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F. Dell’Anno, S. De Siena, L. Albano, and F. Illuminati, “Continuous-variable quantum teleportation with non-Gaussian resources,” Phys. Rev. A76, 022301 (2007).

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M. Allegra, P. Giorda, and M. G. A. Paris, “Decoherence of Gaussian and nonGaussian photon-number entangled states in a noisy channel,” Int. J. Quant. Inf.9, 27–38 (2011).

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M. Allegra, P. Giorda, and M. G. A. Paris, “Role of initial entanglement and non-Gaussianity in the decoherence of photon-number entangled states evolving in a noisy channel,” Phys. Rev. Lett.105, 100503 (2010).

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[CrossRef]

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[CrossRef]
[PubMed]

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[CrossRef]
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[CrossRef]

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[CrossRef]

A. Zavatta, V. Parigi, M. S. Kim, H. Jeong, and M. Bellini, “Experimental demonstration of the bosonic commutation relation via superpositions of quantum operations on thermal light fields,” Phys. Rev. Lett.103, 140406 (2009).

[CrossRef]
[PubMed]

M. S. Kim, H. Jeong, A. Zavatta, V. Parigi, and M. Bellini, “Scheme for proving the bosonic commutation relation using single-photon interference,” Phys. Rev. Lett.101, 260401 (2008).

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[CrossRef]
[PubMed]

C. C. Gerry, J. Mimih, and R. Birrittella, “State-projective scheme for generating pair coherent states in traveling-wave optical fields,” Phys. Rev. A84, 023810 (2011).

[CrossRef]

S. Olivares, M. G. A. Paris, and R. Bonifacio, “Teleportation improvement by inconclusive photon subtraction,” Phys. Rev. A67, 032314 (2003).

[CrossRef]

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett.70, 1895–1899 (1993).

[CrossRef]
[PubMed]

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

[CrossRef]

S. Lloyd and S. L. Braunstein, “Quantum computation over continuous variables,” Phys. Rev. Lett.82, 1784– 1787 (1999).

[CrossRef]

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

[CrossRef]

G. Brida, M. Genovese, M. Gramegna, M. G. A. Paris, E. Predazzi, and E. Cagliero, “On the reconstruction of diagonal elements of density matrix of quantum optical states by on/off detectors,” Open Syst. Inf. Dyn.13, 333–341 (2006).

[CrossRef]

H. Jeong, W. Son, M. S. Kim, D. Ahn, and C. Brukner, “Quantum nonlocality test for continuous-variable states with dichotomic observables,” Phys. Rev. A67, 012106 (2003).

[CrossRef]

G. Brida, M. Genovese, M. Gramegna, M. G. A. Paris, E. Predazzi, and E. Cagliero, “On the reconstruction of diagonal elements of density matrix of quantum optical states by on/off detectors,” Open Syst. Inf. Dyn.13, 333–341 (2006).

[CrossRef]

H. Nha, G.-J. Milburn, and H. J. Carmichael, “Linear amplification and quantum cloning for non-Gaussian continuous variables,” New J. Phys.12, 103010 (2010).

[CrossRef]

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

[CrossRef]
[PubMed]

R. García-Patrón, J. Fiurášek, N. J. Cerf, J. Wenger, R. Tualle-Brouri, and P. Grangier, “Proposal for a loophole-free Bell test using homodyne detection,” Phys. Rev. Lett.93, 130409 (2004).

[CrossRef]
[PubMed]

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A. Kitagawa, M. Takeoka, M. Sasaki, and A. Chefles, “Entanglement evaluation of non-Gaussian states generated by photon subtraction from squeezed states,” Phys. Rev. A73, 042310 (2006).

[CrossRef]

B. Julsgarrd, J. Sherson, J. I. Cirac, J. Fiurasek, and E. S. Polzik, “Experimental demonstration of quantum memory for light,” Nature432, 482–486 (2004).

[CrossRef]

J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett.23, 880–884 (1969).

[CrossRef]

P. T. Cochrane, T. C. Ralph, and G. J. Milburn, “Teleportation improvement by conditional measurements on the two-mode squeezed vacuum,” Phys. Rev. A65, 062306 (2002).

[CrossRef]

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett.70, 1895–1899 (1993).

[CrossRef]
[PubMed]

S. Daffer and P. L. Knight, “Generating optimal states for a homodyne Bell test,” Phys. Rev. A72, 034101 (2005).

[CrossRef]

A. Ourjoumtsev, A. Dantan, R. Tualle-Brouri, and P. Grangier, “Increasing entanglement between Gaussian states by coherent photon subtraction,” Phys. Rev. Lett.98, 030502 (2007).

[CrossRef]
[PubMed]

F. Dell’Anno, S. De Siena, and F. Illuminati, “Realistic continuous-variable quantum teleportation with non-Gaussian resources,” Phys. Rev. A81, 012333 (2010).

[CrossRef]

F. Dell’Anno, S. De Siena, L. Albano, and F. Illuminati, “Continuous-variable quantum teleportation with non-Gaussian resources,” Phys. Rev. A76, 022301 (2007).

[CrossRef]

F. Dell’Anno, S. De Siena, and F. Illuminati, “Realistic continuous-variable quantum teleportation with non-Gaussian resources,” Phys. Rev. A81, 012333 (2010).

[CrossRef]

F. Dell’Anno, S. De Siena, L. Albano, and F. Illuminati, “Continuous-variable quantum teleportation with non-Gaussian resources,” Phys. Rev. A76, 022301 (2007).

[CrossRef]

A. Gilchrist, P. Deuar, and M. D. Reid, “Contradiction of quantum mechanics with local hidden variables for quadrature phase amplitude measurements,” Phys. Rev. Lett.80, 3169–3172 (1998).

[CrossRef]

A. Tipsmark, R. Dong, A. Laghaout, P. Marek, M. Jezek, and U. L. Andersen, “Experimental demonstration of a Hadamard gate for coherent state qubits,” Phys. Rev. A84, 050301(R) (2011).

[CrossRef]

R. Dong, J. Heersink, J. F. Corney, P. D. Drummond, U. L. Andersen, and G. Leuchs, “Experimental evidence for Raman-induced limits to efficient squeezing in optical fibers,” Opt. Lett.33, 116–118 (2008).

[CrossRef]
[PubMed]

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M. J. Fitch, B. C. Jacobs, T. B. Pittman, and J. D. Franson, “Photon-number resolution using time-multiplexed single-photon detectors,” Phys. Rev. A68, 043814 (2003).

[CrossRef]

A. Zavatta, J. Fiurasek, and M. Bellini, “A high-fidelity noiseless amplifier for quantum light states,” Nat. Photonics5, 52 (2011)

[CrossRef]

B. Julsgarrd, J. Sherson, J. I. Cirac, J. Fiurasek, and E. S. Polzik, “Experimental demonstration of quantum memory for light,” Nature432, 482–486 (2004).

[CrossRef]

R. García-Patrón, J. Fiurášek, N. J. Cerf, J. Wenger, R. Tualle-Brouri, and P. Grangier, “Proposal for a loophole-free Bell test using homodyne detection,” Phys. Rev. Lett.93, 130409 (2004).

[CrossRef]
[PubMed]

M. J. Fitch, B. C. Jacobs, T. B. Pittman, and J. D. Franson, “Photon-number resolution using time-multiplexed single-photon detectors,” Phys. Rev. A68, 043814 (2003).

[CrossRef]

S. Takeda, H. Benichi, T. Mizuta, N. Lee, J. Yoshikawa, and A. Furusawa, “Quantum mode filtering of non-Gaussian states for teleportation-based quantum information processing,” arXiv:1202.2418.

A. Gábris and G. S. Agarwal, “Quantuem teleportation with pair-coherent states,” Int. J. Quantum Inf.5, 305–309 (2007).

[CrossRef]

R. García-Patrón, J. Fiurášek, N. J. Cerf, J. Wenger, R. Tualle-Brouri, and P. Grangier, “Proposal for a loophole-free Bell test using homodyne detection,” Phys. Rev. Lett.93, 130409 (2004).

[CrossRef]
[PubMed]

C. Weedbrook, S. Pirandola, R. García-Patrón, N. J. Cerf, T. C. Ralph, J. H. Shapiro, and S. Lloyd, “Gaussian quantum information,” arXiv:1110.3234 [quant-ph] (2011).

G. Brida, M. Genovese, M. Gramegna, M. G. A. Paris, E. Predazzi, and E. Cagliero, “On the reconstruction of diagonal elements of density matrix of quantum optical states by on/off detectors,” Open Syst. Inf. Dyn.13, 333–341 (2006).

[CrossRef]

M. Genovese, “Research on hidden variable theories: a review of recent progresses,” Phys. Rep.413, 319–396. (2005).

[CrossRef]

C. C. Gerry, J. Mimih, and R. Birrittella, “State-projective scheme for generating pair coherent states in traveling-wave optical fields,” Phys. Rev. A84, 023810 (2011).

[CrossRef]

C. C. Gerry and J. Mimih, “Heisenberg-limited interferometry with pair coherent states and parity measurements,” Phys. Rev. A82, 013831 (2010).

[CrossRef]

A. Gilchrist, P. Deuar, and M. D. Reid, “Contradiction of quantum mechanics with local hidden variables for quadrature phase amplitude measurements,” Phys. Rev. Lett.80, 3169–3172 (1998).

[CrossRef]

M. Allegra, P. Giorda, and M. G. A. Paris, “Decoherence of Gaussian and nonGaussian photon-number entangled states in a noisy channel,” Int. J. Quant. Inf.9, 27–38 (2011).

[CrossRef]

M. Allegra, P. Giorda, and M. G. A. Paris, “Role of initial entanglement and non-Gaussianity in the decoherence of photon-number entangled states evolving in a noisy channel,” Phys. Rev. Lett.105, 100503 (2010).

[CrossRef]
[PubMed]

G. Brida, M. Genovese, M. Gramegna, M. G. A. Paris, E. Predazzi, and E. Cagliero, “On the reconstruction of diagonal elements of density matrix of quantum optical states by on/off detectors,” Open Syst. Inf. Dyn.13, 333–341 (2006).

[CrossRef]

A. Ourjoumtsev, A. Dantan, R. Tualle-Brouri, and P. Grangier, “Increasing entanglement between Gaussian states by coherent photon subtraction,” Phys. Rev. Lett.98, 030502 (2007).

[CrossRef]
[PubMed]

R. García-Patrón, J. Fiurášek, N. J. Cerf, J. Wenger, R. Tualle-Brouri, and P. Grangier, “Proposal for a loophole-free Bell test using homodyne detection,” Phys. Rev. Lett.93, 130409 (2004).

[CrossRef]
[PubMed]

J. Wenger, M. Hafezi, F. Grosshans, R. Tualle-Brouri, and P. Grangier, “Maximal violation of Bell inequalities using continuous-variable measurements,” Phys. Rev. A67, 012105 (2003).

[CrossRef]

J. Wenger, M. Hafezi, F. Grosshans, R. Tualle-Brouri, and P. Grangier, “Maximal violation of Bell inequalities using continuous-variable measurements,” Phys. Rev. A67, 012105 (2003).

[CrossRef]

J. Wenger, M. Hafezi, F. Grosshans, R. Tualle-Brouri, and P. Grangier, “Maximal violation of Bell inequalities using continuous-variable measurements,” Phys. Rev. A67, 012105 (2003).

[CrossRef]

T. Kiesel, W. Vogel, and B. Hage, “Entangled qubits in a non-Gaussian quantum state,” Phys. Rev. A83, 062319 (2011).

[CrossRef]

J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett.23, 880–884 (1969).

[CrossRef]

J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett.23, 880–884 (1969).

[CrossRef]

F. Dell’Anno, S. De Siena, and F. Illuminati, “Realistic continuous-variable quantum teleportation with non-Gaussian resources,” Phys. Rev. A81, 012333 (2010).

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A recent experiment achieved a higher-squeezing level ∼6.8dB of a pulsed light at the wavelength λ =1500nm in optical fiber [51]. For a long-distance quantum communication, however, one may require a quantum memory to store the quantum state of light. For this purpose, alkali atoms have been employed with the wavelength range λ ∼800nm, e.g. [52]. Furthermore, the thermal photon noise that can be detrimental to the quantum nature of light usually increases with the wavelength, so we here compare the PNES with the pulsed squeezed light of λ =850nm reported in [49].

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