Title

Quantum Error Correction Of Time-Correlated Errors

Keywords

Error correction; Quantum information; Stabilizer code; Time-correlated

Abstract

The complexity of the error correction circuitry forces us to design quantum error correction codes capable of correcting a single error per error correction cycle. Yet, time-correlated error are common for physical implementations of quantum systems; an error corrected during the previous cycle may reoccur later due to physical processes specific for each physical implementation of the qubits. In this paper, we study quantum error correction for a restricted class of time-correlated errors in a spin-boson model. The algorithm we propose allows the correction of two errors per error correction cycle, provided that one of them is time-correlated. The algorithm can be applied to any stabilizer code when the two logical qubits |0L〉and |0L〉 are entangled states of 2 n basis states in ℋ2n. © 2007 Springer Science+Business Media, LLC.

Publication Date

8-1-2007

Publication Title

Quantum Information Processing

Volume

6

Issue

4

Number of Pages

273-293

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s11128-007-0058-1

Socpus ID

34748889987 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/34748889987

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