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

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

2010-11-18

arxiv.org/abs/1011.4118v2

Phys. Rev. A 84, 032318 (2011)

Physics

Quantum Physics

12+6 pages, 9 figures. Errors corrected, figures were made clearer, appendix improved and extended

Scientific paper

10.1103/PhysRevA.84.032318

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. Sch\"afer, 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.

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