oh, “Non-classical effects of two-mode photon-added displaced squeezed states,” J. Phys. B At. Mol. Opt. Phys. 34, 1059–1078 (2001).

[CrossRef]

P. van Loock, W. J. Munro, K. Nemoto, T. P. Spiller, T. D. Ladd, S. L. Braunstein, and G. J. Milburn, “Hybrid quantum computation in quantum optics,” Phys. Rev. A 78, 022303 (2008).

[CrossRef]

A. Ourjoumtsev, R. Tualle-Brouri, J. Laurat, and Ph. Grangier, “Generating optical Schrödinger kittens for quantum information processing,” Science 312, 83–86 (2006).

[CrossRef]

C. T. Lee, “Theorem on nonclassical states,” Phys. Rev. A 52, 3374–3376 (1995).

[CrossRef]

C. T. Lee, “Many-photon antibunching in generalized pair coherent states,” Phys. Rev. A 41, 1569–1575 (1990).

[CrossRef]

S.-Y. Lee, S.-W. Ji, H.-J. Kim, and H. Nha, “Enhancing quantum entanglement for continuous variables by a coherent superposition of photon subtraction and addition,” Phys. Rev. A 84, 012302 (2011).

[CrossRef]

S.-Y. Lee and H. Nha, “Quantum state engineering by a coherent superposition of photon subtraction and addition,” Phys. Rev. A 82, 053812 (2010).

[CrossRef]

S.-Y. Lee, J. Y. Park, S.-W. Ji, C. H. R. Ooi, and H.-W. Lee, “Nonclassicality generated by photon annihilation-then-creation and creation-then-annihilation operations,” J. Opt. Soc. Am. B 26, 1532–1537 (2009).

[CrossRef]

Y. Yang and F.-L. Li, “Entanglement properties of non-Gaussian resources generated via photon subtraction and addition and continuous-variable quantum-teleportation improvement,” Phys. Rev. A 80, 022315 (2009).

[CrossRef]

H.-R. Li, F.-L. Li, and S.-Y. Zhu, “Inseparability of photon-added Gaussian states,” Phys. Rev. A 75, 062318 (2007).

[CrossRef]

H.-R. Li, F.-L. Li, and S.-Y. Zhu, “Inseparability of photon-added Gaussian states,” Phys. Rev. A 75, 062318 (2007).

[CrossRef]

X. G. Meng, J. S. Wang, and B. L. Liang, “Two-mode excited squeezed vacuum state and its properties,” Commun. Theor. Phys. 49, 1299–1304 (2008).

[CrossRef]

X.-B. Wang, L. C. Kwek, Y. Liu, and C. H. Oh, “Non-classical effects of two-mode photon-added displaced squeezed states,” J. Phys. B At. Mol. Opt. Phys. 34, 1059–1078 (2001).

[CrossRef]

W. H. Louisell, Quantum Statistical Properties of Radiation (Wiley, 1973).

H. Y. Fan, H. L. Lu, and Y. Fan, “Newton-Leibniz integration for ket-bra operators in quantum mechanics and derivation of entangled state representations,” Ann. Phys. 321, 480–494 (2006).

[CrossRef]

A. P. Lund, T. C. Ralph, and H. L. Haselgrove, “Fault-tolerant linear optical quantum computing with small-amplitude coherent states,” Phys. Rev. Lett. 100, 030503 (2008).

[CrossRef]

W. Magnus, F. Oberhettinger, and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics (Springer, 1996).

Ya. A. Korennoy and V. I. Man’ko, “Optical tomography of photon-added coherent states, even and odd coherent states, and thermal states,” Phys. Rev. A 83, 053817 (2011).

[CrossRef]

V. V. Dodonov, M. A. Marchiolli, Y. A. Korennoy, V. I. Man’ko, and Y. A. Moukhin, “Dynamical squeezing of photon-added coherent states,” Phys. Rev. A 58, 4087–4094 (1998).

[CrossRef]

L. Mandel, “Squeezed states and sub-Poissonian photon statistics,” Phys. Rev. Lett. 49, 136–138 (1982).

[CrossRef]

V. V. Dodonov, M. A. Marchiolli, Y. A. Korennoy, V. I. Man’ko, and Y. A. Moukhin, “Dynamical squeezing of photon-added coherent states,” Phys. Rev. A 58, 4087–4094 (1998).

[CrossRef]

P. Marian, T. A. Marian, and H. Scutaru, “Bures distance as a measure of entanglement for two-mode squeezed thermal states,” Phys. Rev. A 68, 062309 (2003).

[CrossRef]

P. Marian, T. A. Marian, and H. Scutaru, “Bures distance as a measure of entanglement for two-mode squeezed thermal states,” Phys. Rev. A 68, 062309 (2003).

[CrossRef]

X. G. Meng, J. S. Wang, and B. L. Liang, “Two-mode excited squeezed vacuum state and its properties,” Commun. Theor. Phys. 49, 1299–1304 (2008).

[CrossRef]

P. van Loock, W. J. Munro, K. Nemoto, T. P. Spiller, T. D. Ladd, S. L. Braunstein, and G. J. Milburn, “Hybrid quantum computation in quantum optics,” Phys. Rev. A 78, 022303 (2008).

[CrossRef]

T. C. Ralph, A. Gilchrist, G. J. Milburn, W. J. Munro, and S. Glancy, “Quantum computation with optical coherent states,” Phys. Rev. A 68, 042319 (2003).

[CrossRef]

J. S. Neergaard-Nielsen, B. M. Nielsen, C. Hettich, K. Mølmer, and E. S. Polzik, “Generation of a superposition of odd photon number states for quantum information networks,” Phys. Rev. Lett. 97, 083604 (2006).

[CrossRef]

V. V. Dodonov, M. A. Marchiolli, Y. A. Korennoy, V. I. Man’ko, and Y. A. Moukhin, “Dynamical squeezing of photon-added coherent states,” Phys. Rev. A 58, 4087–4094 (1998).

[CrossRef]

P. van Loock, W. J. Munro, K. Nemoto, T. P. Spiller, T. D. Ladd, S. L. Braunstein, and G. J. Milburn, “Hybrid quantum computation in quantum optics,” Phys. Rev. A 78, 022303 (2008).

[CrossRef]

T. C. Ralph, A. Gilchrist, G. J. Milburn, W. J. Munro, and S. Glancy, “Quantum computation with optical coherent states,” Phys. Rev. A 68, 042319 (2003).

[CrossRef]

N. J. Cerf, O. Krüger, P. Navez, R. F. Werner, and M. M. Wolf, “Non-Gaussian cloning of quantum coherent states is optimal,” Phys. Rev. Lett. 95, 070501 (2005).

[CrossRef]

J. S. Neergaard-Nielsen, B. M. Nielsen, C. Hettich, K. Mølmer, and E. S. Polzik, “Generation of a superposition of odd photon number states for quantum information networks,” Phys. Rev. Lett. 97, 083604 (2006).

[CrossRef]

H. Takahashi, J. S. Neergaard-Nielsenl, M. Takeuchil, M. Takeokal, K. Hayasakal, A. Furusawa, and M. Sasakil, “Entanglement distillation from Gaussian input states,” Nat. Photon. 4, 178–181 (2010).

[CrossRef]

P. van Loock, W. J. Munro, K. Nemoto, T. P. Spiller, T. D. Ladd, S. L. Braunstein, and G. J. Milburn, “Hybrid quantum computation in quantum optics,” Phys. Rev. A 78, 022303 (2008).

[CrossRef]

S.-Y. Lee, S.-W. Ji, H.-J. Kim, and H. Nha, “Enhancing quantum entanglement for continuous variables by a coherent superposition of photon subtraction and addition,” Phys. Rev. A 84, 012302 (2011).

[CrossRef]

S.-Y. Lee and H. Nha, “Quantum state engineering by a coherent superposition of photon subtraction and addition,” Phys. Rev. A 82, 053812 (2010).

[CrossRef]

H. Nha and H. J. Carmichael, “Proposed test of quantum nonlocality for continuous variables,” Phys. Rev. Lett. 93, 020401 (2004).

[CrossRef]

J. S. Neergaard-Nielsen, B. M. Nielsen, C. Hettich, K. Mølmer, and E. S. Polzik, “Generation of a superposition of odd photon number states for quantum information networks,” Phys. Rev. Lett. 97, 083604 (2006).

[CrossRef]

J. Niset, J. Fiurášek, and N. J. Cerf, “No-Go theorem for Gaussian quantum error correction,” Phys. Rev. Lett. 102, 120501 (2009).

[CrossRef]

W. Magnus, F. Oberhettinger, and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics (Springer, 1996).

X.-B. Wang, L. C. Kwek, Y. Liu, and C. H. Oh, “Non-classical effects of two-mode photon-added displaced squeezed states,” J. Phys. B At. Mol. Opt. Phys. 34, 1059–1078 (2001).

[CrossRef]

M. Dakna, T. Anhut, T. Opatrný, L. Knöll, and D.-G. Welsch, “Generating Schrödinger-cat-like states by means of conditional measurements on a beam splitter,” Phys. Rev. A 55, 3184–3194 (1997).

[CrossRef]

A. Ourjoumtsev, R. Tualle-Brouri, J. Laurat, and Ph. Grangier, “Generating optical Schrödinger kittens for quantum information processing,” Science 312, 83–86 (2006).

[CrossRef]

V. Parigi, A. Zavatta, and M. Bellini, “Manipulating thermal light states by the controlled addition and subtraction of single photons,” Laser Phys. Lett. 5, 246–251 (2008).

[CrossRef]

A. Zavatta, V. Parigi, and M. Bellini, “Experimental nonclassicality of single-photon-added thermal light states,” Phys. Rev. A 75, 052106 (2007).

[CrossRef]

M. Barbieri, N. Spagnolo, M. G. Genoni, F. Ferreyrol, R. Blandino, M. G. A. Paris, P. Grangier, and R. Tualle-Brouri, “Non-Gaussianity of quantum states: an experimental test on single-photon added coherent states,” Phys. Rev. A 82, 063833 (2010).

[CrossRef]

M. G. Genoni and M. G. A. Paris, “Quantifying non-Gaussianity for quantum information,” Phys. Rev. A 82, 052341 (2010).

[CrossRef]

M. G. Genoni, M. G. A. Paris, and K. Banaszek, “Quantifying the non-Gaussian character of a quantum state by quantum relative entropy,” Phys. Rev. A 78, 060303 (2008).

[CrossRef]

M. G. Genoni, M. G. A. Paris, and K. Banaszek, “Measure of the non-Gaussian character of a quantum state,” Phys. Rev. A 76, 042327 (2007).

[CrossRef]

M. S. Kim, E. Park, P. L. Knight, and H. Jeong, “Nonclassicality of a photon-subtracted Gaussian field,” Phys. Rev. A 71, 043805 (2005).

[CrossRef]

J. Eisert, S. Scheel, and M. B. Plenio, “Distilling Gaussian states with Gaussian operations is impossible,” Phys. Rev. Lett. 89, 137903 (2002).

[CrossRef]

J. S. Neergaard-Nielsen, B. M. Nielsen, C. Hettich, K. Mølmer, and E. S. Polzik, “Generation of a superposition of odd photon number states for quantum information networks,” Phys. Rev. Lett. 97, 083604 (2006).

[CrossRef]

A. P. Lund, T. C. Ralph, and H. L. Haselgrove, “Fault-tolerant linear optical quantum computing with small-amplitude coherent states,” Phys. Rev. Lett. 100, 030503 (2008).

[CrossRef]

T. C. Ralph, A. Gilchrist, G. J. Milburn, W. J. Munro, and S. Glancy, “Quantum computation with optical coherent states,” Phys. Rev. A 68, 042319 (2003).

[CrossRef]

K. Wakui, H. Takahashi, A. Furusawa, and M. Sasaki, “Photon subtracted squeezed states generated with periodically poled KTiOPO4,” Opt. Express 15, 3568–3574 (2007).

[CrossRef]

A. Kitagawa, M. Takeoka, M. Sasaki, and A. Chefles, “Entanglement evaluation of non-Gaussian states generated by photon subtraction from squeezed states,” Phys. Rev. A 73, 042310 (2006).

[CrossRef]

H. Takahashi, J. S. Neergaard-Nielsenl, M. Takeuchil, M. Takeokal, K. Hayasakal, A. Furusawa, and M. Sasakil, “Entanglement distillation from Gaussian input states,” Nat. Photon. 4, 178–181 (2010).

[CrossRef]

J. Eisert, S. Scheel, and M. B. Plenio, “Distilling Gaussian states with Gaussian operations is impossible,” Phys. Rev. Lett. 89, 137903 (2002).

[CrossRef]

W. Schleich, D. F. Walls, and J. A. Wheeler, “Area of overlap and interference in phase space versus Wigner pseudoprobabilities,” Phys. Rev. A 38, 1177–1186 (1988).

[CrossRef]

W. Schleich and J. A. Wheeler, “Oscillations in photon distribution of squeezed states and interference in phase space,” Nature 326, 574–577 (1987).

[CrossRef]

W. Schleich and J. A. Wheeler, “Oscillations in photon distribution of squeezed states,” J. Opt. Soc. Am. B 4, 1715–1722 (1987).

[CrossRef]

M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, 2004).

P. Marian, T. A. Marian, and H. Scutaru, “Bures distance as a measure of entanglement for two-mode squeezed thermal states,” Phys. Rev. A 68, 062309 (2003).

[CrossRef]

S. Sivakumar, “Photon-added coherent states in parametric down-conversion,” Phys. Rev. A 83, 035802 (2011).

[CrossRef]

S. Sivakumar, “Studies on nonlinear coherent states,” J. Opt. B Quant. Semiclass. Opt. 2, R61–R75 (2000).

[CrossRef]

J. R. Klauder and B.-S. Skagerstam, Coherent States (World Scientific, 1985).

W. Magnus, F. Oberhettinger, and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics (Springer, 1996).

M. Barbieri, N. Spagnolo, M. G. Genoni, F. Ferreyrol, R. Blandino, M. G. A. Paris, P. Grangier, and R. Tualle-Brouri, “Non-Gaussianity of quantum states: an experimental test on single-photon added coherent states,” Phys. Rev. A 82, 063833 (2010).

[CrossRef]

P. van Loock, W. J. Munro, K. Nemoto, T. P. Spiller, T. D. Ladd, S. L. Braunstein, and G. J. Milburn, “Hybrid quantum computation in quantum optics,” Phys. Rev. A 78, 022303 (2008).

[CrossRef]

H. Takahashi, J. S. Neergaard-Nielsenl, M. Takeuchil, M. Takeokal, K. Hayasakal, A. Furusawa, and M. Sasakil, “Entanglement distillation from Gaussian input states,” Nat. Photon. 4, 178–181 (2010).

[CrossRef]

K. Wakui, H. Takahashi, A. Furusawa, and M. Sasaki, “Photon subtracted squeezed states generated with periodically poled KTiOPO4,” Opt. Express 15, 3568–3574 (2007).

[CrossRef]

Y. Takahashi and H. Umezawa, “Collective phenomena,” Int. J. Mod. Phys. 2, 55–80 (1975).

A. Kitagawa, M. Takeoka, M. Sasaki, and A. Chefles, “Entanglement evaluation of non-Gaussian states generated by photon subtraction from squeezed states,” Phys. Rev. A 73, 042310 (2006).

[CrossRef]

H. Takahashi, J. S. Neergaard-Nielsenl, M. Takeuchil, M. Takeokal, K. Hayasakal, A. Furusawa, and M. Sasakil, “Entanglement distillation from Gaussian input states,” Nat. Photon. 4, 178–181 (2010).

[CrossRef]

H. Takahashi, J. S. Neergaard-Nielsenl, M. Takeuchil, M. Takeokal, K. Hayasakal, A. Furusawa, and M. Sasakil, “Entanglement distillation from Gaussian input states,” Nat. Photon. 4, 178–181 (2010).

[CrossRef]

G. S. Agarwal and K. Tara, “Nonclassical character of states exhibiting no squeezing or sub-Poissonian statistics,” Phys. Rev. A 46, 485–488 (1992).

[CrossRef]

G. S. Agarwal and K. Tara, “Nonclassical properties of states generated by the excitations on a coherent state,” Phys. Rev. A 43, 492–497 (1991).

[CrossRef]

M. Barbieri, N. Spagnolo, M. G. Genoni, F. Ferreyrol, R. Blandino, M. G. A. Paris, P. Grangier, and R. Tualle-Brouri, “Non-Gaussianity of quantum states: an experimental test on single-photon added coherent states,” Phys. Rev. A 82, 063833 (2010).

[CrossRef]

A. Ourjoumtsev, R. Tualle-Brouri, J. Laurat, and Ph. Grangier, “Generating optical Schrödinger kittens for quantum information processing,” Science 312, 83–86 (2006).

[CrossRef]

J. Wenger, R. Tualle-Brouri, and P. Grangier, “Non-Gaussian statistics from individual pulses of squeezed light,” Phys. Rev. Lett. 92, 153601 (2004).

[CrossRef]

J. Wenger, R. Tualle-Brouri, and P. Grangier, “Non-Gaussian statistics from individual pulses of squeezed light,” Phys. Rev. Lett. 92, 153601 (2004).

[CrossRef]

Y. Takahashi and H. Umezawa, “Collective phenomena,” Int. J. Mod. Phys. 2, 55–80 (1975).

P. van Loock, W. J. Munro, K. Nemoto, T. P. Spiller, T. D. Ladd, S. L. Braunstein, and G. J. Milburn, “Hybrid quantum computation in quantum optics,” Phys. Rev. A 78, 022303 (2008).

[CrossRef]

A. Zavatta, S. Viciani, and M. Bellini, “Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission,” Phys. Rev. A 72, 023820 (2005).

[CrossRef]

A. Zavatta, S. Viciani, and M. Bellini, “Quantum-to-classical transition with single-photon-added coherent states of light,” Science 306, 660–662 (2004).

[CrossRef]

T. Kiesel, W. Vogel, M. Bellini, and A. Zavatta, “Nonclassicality quasiprobability of single-photon-added thermal states,” Phys. Rev. A 83, 032116 (2011).

[CrossRef]

W. Schleich, D. F. Walls, and J. A. Wheeler, “Area of overlap and interference in phase space versus Wigner pseudoprobabilities,” Phys. Rev. A 38, 1177–1186 (1988).

[CrossRef]

X. G. Meng, J. S. Wang, and B. L. Liang, “Two-mode excited squeezed vacuum state and its properties,” Commun. Theor. Phys. 49, 1299–1304 (2008).

[CrossRef]

X. G. Wang, C.-S. Yu, and X. X. Yi, “An alternative quantum fidelity for mixed states of qudits,” Phys. Lett. A 373, 58–60 (2008).

[CrossRef]

X.-B. Wang, L. C. Kwek, Y. Liu, and C. H. Oh, “Non-classical effects of two-mode photon-added displaced squeezed states,” J. Phys. B At. Mol. Opt. Phys. 34, 1059–1078 (2001).

[CrossRef]

M. Dakna, T. Anhut, T. Opatrný, L. Knöll, and D.-G. Welsch, “Generating Schrödinger-cat-like states by means of conditional measurements on a beam splitter,” Phys. Rev. A 55, 3184–3194 (1997).

[CrossRef]

J. Wenger, R. Tualle-Brouri, and P. Grangier, “Non-Gaussian statistics from individual pulses of squeezed light,” Phys. Rev. Lett. 92, 153601 (2004).

[CrossRef]

J. Wenger, R. Tualle-Brouri, and P. Grangier, “Non-Gaussian statistics from individual pulses of squeezed light,” Phys. Rev. Lett. 92, 153601 (2004).

[CrossRef]

N. J. Cerf, O. Krüger, P. Navez, R. F. Werner, and M. M. Wolf, “Non-Gaussian cloning of quantum coherent states is optimal,” Phys. Rev. Lett. 95, 070501 (2005).

[CrossRef]

H. Weyl, “Quantenmechanik und Gruppentheorie,” Z. Phys. 46, 1–46 (1927).

[CrossRef]

W. Schleich, D. F. Walls, and J. A. Wheeler, “Area of overlap and interference in phase space versus Wigner pseudoprobabilities,” Phys. Rev. A 38, 1177–1186 (1988).

[CrossRef]

W. Schleich and J. A. Wheeler, “Oscillations in photon distribution of squeezed states and interference in phase space,” Nature 326, 574–577 (1987).

[CrossRef]

W. Schleich and J. A. Wheeler, “Oscillations in photon distribution of squeezed states,” J. Opt. Soc. Am. B 4, 1715–1722 (1987).

[CrossRef]

N. J. Cerf, O. Krüger, P. Navez, R. F. Werner, and M. M. Wolf, “Non-Gaussian cloning of quantum coherent states is optimal,” Phys. Rev. Lett. 95, 070501 (2005).

[CrossRef]

Y. Yang and F.-L. Li, “Entanglement properties of non-Gaussian resources generated via photon subtraction and addition and continuous-variable quantum-teleportation improvement,” Phys. Rev. A 80, 022315 (2009).

[CrossRef]

X. G. Wang, C.-S. Yu, and X. X. Yi, “An alternative quantum fidelity for mixed states of qudits,” Phys. Lett. A 373, 58–60 (2008).

[CrossRef]

X. G. Wang, C.-S. Yu, and X. X. Yi, “An alternative quantum fidelity for mixed states of qudits,” Phys. Lett. A 373, 58–60 (2008).

[CrossRef]

H. Y. Fan and H. R. Zaidi, “Application of IWOP technique to the generalized Weyl correspondence,” Phys. Lett. A 124, 303–307 (1987).

[CrossRef]

T. Kiesel, W. Vogel, M. Bellini, and A. Zavatta, “Nonclassicality quasiprobability of single-photon-added thermal states,” Phys. Rev. A 83, 032116 (2011).

[CrossRef]

V. Parigi, A. Zavatta, and M. Bellini, “Manipulating thermal light states by the controlled addition and subtraction of single photons,” Laser Phys. Lett. 5, 246–251 (2008).

[CrossRef]

A. Zavatta, V. Parigi, and M. Bellini, “Experimental nonclassicality of single-photon-added thermal light states,” Phys. Rev. A 75, 052106 (2007).

[CrossRef]

A. Zavatta, S. Viciani, and M. Bellini, “Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission,” Phys. Rev. A 72, 023820 (2005).

[CrossRef]

A. Zavatta, S. Viciani, and M. Bellini, “Quantum-to-classical transition with single-photon-added coherent states of light,” Science 306, 660–662 (2004).

[CrossRef]

H.-R. Li, F.-L. Li, and S.-Y. Zhu, “Inseparability of photon-added Gaussian states,” Phys. Rev. A 75, 062318 (2007).

[CrossRef]

C. W. Gardner and P. Zoller, Quantum Noise (Springer, 2000).

M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, 2004).

H. Y. Fan, H. L. Lu, and Y. Fan, “Newton-Leibniz integration for ket-bra operators in quantum mechanics and derivation of entangled state representations,” Ann. Phys. 321, 480–494 (2006).

[CrossRef]

X. G. Meng, J. S. Wang, and B. L. Liang, “Two-mode excited squeezed vacuum state and its properties,” Commun. Theor. Phys. 49, 1299–1304 (2008).

[CrossRef]

Y. Takahashi and H. Umezawa, “Collective phenomena,” Int. J. Mod. Phys. 2, 55–80 (1975).

M. Ban, “Photon statistics of conditional output states of lossless beam splitter,” J. Mod. Opt. 43, 1281–1303 (1996).

[CrossRef]

V. V. Dodonov, “‘Nonclassical’ states in quantum optics: a ‘squeezed’ review of the first 75 years,” J. Opt. B Quant. Semiclass. Opt. 4, R1–R33 (2002).

[CrossRef]

V. V. Dodonov and L. A. de Souza, “Decoherence of superpositions of displaced number states,” J. Opt. B Quant. Semiclass. Opt. 7, S490–S499 (2005).

[CrossRef]

S. Sivakumar, “Studies on nonlinear coherent states,” J. Opt. B Quant. Semiclass. Opt. 2, R61–R75 (2000).

[CrossRef]

W. Schleich and J. A. Wheeler, “Oscillations in photon distribution of squeezed states,” J. Opt. Soc. Am. B 4, 1715–1722 (1987).

[CrossRef]

L. Y. Hu and Z. M. Zhang, “Nonclassicality and decoherence of photon-added squeezed thermal state in thermal environment,” J. Opt. Soc. Am. B 29, 529–537 (2012).

[CrossRef]

S.-Y. Lee, J. Y. Park, S.-W. Ji, C. H. R. Ooi, and H.-W. Lee, “Nonclassicality generated by photon annihilation-then-creation and creation-then-annihilation operations,” J. Opt. Soc. Am. B 26, 1532–1537 (2009).

[CrossRef]

M. S. Kim, “Recent developments in photon-level operations on travelling light fields,” J. Phys. B At. Mol. Opt. Phys. 41, 133001 (2008).

[CrossRef]

X.-B. Wang, L. C. Kwek, Y. Liu, and C. H. Oh, “Non-classical effects of two-mode photon-added displaced squeezed states,” J. Phys. B At. Mol. Opt. Phys. 34, 1059–1078 (2001).

[CrossRef]

V. Parigi, A. Zavatta, and M. Bellini, “Manipulating thermal light states by the controlled addition and subtraction of single photons,” Laser Phys. Lett. 5, 246–251 (2008).

[CrossRef]

H. Takahashi, J. S. Neergaard-Nielsenl, M. Takeuchil, M. Takeokal, K. Hayasakal, A. Furusawa, and M. Sasakil, “Entanglement distillation from Gaussian input states,” Nat. Photon. 4, 178–181 (2010).

[CrossRef]

W. Schleich and J. A. Wheeler, “Oscillations in photon distribution of squeezed states and interference in phase space,” Nature 326, 574–577 (1987).

[CrossRef]

H. Y. Fan and L. Y. Hu, “New approach for analyzing time evolution of density operator in a dissipative channel by the entangled state representation,” Opt. Commun. 281, 5571–5573 (2008).

[CrossRef]

H. Y. Fan and H. R. Zaidi, “Application of IWOP technique to the generalized Weyl correspondence,” Phys. Lett. A 124, 303–307 (1987).

[CrossRef]

X. G. Wang, C.-S. Yu, and X. X. Yi, “An alternative quantum fidelity for mixed states of qudits,” Phys. Lett. A 373, 58–60 (2008).

[CrossRef]

R. J. Glauber, “The quantum theory of optical coherence,” Phys. Rev. 130, 2529–2539 (1963).

[CrossRef]

V. V. Dodonov, M. A. Marchiolli, Y. A. Korennoy, V. I. Man’ko, and Y. A. Moukhin, “Dynamical squeezing of photon-added coherent states,” Phys. Rev. A 58, 4087–4094 (1998).

[CrossRef]

P. van Loock, W. J. Munro, K. Nemoto, T. P. Spiller, T. D. Ladd, S. L. Braunstein, and G. J. Milburn, “Hybrid quantum computation in quantum optics,” Phys. Rev. A 78, 022303 (2008).

[CrossRef]

A. Biswas and G. S. Agarwal, “Nonclassicality and decoherence of photon-subtracted squeezed states,” Phys. Rev. A 75, 032104 (2007).

[CrossRef]

C. T. Lee, “Theorem on nonclassical states,” Phys. Rev. A 52, 3374–3376 (1995).

[CrossRef]

T. Kiesel, W. Vogel, M. Bellini, and A. Zavatta, “Nonclassicality quasiprobability of single-photon-added thermal states,” Phys. Rev. A 83, 032116 (2011).

[CrossRef]

C. T. Lee, “Many-photon antibunching in generalized pair coherent states,” Phys. Rev. A 41, 1569–1575 (1990).

[CrossRef]

Ya. A. Korennoy and V. I. Man’ko, “Optical tomography of photon-added coherent states, even and odd coherent states, and thermal states,” Phys. Rev. A 83, 053817 (2011).

[CrossRef]

M. G. Genoni, M. G. A. Paris, and K. Banaszek, “Quantifying the non-Gaussian character of a quantum state by quantum relative entropy,” Phys. Rev. A 78, 060303 (2008).

[CrossRef]

Y. Yang and F.-L. Li, “Entanglement properties of non-Gaussian resources generated via photon subtraction and addition and continuous-variable quantum-teleportation improvement,” Phys. Rev. A 80, 022315 (2009).

[CrossRef]

M. G. Genoni and M. G. A. Paris, “Quantifying non-Gaussianity for quantum information,” Phys. Rev. A 82, 052341 (2010).

[CrossRef]

G. S. Agarwal and K. Tara, “Nonclassical properties of states generated by the excitations on a coherent state,” Phys. Rev. A 43, 492–497 (1991).

[CrossRef]

A. Kitagawa, M. Takeoka, M. Sasaki, and A. Chefles, “Entanglement evaluation of non-Gaussian states generated by photon subtraction from squeezed states,” Phys. Rev. A 73, 042310 (2006).

[CrossRef]

P. Marian, T. A. Marian, and H. Scutaru, “Bures distance as a measure of entanglement for two-mode squeezed thermal states,” Phys. Rev. A 68, 062309 (2003).

[CrossRef]

M. G. Genoni, M. G. A. Paris, and K. Banaszek, “Measure of the non-Gaussian character of a quantum state,” Phys. Rev. A 76, 042327 (2007).

[CrossRef]

M. Dakna, T. Anhut, T. Opatrný, L. Knöll, and D.-G. Welsch, “Generating Schrödinger-cat-like states by means of conditional measurements on a beam splitter,” Phys. Rev. A 55, 3184–3194 (1997).

[CrossRef]

H.-R. Li, F.-L. Li, and S.-Y. Zhu, “Inseparability of photon-added Gaussian states,” Phys. Rev. A 75, 062318 (2007).

[CrossRef]

G. Giedke and J. I. Cirac, “Characterization of Gaussian operations and distillation of Gaussian states,” Phys. Rev. A 66, 032316 (2002).

[CrossRef]

T. C. Ralph, A. Gilchrist, G. J. Milburn, W. J. Munro, and S. Glancy, “Quantum computation with optical coherent states,” Phys. Rev. A 68, 042319 (2003).

[CrossRef]

A. Zavatta, S. Viciani, and M. Bellini, “Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission,” Phys. Rev. A 72, 023820 (2005).

[CrossRef]

S. Sivakumar, “Photon-added coherent states in parametric down-conversion,” Phys. Rev. A 83, 035802 (2011).

[CrossRef]

S.-Y. Lee and H. Nha, “Quantum state engineering by a coherent superposition of photon subtraction and addition,” Phys. Rev. A 82, 053812 (2010).

[CrossRef]

M. Barbieri, N. Spagnolo, M. G. Genoni, F. Ferreyrol, R. Blandino, M. G. A. Paris, P. Grangier, and R. Tualle-Brouri, “Non-Gaussianity of quantum states: an experimental test on single-photon added coherent states,” Phys. Rev. A 82, 063833 (2010).

[CrossRef]

M. S. Kim, E. Park, P. L. Knight, and H. Jeong, “Nonclassicality of a photon-subtracted Gaussian field,” Phys. Rev. A 71, 043805 (2005).

[CrossRef]

G. S. Agarwal and K. Tara, “Nonclassical character of states exhibiting no squeezing or sub-Poissonian statistics,” Phys. Rev. A 46, 485–488 (1992).

[CrossRef]

W. Schleich, D. F. Walls, and J. A. Wheeler, “Area of overlap and interference in phase space versus Wigner pseudoprobabilities,” Phys. Rev. A 38, 1177–1186 (1988).

[CrossRef]

S.-Y. Lee, S.-W. Ji, H.-J. Kim, and H. Nha, “Enhancing quantum entanglement for continuous variables by a coherent superposition of photon subtraction and addition,” Phys. Rev. A 84, 012302 (2011).

[CrossRef]

A. Zavatta, V. Parigi, and M. Bellini, “Experimental nonclassicality of single-photon-added thermal light states,” Phys. Rev. A 75, 052106 (2007).

[CrossRef]

H. Nha and H. J. Carmichael, “Proposed test of quantum nonlocality for continuous variables,” Phys. Rev. Lett. 93, 020401 (2004).

[CrossRef]

A. P. Lund, T. C. Ralph, and H. L. Haselgrove, “Fault-tolerant linear optical quantum computing with small-amplitude coherent states,” Phys. Rev. Lett. 100, 030503 (2008).

[CrossRef]

J. Eisert, S. Scheel, and M. B. Plenio, “Distilling Gaussian states with Gaussian operations is impossible,” Phys. Rev. Lett. 89, 137903 (2002).

[CrossRef]

N. J. Cerf, O. Krüger, P. Navez, R. F. Werner, and M. M. Wolf, “Non-Gaussian cloning of quantum coherent states is optimal,” Phys. Rev. Lett. 95, 070501 (2005).

[CrossRef]

J. S. Neergaard-Nielsen, B. M. Nielsen, C. Hettich, K. Mølmer, and E. S. Polzik, “Generation of a superposition of odd photon number states for quantum information networks,” Phys. Rev. Lett. 97, 083604 (2006).

[CrossRef]

J. Wenger, R. Tualle-Brouri, and P. Grangier, “Non-Gaussian statistics from individual pulses of squeezed light,” Phys. Rev. Lett. 92, 153601 (2004).

[CrossRef]

S. L. Braunstein and H. J. Kimble, “Teleportation of continuous quantum variables,” Phys. Rev. Lett. 80, 869–872 (1998).

[CrossRef]

L. Mandel, “Squeezed states and sub-Poissonian photon statistics,” Phys. Rev. Lett. 49, 136–138 (1982).

[CrossRef]

J. Niset, J. Fiurášek, and N. J. Cerf, “No-Go theorem for Gaussian quantum error correction,” Phys. Rev. Lett. 102, 120501 (2009).

[CrossRef]

J. Wenger, R. Tualle-Brouri, and P. Grangier, “Non-Gaussian statistics from individual pulses of squeezed light,” Phys. Rev. Lett. 92, 153601 (2004).

[CrossRef]

A. Ourjoumtsev, R. Tualle-Brouri, J. Laurat, and Ph. Grangier, “Generating optical Schrödinger kittens for quantum information processing,” Science 312, 83–86 (2006).

[CrossRef]

A. Zavatta, S. Viciani, and M. Bellini, “Quantum-to-classical transition with single-photon-added coherent states of light,” Science 306, 660–662 (2004).

[CrossRef]

H. Weyl, “Quantenmechanik und Gruppentheorie,” Z. Phys. 46, 1–46 (1927).

[CrossRef]

J. R. Klauder and B.-S. Skagerstam, Coherent States (World Scientific, 1985).

M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, 2004).

C. W. Gardner and P. Zoller, Quantum Noise (Springer, 2000).

W. Magnus, F. Oberhettinger, and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics (Springer, 1996).

W. H. Louisell, Quantum Statistical Properties of Radiation (Wiley, 1973).