M. Mehmet, H. Vahlbruch, N. Lastzka, K. Danzmann, and R. Schnabel, “Observation of squeezed states with strong photon-number oscillations,” Phys. Rev. A 81, 013814 (2010).

[CrossRef]

S. Wang, X. Y. Zhang, and H. Q. Li, “Radiation field eigenstates and its unitary equivalence to coordinate eigenstates,” Opt. Commun. 283, 2716–2718 (2010).

[CrossRef]

M. Aspachs, J. Calsamiglia, R. Muñoz-Tapia, and E. Bagan, “Phase estimation for thermal Gaussian states,” Phys. Rev. A 79, 033834 (2009).

[CrossRef]

H. Y. Fan, L. Y. Hu, and X. X. Xu, “Legendre polynomials as the normalization of photon-subtracted squeezed states,” Mod. Phys. Lett. A 24, 1597–1603 (2009).

[CrossRef]

J. Lee, J. Kim, and H. Nha, “Demonstrating higher-order nonclassical effects by photon-added classical states: realistic schemes,” J. Opt. Soc. Am. B 26, 1363–1369 (2009).

[CrossRef]

L. Y. Hu and H. Y. Fan, “Statistical properties of photon-subtracted squeezed vacuum in thermal environment,” J. Opt. Soc. Am. B 25, 1955–1964 (2008).

[CrossRef]

G. Adesso and G. Chiribella, “Quantum benchmark for teleportation and storage of squeezed states,” Phys. Rev. Lett. 100, 170503 (2008).

[CrossRef]

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Gobler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10 dB quantum-noise reduction,” Phys. Rev. Lett. 100, 033602 (2008).

[CrossRef]

H. Y. Fan, “Newton–Leibniz integration for ket–bra operators in quantum mechanics (IV)—integrations within Weyl ordered product of operators and their applications,” Ann. Phys. 323, 500–526 (2008).

[CrossRef]

P. Blasiak, A. Horzela, K. A. Penson, A. I. Solomon, and G. H. E. Duchamp, “Combinatorics and Boson normal ordering: a gentle introduction,” Am. J. Phys. 75, 639–646 (2007).

[CrossRef]

H. 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]

S. L. Braunstein and P. Van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77, 513–577 (2005).

[CrossRef]

N. Takei, T. Aoki, S. Koike, K. I. Yoshino, K. Wakui, H. Yonezawa, T. Hiraoka, J. Mizuno, M. Takeoka, M. Ban, and A. Furusawa, “Experimental demonstration of quantum teleportation of a squeezed state,” Phys. Rev. A 72, 042304 (2005).

[CrossRef]

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

[CrossRef]

M. S. Kim, W. Son, V. Buzek, and P. L. Knight, “Entanglement by a beam splitter: nonclassicality as a prerequisite for entanglement,” Phys. Rev. A 65, 032323 (2002).

[CrossRef]

H. Y. Fan and Y. Fan, “Weyl ordering for entangled state representation,” Int. J. Mod. Phys. A 17, 701–708 (2002).

[CrossRef]

S. L. Braunstein and H. J. Kimble, “Dense coding for continuous variables,” Phys. Rev. A 61, 042302 (2000).

[CrossRef]

Z. H. Musslimani and Y. Ben-Ayreh, “Quantum phase distribution of thermal phase-squeezed states,” Phys. Rev. A 57, 1451–1453 (1998).

[CrossRef]

P. Marian and T. A. Marian, “Squeezed states with thermal noise. I. photon-number statistics,” Phys. Rev. A 47, 4474–4486 (1993).

[CrossRef]

P. Marian, “Higher-order squeezing and photon statistics for squeezed thermal states,” Phys. Rev. A 45, 2044–2051 (1992).

[CrossRef]

H. Ezawa, A. Mann, K. Nakamura, and M. Revzen, “Characterization of thermal coherent and thermal squeezed states,” Ann. Phys. 209, 216–230 (1991).

[CrossRef]

M. S. Kim, F. A. M. de Oliveira, and P. L. Knight, “Properties of squeezed number states and squeezed thermal states,” Phys. Rev. A 40, 2494–2053 (1989).

[CrossRef]

H. Fearn and M. J. Collett, “Representations of squeezed states with thermal noise,” J. Mod. Opt. 35, 553–564 (1988).

[CrossRef]

A. Ekert and K. Rzażewski, “Second harmonic generation and statistical properties of light,” Opt. Commun. 65, 225–228(1988).

[CrossRef]

J. Janszky and Y. Yushin, “Many-photon processes with the participation of squeezed light,” Phys. Rev. A 36, 1288–1292 (1987).

[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]

B. Yurke and D. Stoler, “Generating quantum mechanical superpositions of macroscopically distinguishable states via amplitude dispersion,” Phys. Rev. Lett. 57, 13–16 (1986).

[CrossRef]

G. J. Milburn, “Quantum and classical Liouville dynamics of the anharmonic oscillator,” Phys. Rev. A 33, 674–685 (1986).

[CrossRef]

C. K. Hong and L. Mandel, “Generation of higher-order squeezing of quantum electromagnetic fields,” Phys. Rev. A 32, 974–982 (1985).

[CrossRef]

H. P. Yuen, “Two-photon coherent states of the radiation field,” Phys. Rev. A 13, 2226–2243 (1976).

[CrossRef]

D. Stoler, “Equivalence classes of minimum uncertainty packets,” Phys. Rev. D 1, 3217–3219 (1970).

[CrossRef]

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

[CrossRef]

R. J. Glauber, “Coherent and incoherent states of the radiation field,” Phys. Rev. 131, 2766–2788 (1963).

[CrossRef]

E. Wigner, “On the quantum correction for thermodynamic equilibrium,” Phys. Rev. 40, 749–759 (1932).

[CrossRef]

G. Adesso and G. Chiribella, “Quantum benchmark for teleportation and storage of squeezed states,” Phys. Rev. Lett. 100, 170503 (2008).

[CrossRef]

N. Takei, T. Aoki, S. Koike, K. I. Yoshino, K. Wakui, H. Yonezawa, T. Hiraoka, J. Mizuno, M. Takeoka, M. Ban, and A. Furusawa, “Experimental demonstration of quantum teleportation of a squeezed state,” Phys. Rev. A 72, 042304 (2005).

[CrossRef]

M. Aspachs, J. Calsamiglia, R. Muñoz-Tapia, and E. Bagan, “Phase estimation for thermal Gaussian states,” Phys. Rev. A 79, 033834 (2009).

[CrossRef]

M. Aspachs, J. Calsamiglia, R. Muñoz-Tapia, and E. Bagan, “Phase estimation for thermal Gaussian states,” Phys. Rev. A 79, 033834 (2009).

[CrossRef]

N. Takei, T. Aoki, S. Koike, K. I. Yoshino, K. Wakui, H. Yonezawa, T. Hiraoka, J. Mizuno, M. Takeoka, M. Ban, and A. Furusawa, “Experimental demonstration of quantum teleportation of a squeezed state,” Phys. Rev. A 72, 042304 (2005).

[CrossRef]

Z. H. Musslimani and Y. Ben-Ayreh, “Quantum phase distribution of thermal phase-squeezed states,” Phys. Rev. A 57, 1451–1453 (1998).

[CrossRef]

P. Blasiak, A. Horzela, K. A. Penson, A. I. Solomon, and G. H. E. Duchamp, “Combinatorics and Boson normal ordering: a gentle introduction,” Am. J. Phys. 75, 639–646 (2007).

[CrossRef]

S. L. Braunstein and P. Van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77, 513–577 (2005).

[CrossRef]

S. L. Braunstein and H. J. Kimble, “Dense coding for continuous variables,” Phys. Rev. A 61, 042302 (2000).

[CrossRef]

S. L. Braunstein and A. K. Pati, Quantum Information with Continuous Variables (Kluwer Academic, 2003).

M. S. Kim, W. Son, V. Buzek, and P. L. Knight, “Entanglement by a beam splitter: nonclassicality as a prerequisite for entanglement,” Phys. Rev. A 65, 032323 (2002).

[CrossRef]

M. Aspachs, J. Calsamiglia, R. Muñoz-Tapia, and E. Bagan, “Phase estimation for thermal Gaussian states,” Phys. Rev. A 79, 033834 (2009).

[CrossRef]

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Gobler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10 dB quantum-noise reduction,” Phys. Rev. Lett. 100, 033602 (2008).

[CrossRef]

G. Adesso and G. Chiribella, “Quantum benchmark for teleportation and storage of squeezed states,” Phys. Rev. Lett. 100, 170503 (2008).

[CrossRef]

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University, 2000).

H. Fearn and M. J. Collett, “Representations of squeezed states with thermal noise,” J. Mod. Opt. 35, 553–564 (1988).

[CrossRef]

M. Mehmet, H. Vahlbruch, N. Lastzka, K. Danzmann, and R. Schnabel, “Observation of squeezed states with strong photon-number oscillations,” Phys. Rev. A 81, 013814 (2010).

[CrossRef]

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Gobler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10 dB quantum-noise reduction,” Phys. Rev. Lett. 100, 033602 (2008).

[CrossRef]

M. S. Kim, F. A. M. de Oliveira, and P. L. Knight, “Properties of squeezed number states and squeezed thermal states,” Phys. Rev. A 40, 2494–2053 (1989).

[CrossRef]

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

[CrossRef]

P. Blasiak, A. Horzela, K. A. Penson, A. I. Solomon, and G. H. E. Duchamp, “Combinatorics and Boson normal ordering: a gentle introduction,” Am. J. Phys. 75, 639–646 (2007).

[CrossRef]

A. Ekert and K. Rzażewski, “Second harmonic generation and statistical properties of light,” Opt. Commun. 65, 225–228(1988).

[CrossRef]

H. Ezawa, A. Mann, K. Nakamura, and M. Revzen, “Characterization of thermal coherent and thermal squeezed states,” Ann. Phys. 209, 216–230 (1991).

[CrossRef]

S. Wang, X. X. Xu, H. C. Yuan, L. Y. Hu, and H. Y. Fan, “Coherent operation of photon subtraction and addition for squeezed thermal states: analysis of nonclassicality and decoherence,” J. Opt. Soc. Am. B 28, 2149–2158 (2011).

[CrossRef]

H. Y. Fan, L. Y. Hu, and X. X. Xu, “Legendre polynomials as the normalization of photon-subtracted squeezed states,” Mod. Phys. Lett. A 24, 1597–1603 (2009).

[CrossRef]

L. Y. Hu and H. Y. Fan, “Statistical properties of photon-subtracted squeezed vacuum in thermal environment,” J. Opt. Soc. Am. B 25, 1955–1964 (2008).

[CrossRef]

H. Y. Fan, “Newton–Leibniz integration for ket–bra operators in quantum mechanics (IV)—integrations within Weyl ordered product of operators and their applications,” Ann. Phys. 323, 500–526 (2008).

[CrossRef]

H. 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 Y. Fan, “Weyl ordering for entangled state representation,” Int. J. Mod. Phys. A 17, 701–708 (2002).

[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 and Y. Fan, “Weyl ordering for entangled state representation,” Int. J. Mod. Phys. A 17, 701–708 (2002).

[CrossRef]

H. Fearn and M. J. Collett, “Representations of squeezed states with thermal noise,” J. Mod. Opt. 35, 553–564 (1988).

[CrossRef]

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Gobler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10 dB quantum-noise reduction,” Phys. Rev. Lett. 100, 033602 (2008).

[CrossRef]

N. Takei, T. Aoki, S. Koike, K. I. Yoshino, K. Wakui, H. Yonezawa, T. Hiraoka, J. Mizuno, M. Takeoka, M. Ban, and A. Furusawa, “Experimental demonstration of quantum teleportation of a squeezed state,” Phys. Rev. A 72, 042304 (2005).

[CrossRef]

C. C. Gerry and P. L. Knight, Introductory Quantum Optics (Cambridge University, 2004).

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

[CrossRef]

R. J. Glauber, “Coherent and incoherent states of the radiation field,” Phys. Rev. 131, 2766–2788 (1963).

[CrossRef]

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Gobler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10 dB quantum-noise reduction,” Phys. Rev. Lett. 100, 033602 (2008).

[CrossRef]

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Gobler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10 dB quantum-noise reduction,” Phys. Rev. Lett. 100, 033602 (2008).

[CrossRef]

N. Takei, T. Aoki, S. Koike, K. I. Yoshino, K. Wakui, H. Yonezawa, T. Hiraoka, J. Mizuno, M. Takeoka, M. Ban, and A. Furusawa, “Experimental demonstration of quantum teleportation of a squeezed state,” Phys. Rev. A 72, 042304 (2005).

[CrossRef]

C. K. Hong and L. Mandel, “Generation of higher-order squeezing of quantum electromagnetic fields,” Phys. Rev. A 32, 974–982 (1985).

[CrossRef]

P. Blasiak, A. Horzela, K. A. Penson, A. I. Solomon, and G. H. E. Duchamp, “Combinatorics and Boson normal ordering: a gentle introduction,” Am. J. Phys. 75, 639–646 (2007).

[CrossRef]

S. Wang, X. X. Xu, H. C. Yuan, L. Y. Hu, and H. Y. Fan, “Coherent operation of photon subtraction and addition for squeezed thermal states: analysis of nonclassicality and decoherence,” J. Opt. Soc. Am. B 28, 2149–2158 (2011).

[CrossRef]

H. Y. Fan, L. Y. Hu, and X. X. Xu, “Legendre polynomials as the normalization of photon-subtracted squeezed states,” Mod. Phys. Lett. A 24, 1597–1603 (2009).

[CrossRef]

L. Y. Hu and H. Y. Fan, “Statistical properties of photon-subtracted squeezed vacuum in thermal environment,” J. Opt. Soc. Am. B 25, 1955–1964 (2008).

[CrossRef]

J. Janszky and Y. Yushin, “Many-photon processes with the participation of squeezed light,” Phys. Rev. A 36, 1288–1292 (1987).

[CrossRef]

M. S. Kim, W. Son, V. Buzek, and P. L. Knight, “Entanglement by a beam splitter: nonclassicality as a prerequisite for entanglement,” Phys. Rev. A 65, 032323 (2002).

[CrossRef]

M. S. Kim, F. A. M. de Oliveira, and P. L. Knight, “Properties of squeezed number states and squeezed thermal states,” Phys. Rev. A 40, 2494–2053 (1989).

[CrossRef]

S. L. Braunstein and H. J. Kimble, “Dense coding for continuous variables,” Phys. Rev. A 61, 042302 (2000).

[CrossRef]

M. S. Kim, W. Son, V. Buzek, and P. L. Knight, “Entanglement by a beam splitter: nonclassicality as a prerequisite for entanglement,” Phys. Rev. A 65, 032323 (2002).

[CrossRef]

M. S. Kim, F. A. M. de Oliveira, and P. L. Knight, “Properties of squeezed number states and squeezed thermal states,” Phys. Rev. A 40, 2494–2053 (1989).

[CrossRef]

C. C. Gerry and P. L. Knight, Introductory Quantum Optics (Cambridge University, 2004).

N. Takei, T. Aoki, S. Koike, K. I. Yoshino, K. Wakui, H. Yonezawa, T. Hiraoka, J. Mizuno, M. Takeoka, M. Ban, and A. Furusawa, “Experimental demonstration of quantum teleportation of a squeezed state,” Phys. Rev. A 72, 042304 (2005).

[CrossRef]

P. Lambropoulos and D. Petrosyan, Fundamentals of Quantum Optics and Quantum Information (Springer-Verlag, 2007).

M. Mehmet, H. Vahlbruch, N. Lastzka, K. Danzmann, and R. Schnabel, “Observation of squeezed states with strong photon-number oscillations,” Phys. Rev. A 81, 013814 (2010).

[CrossRef]

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Gobler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10 dB quantum-noise reduction,” Phys. Rev. Lett. 100, 033602 (2008).

[CrossRef]

U. Leonhardt, “Quantum theory of light” in Measuring the Quantum State of Light (Cambridge University, 1997), Chap. 2.

S. Wang, X. Y. Zhang, and H. Q. Li, “Radiation field eigenstates and its unitary equivalence to coordinate eigenstates,” Opt. Commun. 283, 2716–2718 (2010).

[CrossRef]

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

C. K. Hong and L. Mandel, “Generation of higher-order squeezing of quantum electromagnetic fields,” Phys. Rev. A 32, 974–982 (1985).

[CrossRef]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

H. Ezawa, A. Mann, K. Nakamura, and M. Revzen, “Characterization of thermal coherent and thermal squeezed states,” Ann. Phys. 209, 216–230 (1991).

[CrossRef]

P. Marian and T. A. Marian, “Squeezed states with thermal noise. I. photon-number statistics,” Phys. Rev. A 47, 4474–4486 (1993).

[CrossRef]

P. Marian, “Higher-order squeezing and photon statistics for squeezed thermal states,” Phys. Rev. A 45, 2044–2051 (1992).

[CrossRef]

P. Marian and T. A. Marian, “Squeezed states with thermal noise. I. photon-number statistics,” Phys. Rev. A 47, 4474–4486 (1993).

[CrossRef]

M. Mehmet, H. Vahlbruch, N. Lastzka, K. Danzmann, and R. Schnabel, “Observation of squeezed states with strong photon-number oscillations,” Phys. Rev. A 81, 013814 (2010).

[CrossRef]

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Gobler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10 dB quantum-noise reduction,” Phys. Rev. Lett. 100, 033602 (2008).

[CrossRef]

G. J. Milburn, “Quantum and classical Liouville dynamics of the anharmonic oscillator,” Phys. Rev. A 33, 674–685 (1986).

[CrossRef]

F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, 1994).

N. Takei, T. Aoki, S. Koike, K. I. Yoshino, K. Wakui, H. Yonezawa, T. Hiraoka, J. Mizuno, M. Takeoka, M. Ban, and A. Furusawa, “Experimental demonstration of quantum teleportation of a squeezed state,” Phys. Rev. A 72, 042304 (2005).

[CrossRef]

M. Aspachs, J. Calsamiglia, R. Muñoz-Tapia, and E. Bagan, “Phase estimation for thermal Gaussian states,” Phys. Rev. A 79, 033834 (2009).

[CrossRef]

Z. H. Musslimani and Y. Ben-Ayreh, “Quantum phase distribution of thermal phase-squeezed states,” Phys. Rev. A 57, 1451–1453 (1998).

[CrossRef]

H. Ezawa, A. Mann, K. Nakamura, and M. Revzen, “Characterization of thermal coherent and thermal squeezed states,” Ann. Phys. 209, 216–230 (1991).

[CrossRef]

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University, 2000).

S. L. Braunstein and A. K. Pati, Quantum Information with Continuous Variables (Kluwer Academic, 2003).

P. Blasiak, A. Horzela, K. A. Penson, A. I. Solomon, and G. H. E. Duchamp, “Combinatorics and Boson normal ordering: a gentle introduction,” Am. J. Phys. 75, 639–646 (2007).

[CrossRef]

P. Lambropoulos and D. Petrosyan, Fundamentals of Quantum Optics and Quantum Information (Springer-Verlag, 2007).

R. R. Puri, Mathematical Methods of Quantum Optics (Springer-Verlag, 2001).

H. Ezawa, A. Mann, K. Nakamura, and M. Revzen, “Characterization of thermal coherent and thermal squeezed states,” Ann. Phys. 209, 216–230 (1991).

[CrossRef]

A. Ekert and K. Rzażewski, “Second harmonic generation and statistical properties of light,” Opt. Commun. 65, 225–228(1988).

[CrossRef]

W. P. Schleich, Quantum Optics in Phase Space (Wiley-VCH, 2001).

M. Mehmet, H. Vahlbruch, N. Lastzka, K. Danzmann, and R. Schnabel, “Observation of squeezed states with strong photon-number oscillations,” Phys. Rev. A 81, 013814 (2010).

[CrossRef]

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Gobler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10 dB quantum-noise reduction,” Phys. Rev. Lett. 100, 033602 (2008).

[CrossRef]

M. O. Scully and M. S. Zubairy, “Squeezing via nonlinear optical processes,” in Quantum Optics (Cambridge University, 1997), Chap. 16.

P. Blasiak, A. Horzela, K. A. Penson, A. I. Solomon, and G. H. E. Duchamp, “Combinatorics and Boson normal ordering: a gentle introduction,” Am. J. Phys. 75, 639–646 (2007).

[CrossRef]

M. S. Kim, W. Son, V. Buzek, and P. L. Knight, “Entanglement by a beam splitter: nonclassicality as a prerequisite for entanglement,” Phys. Rev. A 65, 032323 (2002).

[CrossRef]

B. Yurke and D. Stoler, “Generating quantum mechanical superpositions of macroscopically distinguishable states via amplitude dispersion,” Phys. Rev. Lett. 57, 13–16 (1986).

[CrossRef]

D. Stoler, “Equivalence classes of minimum uncertainty packets,” Phys. Rev. D 1, 3217–3219 (1970).

[CrossRef]

N. Takei, T. Aoki, S. Koike, K. I. Yoshino, K. Wakui, H. Yonezawa, T. Hiraoka, J. Mizuno, M. Takeoka, M. Ban, and A. Furusawa, “Experimental demonstration of quantum teleportation of a squeezed state,” Phys. Rev. A 72, 042304 (2005).

[CrossRef]

N. Takei, T. Aoki, S. Koike, K. I. Yoshino, K. Wakui, H. Yonezawa, T. Hiraoka, J. Mizuno, M. Takeoka, M. Ban, and A. Furusawa, “Experimental demonstration of quantum teleportation of a squeezed state,” Phys. Rev. A 72, 042304 (2005).

[CrossRef]

M. Mehmet, H. Vahlbruch, N. Lastzka, K. Danzmann, and R. Schnabel, “Observation of squeezed states with strong photon-number oscillations,” Phys. Rev. A 81, 013814 (2010).

[CrossRef]

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Gobler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10 dB quantum-noise reduction,” Phys. Rev. Lett. 100, 033602 (2008).

[CrossRef]

S. L. Braunstein and P. Van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77, 513–577 (2005).

[CrossRef]

N. Takei, T. Aoki, S. Koike, K. I. Yoshino, K. Wakui, H. Yonezawa, T. Hiraoka, J. Mizuno, M. Takeoka, M. Ban, and A. Furusawa, “Experimental demonstration of quantum teleportation of a squeezed state,” Phys. Rev. A 72, 042304 (2005).

[CrossRef]

F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, 1994).

S. Wang, X. X. Xu, H. C. Yuan, L. Y. Hu, and H. Y. Fan, “Coherent operation of photon subtraction and addition for squeezed thermal states: analysis of nonclassicality and decoherence,” J. Opt. Soc. Am. B 28, 2149–2158 (2011).

[CrossRef]

S. Wang, X. Y. Zhang, and H. Q. Li, “Radiation field eigenstates and its unitary equivalence to coordinate eigenstates,” Opt. Commun. 283, 2716–2718 (2010).

[CrossRef]

H. Weyl, The Classical Groups (Princeton University, 1953).

E. Wigner, “On the quantum correction for thermodynamic equilibrium,” Phys. Rev. 40, 749–759 (1932).

[CrossRef]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).

S. Wang, X. X. Xu, H. C. Yuan, L. Y. Hu, and H. Y. Fan, “Coherent operation of photon subtraction and addition for squeezed thermal states: analysis of nonclassicality and decoherence,” J. Opt. Soc. Am. B 28, 2149–2158 (2011).

[CrossRef]

H. Y. Fan, L. Y. Hu, and X. X. Xu, “Legendre polynomials as the normalization of photon-subtracted squeezed states,” Mod. Phys. Lett. A 24, 1597–1603 (2009).

[CrossRef]

N. Takei, T. Aoki, S. Koike, K. I. Yoshino, K. Wakui, H. Yonezawa, T. Hiraoka, J. Mizuno, M. Takeoka, M. Ban, and A. Furusawa, “Experimental demonstration of quantum teleportation of a squeezed state,” Phys. Rev. A 72, 042304 (2005).

[CrossRef]

N. Takei, T. Aoki, S. Koike, K. I. Yoshino, K. Wakui, H. Yonezawa, T. Hiraoka, J. Mizuno, M. Takeoka, M. Ban, and A. Furusawa, “Experimental demonstration of quantum teleportation of a squeezed state,” Phys. Rev. A 72, 042304 (2005).

[CrossRef]

H. P. Yuen, “Two-photon coherent states of the radiation field,” Phys. Rev. A 13, 2226–2243 (1976).

[CrossRef]

B. Yurke and D. Stoler, “Generating quantum mechanical superpositions of macroscopically distinguishable states via amplitude dispersion,” Phys. Rev. Lett. 57, 13–16 (1986).

[CrossRef]

J. Janszky and Y. Yushin, “Many-photon processes with the participation of squeezed light,” Phys. Rev. A 36, 1288–1292 (1987).

[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]

S. Wang, X. Y. Zhang, and H. Q. Li, “Radiation field eigenstates and its unitary equivalence to coordinate eigenstates,” Opt. Commun. 283, 2716–2718 (2010).

[CrossRef]

M. O. Scully and M. S. Zubairy, “Squeezing via nonlinear optical processes,” in Quantum Optics (Cambridge University, 1997), Chap. 16.

P. Blasiak, A. Horzela, K. A. Penson, A. I. Solomon, and G. H. E. Duchamp, “Combinatorics and Boson normal ordering: a gentle introduction,” Am. J. Phys. 75, 639–646 (2007).

[CrossRef]

H. 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]

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