Exact and Approximate Performance of Concatenated Quantum Codes

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dc.creatorRahn, Benjamin
dc.creatorDoherty, Andrew C.
dc.creatorMabuchi, Hideo
dc.date2001-11-01
dc.date2001-12-12
dc.date.accessioned2026-07-07T06:02:56Z
dc.date.available2026-07-07T06:02:56Z
dc.descriptionWe derive the effective channel for a logical qubit protected by an arbitrary quantum error-correcting code, and derive the map between channels induced by concatenation. For certain codes in the presence of single-bit Pauli errors, we calculate the exact threshold error probability for perfect fidelity in the infinite concatenation limit. We then use the control theory technique of balanced truncation to find low-order non-asymptotic approximations for the effective channel dynamics.
dc.description4 pages, 4 figures; updated reference 4, fixed typo
dc.identifierhttps://arxiv.org/abs/quant-ph/0111003
dc.identifierhttp://arxiv.org/abs/quant-ph/0111003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89802
dc.subjectQuantum Physics
dc.titleExact and Approximate Performance of Concatenated Quantum Codes
dc.typetext

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