V. Giovannetti, R. García-Patrón, N. J. Cerf, and A. S. Holevo, “Ultimate communication capacity of quantum optical channels by solving the Gaussian minimum-entropy conjecture,” Nature Photon. 8(10), 796–800 (2014).

[Crossref]

C. Antonelli, A. Mecozzi, M. Shtaif, and P. J. Winzer, “Quantum limits on the energy consumption of optical transmission systems,” J. Lightw. Technol. 32(10), 1853–1860 (2014).

[Crossref]

Y. Kochman, L. Wang, and G. W. Wornell, “Toward photon-efficient key distribution over optical channels,” IEEE Trans. Inf. Theory 60(8), 4958–4972 (2014).

[Crossref]

M. Jarzyna, K. Banaszek, and R. Demkowicz-Dobrzański, “Dephasing in coherent communication with weak signal states,” J. Phys. A : Math. Theor. 47(27), 275302 (2014).

[Crossref]

M. Takeoka and S. Guha, “Capacity of optical communication in loss and noise with general quantum Gaussian receivers,” Phys. Rev. A 89(4), 042309 (2014).

[Crossref]

S. Olivares, S. Cialdi, F. Castelli, and M. G. A. Paris, “Homodyne detection as a near-optimum receiver for phase-shift-keyed binary communication in the presence of phase diffusion,” Phys. Rev. A 87(5), 050303(R) (2013).

[Crossref]

W. Schmunk and et al., “Photon number statistics of NV centre emission,” Metrologia 49(2), S156–S160 (2012).

[Crossref]

J. Chen, J. L. Habif, Z. Dutton, R. Lazarus, and S. Guha, “Optical codeword demodulation with error rates below the standard quantum limit using a conditional nulling receiver,” Nature Photon. 6(6), 374–379 (2012).

[Crossref]

A. Waseda, M. Sasaki, M. Takeoka, M. Fujiwara, M. Toyoshima, and A. Assalini, “Numerical evaluation of PPM for deep-space links,” J. Opt. Commun. Netw. 3(6), 514–521 (2011).

[Crossref]

S. Guha, J. L. Habif, and M. Takeoka, “Approaching Helstrom limits to optical pulse-position demodulation using single photon detection and optical feedback,” J. Mod. Opt. 58(3–4), 257–265 (2011).

[Crossref]

J. H Shapiro, “The quantum theory of optical communications,” IEEE J. Sel. Topics Quantum Electron. 15(6), 1547–1569 (2009).

[Crossref]

V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, and H. P. Yuen, “Classical capacity of the lossy bosonic channel: the exact solution,” Phys. Rev. Lett. 92(2), 027902 (2004).

[Crossref]
[PubMed]

R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, “On the Lambert W Function,” Adv. Comput. Math. 5(4), 329–359 (1996).

[Crossref]

C. M. Caves and P. D. Drummond, “Quantum limits on bosonic communication rates,” Rev. Mod. Phys. 66(2), 481–537 (1994).

[Crossref]

P. L. Kelley and W. H. Kleiner, “Theory of electromagnetic field measurement and photoelectron counting,” Phys. Rev. 136(2A), A316 (1964).

[Crossref]

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

[Crossref]

C. Antonelli, A. Mecozzi, M. Shtaif, and P. J. Winzer, “Quantum limits on the energy consumption of optical transmission systems,” J. Lightw. Technol. 32(10), 1853–1860 (2014).

[Crossref]

M. Jarzyna, K. Banaszek, and R. Demkowicz-Dobrzański, “Dephasing in coherent communication with weak signal states,” J. Phys. A : Math. Theor. 47(27), 275302 (2014).

[Crossref]

S. Olivares, S. Cialdi, F. Castelli, and M. G. A. Paris, “Homodyne detection as a near-optimum receiver for phase-shift-keyed binary communication in the presence of phase diffusion,” Phys. Rev. A 87(5), 050303(R) (2013).

[Crossref]

C. M. Caves and P. D. Drummond, “Quantum limits on bosonic communication rates,” Rev. Mod. Phys. 66(2), 481–537 (1994).

[Crossref]

V. Giovannetti, R. García-Patrón, N. J. Cerf, and A. S. Holevo, “Ultimate communication capacity of quantum optical channels by solving the Gaussian minimum-entropy conjecture,” Nature Photon. 8(10), 796–800 (2014).

[Crossref]

J. Chen, J. L. Habif, Z. Dutton, R. Lazarus, and S. Guha, “Optical codeword demodulation with error rates below the standard quantum limit using a conditional nulling receiver,” Nature Photon. 6(6), 374–379 (2012).

[Crossref]

S. Olivares, S. Cialdi, F. Castelli, and M. G. A. Paris, “Homodyne detection as a near-optimum receiver for phase-shift-keyed binary communication in the presence of phase diffusion,” Phys. Rev. A 87(5), 050303(R) (2013).

[Crossref]

R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, “On the Lambert W Function,” Adv. Comput. Math. 5(4), 329–359 (1996).

[Crossref]

T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, 2006).

M. Jarzyna, K. Banaszek, and R. Demkowicz-Dobrzański, “Dephasing in coherent communication with weak signal states,” J. Phys. A : Math. Theor. 47(27), 275302 (2014).

[Crossref]

C. M. Caves and P. D. Drummond, “Quantum limits on bosonic communication rates,” Rev. Mod. Phys. 66(2), 481–537 (1994).

[Crossref]

J. Chen, J. L. Habif, Z. Dutton, R. Lazarus, and S. Guha, “Optical codeword demodulation with error rates below the standard quantum limit using a conditional nulling receiver,” Nature Photon. 6(6), 374–379 (2012).

[Crossref]

A. Waseda, M. Sasaki, M. Takeoka, M. Fujiwara, M. Toyoshima, and A. Assalini, “Numerical evaluation of PPM for deep-space links,” J. Opt. Commun. Netw. 3(6), 514–521 (2011).

[Crossref]

K. Tsujino, D. Fukuda, G. Fujii, S. Inoue, M. Fujiwara, M. Takeoka, and M. Sasaki, “Sub-shot-noise-limit discrimination of on-off keyed coherent signals via a quantum receiver with a superconducting transition edge sensor,” Opt. Express 18(8), 8107–8114 (2010).

[Crossref]
[PubMed]

V. Giovannetti, R. García-Patrón, N. J. Cerf, and A. S. Holevo, “Ultimate communication capacity of quantum optical channels by solving the Gaussian minimum-entropy conjecture,” Nature Photon. 8(10), 796–800 (2014).

[Crossref]

V. Giovannetti, R. García-Patrón, N. J. Cerf, and A. S. Holevo, “Ultimate communication capacity of quantum optical channels by solving the Gaussian minimum-entropy conjecture,” Nature Photon. 8(10), 796–800 (2014).

[Crossref]

V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, and H. P. Yuen, “Classical capacity of the lossy bosonic channel: the exact solution,” Phys. Rev. Lett. 92(2), 027902 (2004).

[Crossref]
[PubMed]

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

[Crossref]

R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, “On the Lambert W Function,” Adv. Comput. Math. 5(4), 329–359 (1996).

[Crossref]

M. Takeoka and S. Guha, “Capacity of optical communication in loss and noise with general quantum Gaussian receivers,” Phys. Rev. A 89(4), 042309 (2014).

[Crossref]

J. Chen, J. L. Habif, Z. Dutton, R. Lazarus, and S. Guha, “Optical codeword demodulation with error rates below the standard quantum limit using a conditional nulling receiver,” Nature Photon. 6(6), 374–379 (2012).

[Crossref]

S. Guha, J. L. Habif, and M. Takeoka, “Approaching Helstrom limits to optical pulse-position demodulation using single photon detection and optical feedback,” J. Mod. Opt. 58(3–4), 257–265 (2011).

[Crossref]

V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, and H. P. Yuen, “Classical capacity of the lossy bosonic channel: the exact solution,” Phys. Rev. Lett. 92(2), 027902 (2004).

[Crossref]
[PubMed]

J. Chen, J. L. Habif, Z. Dutton, R. Lazarus, and S. Guha, “Optical codeword demodulation with error rates below the standard quantum limit using a conditional nulling receiver,” Nature Photon. 6(6), 374–379 (2012).

[Crossref]

S. Guha, J. L. Habif, and M. Takeoka, “Approaching Helstrom limits to optical pulse-position demodulation using single photon detection and optical feedback,” J. Mod. Opt. 58(3–4), 257–265 (2011).

[Crossref]

R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, “On the Lambert W Function,” Adv. Comput. Math. 5(4), 329–359 (1996).

[Crossref]

V. Giovannetti, R. García-Patrón, N. J. Cerf, and A. S. Holevo, “Ultimate communication capacity of quantum optical channels by solving the Gaussian minimum-entropy conjecture,” Nature Photon. 8(10), 796–800 (2014).

[Crossref]

M. Jarzyna, K. Banaszek, and R. Demkowicz-Dobrzański, “Dephasing in coherent communication with weak signal states,” J. Phys. A : Math. Theor. 47(27), 275302 (2014).

[Crossref]

R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, “On the Lambert W Function,” Adv. Comput. Math. 5(4), 329–359 (1996).

[Crossref]

P. L. Kelley and W. H. Kleiner, “Theory of electromagnetic field measurement and photoelectron counting,” Phys. Rev. 136(2A), A316 (1964).

[Crossref]

P. L. Kelley and W. H. Kleiner, “Theory of electromagnetic field measurement and photoelectron counting,” Phys. Rev. 136(2A), A316 (1964).

[Crossref]

R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, “On the Lambert W Function,” Adv. Comput. Math. 5(4), 329–359 (1996).

[Crossref]

Y. Kochman, L. Wang, and G. W. Wornell, “Toward photon-efficient key distribution over optical channels,” IEEE Trans. Inf. Theory 60(8), 4958–4972 (2014).

[Crossref]

J. Chen, J. L. Habif, Z. Dutton, R. Lazarus, and S. Guha, “Optical codeword demodulation with error rates below the standard quantum limit using a conditional nulling receiver,” Nature Photon. 6(6), 374–379 (2012).

[Crossref]

V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, and H. P. Yuen, “Classical capacity of the lossy bosonic channel: the exact solution,” Phys. Rev. Lett. 92(2), 027902 (2004).

[Crossref]
[PubMed]

V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, and H. P. Yuen, “Classical capacity of the lossy bosonic channel: the exact solution,” Phys. Rev. Lett. 92(2), 027902 (2004).

[Crossref]
[PubMed]

C. Antonelli, A. Mecozzi, M. Shtaif, and P. J. Winzer, “Quantum limits on the energy consumption of optical transmission systems,” J. Lightw. Technol. 32(10), 1853–1860 (2014).

[Crossref]

S. Olivares, S. Cialdi, F. Castelli, and M. G. A. Paris, “Homodyne detection as a near-optimum receiver for phase-shift-keyed binary communication in the presence of phase diffusion,” Phys. Rev. A 87(5), 050303(R) (2013).

[Crossref]

S. Olivares, S. Cialdi, F. Castelli, and M. G. A. Paris, “Homodyne detection as a near-optimum receiver for phase-shift-keyed binary communication in the presence of phase diffusion,” Phys. Rev. A 87(5), 050303(R) (2013).

[Crossref]

A. Waseda, M. Sasaki, M. Takeoka, M. Fujiwara, M. Toyoshima, and A. Assalini, “Numerical evaluation of PPM for deep-space links,” J. Opt. Commun. Netw. 3(6), 514–521 (2011).

[Crossref]

K. Tsujino, D. Fukuda, G. Fujii, S. Inoue, M. Fujiwara, M. Takeoka, and M. Sasaki, “Sub-shot-noise-limit discrimination of on-off keyed coherent signals via a quantum receiver with a superconducting transition edge sensor,” Opt. Express 18(8), 8107–8114 (2010).

[Crossref]
[PubMed]

W. Schmunk and et al., “Photon number statistics of NV centre emission,” Metrologia 49(2), S156–S160 (2012).

[Crossref]

J. H Shapiro, “The quantum theory of optical communications,” IEEE J. Sel. Topics Quantum Electron. 15(6), 1547–1569 (2009).

[Crossref]

V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, and H. P. Yuen, “Classical capacity of the lossy bosonic channel: the exact solution,” Phys. Rev. Lett. 92(2), 027902 (2004).

[Crossref]
[PubMed]

C. Antonelli, A. Mecozzi, M. Shtaif, and P. J. Winzer, “Quantum limits on the energy consumption of optical transmission systems,” J. Lightw. Technol. 32(10), 1853–1860 (2014).

[Crossref]

M. Takeoka and S. Guha, “Capacity of optical communication in loss and noise with general quantum Gaussian receivers,” Phys. Rev. A 89(4), 042309 (2014).

[Crossref]

A. Waseda, M. Sasaki, M. Takeoka, M. Fujiwara, M. Toyoshima, and A. Assalini, “Numerical evaluation of PPM for deep-space links,” J. Opt. Commun. Netw. 3(6), 514–521 (2011).

[Crossref]

S. Guha, J. L. Habif, and M. Takeoka, “Approaching Helstrom limits to optical pulse-position demodulation using single photon detection and optical feedback,” J. Mod. Opt. 58(3–4), 257–265 (2011).

[Crossref]

K. Tsujino, D. Fukuda, G. Fujii, S. Inoue, M. Fujiwara, M. Takeoka, and M. Sasaki, “Sub-shot-noise-limit discrimination of on-off keyed coherent signals via a quantum receiver with a superconducting transition edge sensor,” Opt. Express 18(8), 8107–8114 (2010).

[Crossref]
[PubMed]

T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, 2006).

Y. Kochman, L. Wang, and G. W. Wornell, “Toward photon-efficient key distribution over optical channels,” IEEE Trans. Inf. Theory 60(8), 4958–4972 (2014).

[Crossref]

C. Antonelli, A. Mecozzi, M. Shtaif, and P. J. Winzer, “Quantum limits on the energy consumption of optical transmission systems,” J. Lightw. Technol. 32(10), 1853–1860 (2014).

[Crossref]

Y. Kochman, L. Wang, and G. W. Wornell, “Toward photon-efficient key distribution over optical channels,” IEEE Trans. Inf. Theory 60(8), 4958–4972 (2014).

[Crossref]

V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, and H. P. Yuen, “Classical capacity of the lossy bosonic channel: the exact solution,” Phys. Rev. Lett. 92(2), 027902 (2004).

[Crossref]
[PubMed]

R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, “On the Lambert W Function,” Adv. Comput. Math. 5(4), 329–359 (1996).

[Crossref]

J. H Shapiro, “The quantum theory of optical communications,” IEEE J. Sel. Topics Quantum Electron. 15(6), 1547–1569 (2009).

[Crossref]

Y. Kochman, L. Wang, and G. W. Wornell, “Toward photon-efficient key distribution over optical channels,” IEEE Trans. Inf. Theory 60(8), 4958–4972 (2014).

[Crossref]

C. Antonelli, A. Mecozzi, M. Shtaif, and P. J. Winzer, “Quantum limits on the energy consumption of optical transmission systems,” J. Lightw. Technol. 32(10), 1853–1860 (2014).

[Crossref]

S. Guha, J. L. Habif, and M. Takeoka, “Approaching Helstrom limits to optical pulse-position demodulation using single photon detection and optical feedback,” J. Mod. Opt. 58(3–4), 257–265 (2011).

[Crossref]

M. Jarzyna, K. Banaszek, and R. Demkowicz-Dobrzański, “Dephasing in coherent communication with weak signal states,” J. Phys. A : Math. Theor. 47(27), 275302 (2014).

[Crossref]

W. Schmunk and et al., “Photon number statistics of NV centre emission,” Metrologia 49(2), S156–S160 (2012).

[Crossref]

J. Chen, J. L. Habif, Z. Dutton, R. Lazarus, and S. Guha, “Optical codeword demodulation with error rates below the standard quantum limit using a conditional nulling receiver,” Nature Photon. 6(6), 374–379 (2012).

[Crossref]

V. Giovannetti, R. García-Patrón, N. J. Cerf, and A. S. Holevo, “Ultimate communication capacity of quantum optical channels by solving the Gaussian minimum-entropy conjecture,” Nature Photon. 8(10), 796–800 (2014).

[Crossref]

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

[Crossref]

P. L. Kelley and W. H. Kleiner, “Theory of electromagnetic field measurement and photoelectron counting,” Phys. Rev. 136(2A), A316 (1964).

[Crossref]

S. Olivares, S. Cialdi, F. Castelli, and M. G. A. Paris, “Homodyne detection as a near-optimum receiver for phase-shift-keyed binary communication in the presence of phase diffusion,” Phys. Rev. A 87(5), 050303(R) (2013).

[Crossref]

M. Takeoka and S. Guha, “Capacity of optical communication in loss and noise with general quantum Gaussian receivers,” Phys. Rev. A 89(4), 042309 (2014).

[Crossref]

V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, and H. P. Yuen, “Classical capacity of the lossy bosonic channel: the exact solution,” Phys. Rev. Lett. 92(2), 027902 (2004).

[Crossref]
[PubMed]

C. M. Caves and P. D. Drummond, “Quantum limits on bosonic communication rates,” Rev. Mod. Phys. 66(2), 481–537 (1994).

[Crossref]

T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, 2006).