Quantum error correction against correlated noise

Journal Article · Tue Jun 01 04:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.062313· OSTI ID:20643738

Clemens, James P; Siddiqui, Shabnam; Gea-Banacloche, Julio ^[1]

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1. Department of Physics, University of Arkansas, Fayetteville, Arkansas 72701 (United States)

We consider quantum error correction against correlated noise using simple and concatenated Calderbank-Shor-Steane codes as well as n-qubit repetition codes. We characterize the performance of various codes by means of the fidelity following the error correction of a single logical qubit in a quantum register. For concatenated codes we find a threshold in the single-qubit error rate below which the encoded qubit is perfectly protected. The threshold depends on the correlation strength of the noise and goes to zero for perfect correlation. Finally, we concatenate the traditional error correcting codes with a decoherence free subspace and evaluate the performance over the whole range from uncorrelated noise to perfectly correlated noise.

• OSTI ID: 20643738
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 69; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CORRECTIONS
CORRELATIONS
ENERGY LEVELS
ERRORS
INFORMATION THEORY
NOISE
PERFORMANCE
QUANTUM MECHANICS