Quantum Error Correction and Reversible Operations

Preprint

30 November 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/9811082

Abstract

I give a pedagogical account of Shor's nine-bit code for correcting arbitrary errors on single qubits, and I review work that determines when it is possible to maintain quantum coherence by reversing the deleterious effects of open-system quantum dynamics. The review provides an opportunity to introduce an efficient formalism for handling superoperators. I present and prove some bounds on entanglement fidelity, which might prove useful in analyses of approximate error correction.

Keywords

REVERSIBLE OPERATIONS
PEDAGOGICAL ACCOUNT
ERROR CORRECTION
QUANTUM ERROR
SHOR'S NINE
OPEN SYSTEM
NINE BIT
ERRORS

All Related Versions

Version 1, 1998-11-30, ArXiv

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