Approximate quantum error correction can lead to better codes

Journal Article · Wed Oct 01 04:00:00 EDT 1997 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.56.2567· OSTI ID:632562

Leung, D W; Yamamoto, Y ^[1]; Nielsen, M A; Chuang, I L ^[2]; Nielsen, M A ^[3]; Chuang, I L ^[4]

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1. ERATO Quantum Fluctuation Project, Edward L. Ginzton Laboratory, Stanford University, Stanford, California 94305-4085 (United States)
2. Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030 (United States)
3. Department of Physics and Astronomy, Center for Advanced Studies, University of New Mexico, Albuquerque, New Mexico 87131-1156 (United States)
4. Theoretical Astrophysics T-6, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

We present relaxed criteria for quantum error correction that are useful when the specific dominant quantum noise process is known. As an example, we provide a four-bit code that corrects for a single amplitude damping error. This code violates the usual Hamming bound calculated for a Pauli description of the error process and has no simple explanation in terms of the usual Pauli basis GF(4) codes. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 632562
• Journal Information: Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 56; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COMPUTER CODES
ERRORS
NOISE
PAULI PRINCIPLE
QUANTUM MECHANICS