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Quantum Information Processing

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01-03-2021

Maximum information gain of approximate quantum position measurement

Authors: A. S. Holevo, V. I. Yashin

Published in: Quantum Information Processing | Issue 3/2021

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Abstract

We perform a quantum information analysis for multi-mode Gaussian approximate position measurements, underlying noisy homodyning in quantum optics. The “Gaussian maximizer” property is established for the entropy reduction of these measurements which provides explicit formulas for computations of their maximum information gain or entanglement-assisted capacity. The case of one mode is discussed in detail.

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We denote \(\mathrm {Sp}\) trace of matrices as distinct from the trace of operators in \({\mathcal {H}}\) and \(I_{2s}\) the unit \(2s\times 2s\)-matrix.

We denote by \(I_{s}\) the unit \(s\times s-\)matrix.

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Title: Maximum information gain of approximate quantum position measurement
Authors: A. S. Holevo
V. I. Yashin
Publication date: 01-03-2021
Publisher: Springer US
Published in: Quantum Information Processing / Issue 3/2021
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-021-03046-8

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