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Efficient one-way quantum computations for quantum error correction

Wei Huang1 and Zhaohui Wei2

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We show how to explicitly construct an O(nd) size and constant quantum depth circuit which encodes any given n-qubit stabilizer code with d generators. Our construction is derived using the graphic description for stabilizer codes and the one-way quantum computation model. Our result demonstrates how to use cluster states as scalable resources for many multi-qubit entangled states and how to use the one-way quantum computation model to improve the design of quantum algorithms.


PACS

03.67.Lx Quantum computation architectures and implementations

03.67.Mn Entanglement measures, witnesses, and other characterizations

03.67.Pp Quantum error correction and other methods for protection against decoherence

MSC

81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 29 (24 July 2009)

Received 4 August 2008, in final form 7 May 2009

Published 30 June 2009



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