Extreme bosonic linear channels. (English. Russian original) Zbl 1287.81034
Theor. Math. Phys. 174, No. 2, 288-297 (2013); translation from Teor. Mat. Fiz. 174, No. 2, 331-341 (2013).
In this work the author proves a necessary and sufficient condition for a quantum channel to be an extreme point of the convex set of channels with a fixed input and output, the result being stated in terms of the associated complementary channel. Also a main result proved is that the extremality of a bosonic Gaussian channel is equivalent to a minimum noise condition.
Reviewer: Carlos F. Lardizabal (Porto Alegre)
MSC:
| 81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |
| 94A40 | Channel models (including quantum) in information and communication theory |
| 94A15 | Information theory (general) |
Keywords:
quantum information theory; bosonic linear channel; Gaussian channel; extremal channel; minimum noiseReferences:
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