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arxiv: quant-ph/0511043 · v1 · submitted 2005-11-04 · 🪐 quant-ph

On the Sufficient Optimality Condition for Quantum Information Processing

classification 🪐 quant-ph
keywords conditionsinformationoptimalityquantumsufficientamplitudesannihilationbayesian
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The necessary and sufficient conditions of optimality of the decoding of quantum signals minimizing the Bayesian risk are generalized for the Shannon mutual information criteria. It is shown that for a linear channel with Gaussian boson noise these conditions are satisfied by coherent quasi-measurement of the canonical annihilation amplitudes in the received superposition.

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