Quantum error correction with degenerate codes for correlated noise

Journal Article · Sun May 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.052305· OSTI ID:21546722

Chiribella, Giulio ^[1]; Dall'Arno, Michele; D'Ariano, Giacomo Mauro; Macchiavello, Chiara; Perinotti, Paolo ^[2]

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1. Perimeter Institute for Theoretical Physics, 31 Caroline St. North, Waterloo, Ontario N2L 2Y5 (Canada)
2. Quit group, Dipartimento di Fisica 'A. Volta', via Bassi 6, I-27100 Pavia (Italy)

We introduce a quantum packing bound on the minimal resources required by nondegenerate error-correction codes for any kind of noise. We prove that degenerate codes can outperform nondegenerate ones in the presence of correlated noise, by exhibiting examples where the quantum packing bound is violated.

• OSTI ID: 21546722
• Journal Information: Physical Review. A, Vol. 83, Issue 5; Other Information: DOI: 10.1103/PhysRevA.83.052305; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRECTIONS
ERRORS
NOISE
QUANTUM STATES