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International Journal of Quantum Information

MINIMUM OUTPUT ENTROPY OF A GAUSSIAN BOSONIC CHANNEL

Vittorio Giovannetti, Lorenzo Maccone, Saikat Guha, Seth Lloyd, Jeffrey H. Shapiro, Brent J. Yen

Published Dec 17, 2004• 1 citation
Publisher

Abstract

The entropy at the output of a Bosonic channel is analyzed when coherent fields are randomly added to the signal. Coherent-state inputs are conjectured to provide the minimum output entropy. Supporting physical and mathematical evidence is provided.
DOI
10.1142/s0219749905000657

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We show that when coherent-state encoding is employed in conjunction with coherent detection, the Bosonic broadcast channel is equivalent to a classical degraded Gaussian broadcast channel whose capacity region is dual to that of the classical Gaussian multiple-access channel. We further show that if a minimum output-entropy conjecture holds true, then the ultimate classical information capacity of the Bosonic broadcast channel can be achieved by a coherent-state encoding. We provide some evidence in support of the conjecture.
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