Title

Information-theoretic approach to quantum error correction and reversible measurement

Document Type

Article

Publication Date

January 1998

Abstract

Quantum operations provide a general description of the state changes allowed by quantum mechanics. The reversal of quantum operations is important for quantum error–correcting codes, teleportation and reversing quantum measurements. We derive information–theoretic conditions and equivalent algebraic conditions that are necessary and sufficient for a general quantum operation to be reversible. We analyse the thermodynamic cost of error correction and show that error correction can be regarded as a kind of `Maxwell demon', for which there is an entropy cost associated with information obtained from measurements performed during error correction. A prescription for thermodynamically efficient error correction is given.

Journal

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences

Volume

454

Issue

1969

First Page

277

Last Page

304

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