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Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2020
November 25, 2020 15:30, Moscow, online

Information characteristics of quantum Gaussian measurement channels

A. S. Holevo


https://youtu.be/3F27UkmYvXM

Abstract: In a series of works devoted to multimode Gaussian measurement channels, the fundamental property of the "Gaussian maximizer" is established, on the basis of which the most important information characteristics of such channels are calculated. In [1], the achievable information is obtained for a gauge-invariant Gaussian ensemble of states, which closed the question posed in the early 1970s. In [2], the classical bandwidth of a channel satisfying the "threshold condition" that covers the gauge-invariant case is calculated. In [3], the entropy reduction was found and based on it, the entanglement-assisted capacity for a general-type quantum Gaussian measurement channel was determined.

References
  1. Alexander S. Holevo, “Gaussian maximizers for quantum Gaussian observables and ensembles”, IEEE Transactions on Information Theory, 66:9 (2020), 5634-5641  mathnet  crossref
  2. A. S. Holevo, A. A. Kuznetsova, “Information capacity of continuous variable measurement channel”, J. Phys. A: Math. Theor., 53:17 (2020), 175304, 13 ñ.  mathnet  crossref
  3. A. S. Holevo, A. A. Kuznetsova, “The information capacity of entanglement-assisted continuous variable quantum measurement”, J. Phys. A: Math. Theor., 53:37 (2020), 375307, 17 ñ.  mathnet  crossref


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