Manipulating the non-Gaussianity of phase-randomized coherent states

doi:10.1364/OE.20.024850

Manipulating the non-Gaussianity of phase-randomized coherent states

Alessia Allevi, Stefano Olivares, and Maria Bondani »View Author Affiliations

Optics Express, Vol. 20, Issue 22, pp. 24850-24855 (2012)
http://dx.doi.org/10.1364/OE.20.024850

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Abstract

We experimentally investigate the non-Gaussian features of the phase-randomized coherent states, a class of states exploited in communication channels and in decoy state-based quantum key distribution protocols. In particular, we reconstruct their phase-insensitive Wigner functions and quantify their non-Gaussianity. The measurements are performed in the mesoscopic photon-number domain by means of a direct detection scheme involving linear detectors.

OCIS Codes
(230.5160) Optical devices : Photodetectors
(270.0270) Quantum optics : Quantum optics
(270.5290) Quantum optics : Photon statistics

ToC Category:
Quantum Optics

History
Original Manuscript: July 20, 2012
Revised Manuscript: September 4, 2012
Manuscript Accepted: September 6, 2012
Published: October 16, 2012

Citation
Alessia Allevi, Stefano Olivares, and Maria Bondani, "Manipulating the non-Gaussianity of phase-randomized coherent states," Opt. Express 20, 24850-24855 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-22-24850

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References

H.-K. Lo, X. Ma, and K. Chen, “Decoy state quantum key distribution,” Phys. Rev. Lett.94, 230504 (2005). [CrossRef] [PubMed]
Y. Zhao, B. Qi, and H.-K. Lo, “Experimental quantum key distribution with active phase randomization,” Appl. Phys. Lett.90, 044106 (2007). [CrossRef]
H. Inamori, N. Lütkenhaus, and D. Mayers, “Unconditional security of practical quantum key distribution,” Eur. Phys. J. D41, 599–627 (2007). [CrossRef]
H.-K. Lo and J. Preskill, “Phase randomization improves the security of quantum key distribution,” CALT-68-2556 (2005), arXiv:quant-ph/0504209v1.
M. Curty, X. Ma, B. Qi, and T. Moroder, “Passive decoy-state quantum key distribution with practical light sources,” Phys. Rev. A81, 022310 (2010). [CrossRef]
S. Olivares, “Quantum optics in the phase space,” Eur. Phys. J. Special Topics203, 3–24 (2012). [CrossRef]
M. Curty, T. Moroder, X. Ma, and N. Lütkenhaus, “Non-Poissonian statistics from Poissonian light sources with application to passive decoy state quantum key distribution,” Opt. Lett.34, 3238–3240 (2009). [CrossRef] [PubMed]
A. I. Lvovsky and M. G. Raymer, “Continuous-variable optical quantum-state tomography,” Rev. Mod. Phys.81, 299–332 (2009). [CrossRef]
K. E. Cahill and R. J. Glauber, “Density operators and quasiprobability distributions,” Phys. Rev.177, 1882–1902 (1969). [CrossRef]
S. Wallentowitz and W. Vogel, “Unbalanced homodyning for quantum state measurements,” Phys. Rev. A53, 4528–4533 (1996). [CrossRef] [PubMed]
K. Banaszek and K. Wódkiewicz, “Direct probing of quantum phase space by photon counting,” Phys. Rev. Lett.76, 4344–4347 (1996). [CrossRef] [PubMed]
G. Zambra, A. Allevi, M. Bondani, A. Andreoni, and M. G. A. Paris, “Nontrivial photon statistics with low resolution-threshold photon counters,” Int. J. Quantum Inf.5, 305–309 (2007). [CrossRef]
M. G. Genoni and M. G. A. Paris, “Quantifying non-Gaussianity for quantum information,” Phys. Rev. A82, 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. A78, 060303(R) (2008). [CrossRef]
M. Bondani, A. Allevi, and A. Andreoni, “Wigner function of pulsed fields by direct detection,” Opt. Lett.34, 1444–1446 (2009). [CrossRef] [PubMed]
M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, “Self-consistent characterization of light statistics,” J. Mod. Opt.56, 226–231 (2009). [CrossRef]
A. Andreoni and M. Bondani, “Photon statistics in the macroscopic realm measured without photon counters,” Phys. Rev. A80, 013819 (2009). [CrossRef]
A. Allevi, A. Andreoni, M. Bondani, M. G. Genoni, and S. Olivares, “Reliable source of conditional states from single-mode pulsed thermal fields by multiple-photon subtraction,” Phys. Rev. A82, 013816 (2010). [CrossRef]

Agliati, A.
Allevi, A.
Andreoni, A.
Banaszek, K.
Bondani, M.
Cahill, K. E.
Chen, K.
Curty, M.
Genoni, M. G.
Glauber, R. J.
Inamori, H.
Lo, H.-K.
Lütkenhaus, N.
Lvovsky, A. I.
Ma, X.
Mayers, D.
Moroder, T.
Olivares, S.
Paris, M. G. A.
Preskill, J.
Qi, B.
Raymer, M. G.
Vogel, W.
Wallentowitz, S.
Wódkiewicz, K.
Zambra, G.
Zhao, Y.

Appl. Phys. Lett.

Y. Zhao, B. Qi, and H.-K. Lo, “Experimental quantum key distribution with active phase randomization,” Appl. Phys. Lett.90, 044106 (2007). [CrossRef]

Eur. Phys. J. D

H. Inamori, N. Lütkenhaus, and D. Mayers, “Unconditional security of practical quantum key distribution,” Eur. Phys. J. D41, 599–627 (2007). [CrossRef]

Eur. Phys. J. Special Topics

S. Olivares, “Quantum optics in the phase space,” Eur. Phys. J. Special Topics203, 3–24 (2012). [CrossRef]

Int. J. Quantum Inf.

G. Zambra, A. Allevi, M. Bondani, A. Andreoni, and M. G. A. Paris, “Nontrivial photon statistics with low resolution-threshold photon counters,” Int. J. Quantum Inf.5, 305–309 (2007). [CrossRef]

J. Mod. Opt.

M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, “Self-consistent characterization of light statistics,” J. Mod. Opt.56, 226–231 (2009). [CrossRef]

Opt. Lett.

Phys. Rev.

K. E. Cahill and R. J. Glauber, “Density operators and quasiprobability distributions,” Phys. Rev.177, 1882–1902 (1969). [CrossRef]

Phys. Rev. A

S. Wallentowitz and W. Vogel, “Unbalanced homodyning for quantum state measurements,” Phys. Rev. A53, 4528–4533 (1996). [CrossRef] [PubMed]
M. Curty, X. Ma, B. Qi, and T. Moroder, “Passive decoy-state quantum key distribution with practical light sources,” Phys. Rev. A81, 022310 (2010). [CrossRef]
A. Andreoni and M. Bondani, “Photon statistics in the macroscopic realm measured without photon counters,” Phys. Rev. A80, 013819 (2009). [CrossRef]
A. Allevi, A. Andreoni, M. Bondani, M. G. Genoni, and S. Olivares, “Reliable source of conditional states from single-mode pulsed thermal fields by multiple-photon subtraction,” Phys. Rev. A82, 013816 (2010). [CrossRef]
M. G. Genoni and M. G. A. Paris, “Quantifying non-Gaussianity for quantum information,” Phys. Rev. A82, 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. A78, 060303(R) (2008). [CrossRef]

Phys. Rev. Lett.

H.-K. Lo, X. Ma, and K. Chen, “Decoy state quantum key distribution,” Phys. Rev. Lett.94, 230504 (2005). [CrossRef] [PubMed]
K. Banaszek and K. Wódkiewicz, “Direct probing of quantum phase space by photon counting,” Phys. Rev. Lett.76, 4344–4347 (1996). [CrossRef] [PubMed]

Rev. Mod. Phys.

A. I. Lvovsky and M. G. Raymer, “Continuous-variable optical quantum-state tomography,” Rev. Mod. Phys.81, 299–332 (2009). [CrossRef]

Other

H.-K. Lo and J. Preskill, “Phase randomization improves the security of quantum key distribution,” CALT-68-2556 (2005), arXiv:quant-ph/0504209v1.

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[1] H.-K. Lo, X. Ma, and K. Chen, “Decoy state quantum key distribution,” Phys. Rev. Lett.94, 230504 (2005). [CrossRef] [PubMed]

[2] Y. Zhao, B. Qi, and H.-K. Lo, “Experimental quantum key distribution with active phase randomization,” Appl. Phys. Lett.90, 044106 (2007). [CrossRef]

[3] H. Inamori, N. Lütkenhaus, and D. Mayers, “Unconditional security of practical quantum key distribution,” Eur. Phys. J. D41, 599–627 (2007). [CrossRef]

[4] H.-K. Lo and J. Preskill, “Phase randomization improves the security of quantum key distribution,” CALT-68-2556 (2005), arXiv:quant-ph/0504209v1.

[5] M. Curty, X. Ma, B. Qi, and T. Moroder, “Passive decoy-state quantum key distribution with practical light sources,” Phys. Rev. A81, 022310 (2010). [CrossRef]

[6] S. Olivares, “Quantum optics in the phase space,” Eur. Phys. J. Special Topics203, 3–24 (2012). [CrossRef]

[7] M. Curty, T. Moroder, X. Ma, and N. Lütkenhaus, “Non-Poissonian statistics from Poissonian light sources with application to passive decoy state quantum key distribution,” Opt. Lett.34, 3238–3240 (2009). [CrossRef] [PubMed]

[8] A. I. Lvovsky and M. G. Raymer, “Continuous-variable optical quantum-state tomography,” Rev. Mod. Phys.81, 299–332 (2009). [CrossRef]

[9] K. E. Cahill and R. J. Glauber, “Density operators and quasiprobability distributions,” Phys. Rev.177, 1882–1902 (1969). [CrossRef]

[10] S. Wallentowitz and W. Vogel, “Unbalanced homodyning for quantum state measurements,” Phys. Rev. A53, 4528–4533 (1996). [CrossRef] [PubMed]

[11] K. Banaszek and K. Wódkiewicz, “Direct probing of quantum phase space by photon counting,” Phys. Rev. Lett.76, 4344–4347 (1996). [CrossRef] [PubMed]

[12] G. Zambra, A. Allevi, M. Bondani, A. Andreoni, and M. G. A. Paris, “Nontrivial photon statistics with low resolution-threshold photon counters,” Int. J. Quantum Inf.5, 305–309 (2007). [CrossRef]

[13] M. G. Genoni and M. G. A. Paris, “Quantifying non-Gaussianity for quantum information,” Phys. Rev. A82, 052341 (2010). [CrossRef]

[14] 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. A78, 060303(R) (2008). [CrossRef]

[15] M. Bondani, A. Allevi, and A. Andreoni, “Wigner function of pulsed fields by direct detection,” Opt. Lett.34, 1444–1446 (2009). [CrossRef] [PubMed]

[16] M. Bondani, A. Allevi, A. Agliati, and A. Andreoni, “Self-consistent characterization of light statistics,” J. Mod. Opt.56, 226–231 (2009). [CrossRef]

[17] A. Andreoni and M. Bondani, “Photon statistics in the macroscopic realm measured without photon counters,” Phys. Rev. A80, 013819 (2009). [CrossRef]

[18] A. Allevi, A. Andreoni, M. Bondani, M. G. Genoni, and S. Olivares, “Reliable source of conditional states from single-mode pulsed thermal fields by multiple-photon subtraction,” Phys. Rev. A82, 013816 (2010). [CrossRef]

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Manipulating the non-Gaussianity of phase-randomized coherent states

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Abstract

References

Appl. Phys. Lett.

Eur. Phys. J. D

Eur. Phys. J. Special Topics

Int. J. Quantum Inf.

J. Mod. Opt.

Opt. Lett.

Phys. Rev.

Phys. Rev. A

Phys. Rev. Lett.

Rev. Mod. Phys.

Other

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