Sending entanglement through noisy quantum channels

Benjamin Schumacher
Phys. Rev. A 54, 2614 – Published 1 October 1996
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Abstract

This paper addresses some general questions of quantum information theory arising from the transmission of quantum entanglement through (possibly noisy) quantum channels. A pure entangled state is prepared of a pair of systems R and Q, after which Q is subjected to a dynamical evolution given by the superoperator EQ. Two interesting quantities can be defined for this process: the entanglement fidelity Fe and the entropy exchange Se. It turns out that neither of these quantities depends in any way on the system R, but only on the initial state and dynamical evolution of Q. Fe and Se are related to various other fidelities and entropies and are connected by an inequality reminiscent of the Fano inequality of classical information theory. Some insight can be gained from these techniques into the security of quantum cryptographic protocols and the nature of quantum error-correcting codes. © 1996 The American Physical Society.

  • Received 26 April 1996

DOI:https://doi.org/10.1103/PhysRevA.54.2614

©1996 American Physical Society

Authors & Affiliations

Benjamin Schumacher

  • Theoretical Astrophysics, T-6 M.S. B288, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

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Vol. 54, Iss. 4 — October 1996

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