Information capacity of a quantum observable

Information capacity of a quantum observable In this paper we consider the classical capacities of quantum-classical channels corresponding to measurement of observables. Special attention is paid to the case of continuous observables. We give formulas for unassisted and entanglement-assisted classical capacities C and C ea and consider some explicitly solvable cases, which give simple examples of entanglement-breaking channels with C < C ea. We also elaborate on the ensemble-observable duality to show that C ea for the measurement channel is related to the χ-quantity for the dual ensemble in the same way as C is related to the accessible information. This provides both accessible information and the χ-quantity for quantum ensembles dual to our examples. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Information capacity of a quantum observable

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Publisher
Springer Journals
Copyright
Copyright © 2012 by Pleiades Publishing, Ltd.
Subject
Engineering; Information Storage and Retrieval; Electrical Engineering; Communications Engineering, Networks; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946012010012
Publisher site
See Article on Publisher Site

Abstract

In this paper we consider the classical capacities of quantum-classical channels corresponding to measurement of observables. Special attention is paid to the case of continuous observables. We give formulas for unassisted and entanglement-assisted classical capacities C and C ea and consider some explicitly solvable cases, which give simple examples of entanglement-breaking channels with C < C ea. We also elaborate on the ensemble-observable duality to show that C ea for the measurement channel is related to the χ-quantity for the dual ensemble in the same way as C is related to the accessible information. This provides both accessible information and the χ-quantity for quantum ensembles dual to our examples.

Journal

Problems of Information TransmissionSpringer Journals

Published: Apr 17, 2012

References

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