Noisy quantum phase communication channels

We address quantum phase channels, i.e communication schemes where information is encoded in the phase-shift imposed to a given signal, and analyze their performances in the presence of phase diffusion. We evaluate mutual information for coherent and phase-coherent signals, and for both ideal and realistic phase receivers. We show that coherent signals offer better performances than phase-coherent ones, and that realistic phase channels are effective ones in the relevant regime of low energy and large alphabets.

[1]  C. Caves,et al.  Quantum limits on bosonic communication rates , 1994 .

[2]  Marco G. Genoni,et al.  Optical interferometry in the presence of large phase diffusion , 2012, 1203.2956.

[3]  Saikat Guha,et al.  Ultimate channel capacity of free-space optical communications (Invited) , 2005 .

[4]  R. Werner,et al.  Evaluating capacities of bosonic Gaussian channels , 1999, quant-ph/9912067.

[5]  Paul,et al.  Canonical and measured phase distributions. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[6]  Matteo G. A. Paris,et al.  Homodyne detection as a near-optimum receiver for phase-shift-keyed binary communication in the presence of phase diffusion , 2013, 1305.4201.

[7]  M. Paris.  Canonical quantum phase variable , 1996 .

[8]  S. Lloyd,et al.  Classical capacity of the lossy bosonic channel: the exact solution. , 2003, Physical review letters.

[9]  Leonard Susskind,et al.  Quantum mechanical phase and time operator , 1964 .

[10]  Paul,et al.  Realistic optical homodyne measurements and quasiprobability distributions. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[11]  D'Ariano,et al.  Necessity of sine-cosine joint measurement. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[12]  L. Ioffe,et al.  Physical implementation of protected qubits , 2012, Reports on progress in physics. Physical Society.

[13]  Wiseman,et al.  Adaptive phase measurements of optical modes: Going beyond the marginal Q distribution. , 1995, Physical review letters.

[14]  Matteo G. A. Paris,et al.  Generation of phase-coherent states , 1998 .

[15]  M. Paris,et al.  Quantum binary channels with mixed states , 2008 .

[16]  Sampling canonical phase distribution , 1999 .

[17]  D. Lalović,et al.  QUANTUM PHASE FROM THE GLAUBER MODEL OF LINEAR PHASE AMPLIFIERS , 1998 .

[18]  Shapiro,et al.  Ultimate quantum limits on phase measurement. , 1989, Physical review letters.

[19]  G. D’Ariano,et al.  Lower bounds on phase sensitivity in ideal and feasible measurements. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[20]  Royer.  Phase states and phase operators for the quantum harmonic oscillator. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[21]  Quantum state measurement by realistic heterodyne detection. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[22]  M. Paris,et al.  Balancing efficiencies by squeezing in realistic eight-port homodyne detection , 2010, 1012.2794.

[23]  S. Lloyd,et al.  Minimum output entropy of bosonic channels: A conjecture , 2004, quant-ph/0404005.

[24]  Yuen,et al.  Quantum phase amplification. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[25]  Stefano Olivares,et al.  Optical phase estimation in the presence of phase diffusion. , 2010, Physical review letters.