Fault-Tolerant Error Correction with Efficient Quantum Codes

Journal Article · Tue Oct 01 04:00:00 EDT 1996 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.77.3260· OSTI ID:388372

DiVincenzo, D P; Shor, P W ^[1]

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1. IBM T. J. Watson Research Center, Yorktown Heights, New York 10598 (United States)

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. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 388372
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 15 Vol. 77; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 GENERAL AND MISCELLANEOUS
COMPUTER CODES
CORRECTIONS
ERRORS
MEMORY DEVICES
NETWORK ANALYSIS
QUANTUM MECHANICS