Verification procedures for quantum noiseless subsystems

Journal Article · Mon Sep 01 00:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.032311· OSTI ID:20640155

Viola, Lorenza; Knill, Emanuel ^[1]

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1. Los Alamos National Laboratory, Mail Stop B256, Los Alamos, New Mexico 87545, USA (United States)

We examine the problem of verifying the implementation of a desired noiseless subsystem from a quantum error-correcting perspective. General conditions are identified, under which the verification of error-correcting behavior against a linear set of errors E suffices for the verification of noiseless subsystems of an error algebra A contained in E. From a practical standpoint, our results imply that the verification of a noiseless subsystem need not require the explicit verification of noiseless behavior for all possible initial states of the syndrome subsystem.

• OSTI ID: 20640155
• Journal Information: Physical Review. A, Vol. 68, Issue 3; Other Information: DOI: 10.1103/PhysRevA.68.032311; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ALGEBRA
CORRECTIONS
ENERGY LEVELS
ERRORS
IMPLEMENTATION
INFORMATION THEORY
NOISE
QUANTUM MECHANICS
VERIFICATION