Class of quantum error-correcting codes saturating the quantum Hamming bound

Journal Article · Sun Sep 01 04:00:00 EDT 1996 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.54.1862· OSTI ID:383521

Gottesman, D ^[1]

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1. California Institute of Technology, Pasadena, California 91125 (United States)

I develop methods for analyzing quantum error-correcting codes, and use these methods to construct an infinite class of codes saturating the quantum Hamming bound. These codes encode {ital k}={ital n}{minus}{ital j}{minus}2 quantum bits (qubits) in {ital n}=2{sup {ital j}} qubits and correct {ital t}=1 error. {copyright} {ital 1996 The American Physical Society.}

• Research Organization: California Institute of Technology
• DOE Contract Number: FG03-92ER40701
• OSTI ID: 383521
• Journal Information: Physical Review A, Journal Name: Physical Review A Journal Issue: 3 Vol. 54; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 GENERAL AND MISCELLANEOUS
COMPUTER CODES
COMPUTERS
ERRORS
HILBERT SPACE
MAPS
QUANTUM MECHANICS
UNITARY SYMMETRY