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Additivity properties of a Gaussian channel. (English) Zbl 1232.81013

Summary: The Amosov-Holevo-Werner conjecture implies the additivity of the minimum Rényi entropies at the output of a channel. The conjecture is proven true for all Rényi entropies of integer order greater than two in a class of Gaussian bosonic channels where the input signal is randomly displaced or where it is coupled linearly to an external environment.

MSC:

81P94 Quantum cryptography (quantum-theoretic aspects)
94A40 Channel models (including quantum) in information and communication theory
81P15 Quantum measurement theory, state operations, state preparations
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