Fault-Tolerant Error Correction with Efficient Quantum Codes

Details Fault-Tolerant Error Correction with Efficient Quantum Codes Fault-Tolerant Error Correction with Efficient Quantum Codes

1996-05-22

arxiv.org/abs/quant-ph/9605031v2

Physics

Quantum Physics

12 pages REVTeX, 1 ps figure included. Minor additions and revisions

Scientific paper

10.1103/PhysRevLett.77.3260

We exhibit a simple, systematic procedure for detecting and correcting errors using any of the recently reported quantum error-correcting codes. The procedure is shown explicitly for a code in which one qubit is mapped into five. The quantum networks obtained are fault tolerant, that is, they can function successfully even if errors occur during the error correction. Our construction is derived using a recently introduced group-theoretic framework for unifying all known quantum codes.

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