Capacity of a bosonic memory channel with Gauss-Markov noise
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Schafer-2009-capacity of a bosonic.pdf
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Author(s)
Schafer, Joachim
Daems, David
Karpov, Evgueni
Cerf, Nicolas J.
Date Issued
December 2009
Journal
Physical Review A
Publisher
American Physical Society
Citation
Schäfer, Joachim et al. “Capacity of a Bosonic Memory Channel with Gauss-Markov Noise.” Physical Review A 80.6 (2009) : 062313. © 2009 The American Physical Society
Version
Final published version
Abstract
We address the classical capacity of a quantum bosonic memory channel with additive noise, subject to an input energy constraint. The memory is modeled by correlated noise emerging from a Gauss-Markov process. Under reasonable assumptions, we show that the optimal modulation results from a “quantum water-filling” solution above a certain input energy threshold, similar to the optimal modulation for parallel classical Gaussian channels. We also derive analytically the optimal multimode input state above this threshold, which enables us to compute the capacity of this memory channel in the limit of an infinite number of modes. The method can also be applied to a more general noise environment which is constructed by a stationary Gauss process. The extension of our results to the case of broadband bosonic channels with colored Gaussian noise should also be straightforward.
MIT Department
Massachusetts Institute of Technology. Research Laboratory of Electronics
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.80.062313
