Gaussian capacity of the quantum bosonic memory channel with additive correlated Gaussian noise

Journal Article · Thu Sep 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.032318· OSTI ID:22068663

Schaefer, Joachim; Karpov, Evgueni; Cerf, Nicolas J ^[1]

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1. QuIC, Ecole Polytechnique, C.P. 165, Universite Libre de Bruxelles, B-1050 Brussels (Belgium)

We present an algorithm for calculation of the Gaussian classical capacity of a quantum bosonic memory channel with additive Gaussian noise. The algorithm, restricted to Gaussian input states, is applicable to all channels with noise correlations obeying certain conditions and works in the full input energy domain, beyond previous treatments of this problem. As an illustration, we study the optimal input states and capacity of a quantum memory channel with Gauss-Markov noise [J. Schaefer, Phys. Rev. A 80, 062313 (2009)]. We evaluate the enhancement of the transmission rate when using these optimal entangled input states by comparison with a product coherent-state encoding and find out that such a simple coherent-state encoding achieves not less than 90% of the capacity.

• OSTI ID: 22068663
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ALGORITHMS
ANNIHILATION OPERATORS
CAPACITY
CORRELATIONS
EIGENSTATES
MARKOV PROCESS
NOISE
QUANTUM ENTANGLEMENT
TRANSMISSION