Local fault-tolerant quantum computation

Krysta M. Svore, Barbara M. Terhal, David P. Divincenzo

Research output: Contribution to journalArticleScientificpeer-review

60 Citations (Scopus)

Abstract

We analyze and study the effects of locality on the fault-tolerance threshold for quantum computation. We analytically estimate how the threshold will depend on a scale parameter which characterizes the scale-up in the size of the circuit due to encoding. We carry out a detailed seminumerical threshold analysis for concatenated coding using the seven-qubit CSS code in the local and the "nonlocal" setting. First, we find that the threshold in the local model for the code has a dependence, which is in correspondence with our analytical estimate. Second, the threshold, beyond the dependence, does not depend too strongly on the noise levels for transporting qubits. Beyond these results, we find that it is important to look at more than one level of concatenation in order to estimate the threshold and that it may be beneficial in certain places, like in the transportation of qubits, to do error correction only infrequently.
Original languageEnglish
Article number022317
Pages (from-to)022317-1 - 022317-17
Number of pages17
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume72
Issue number2
DOIs
Publication statusPublished - 2005
Externally publishedYes

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