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Concatenating Decoherence-Free Subspaces with Quantum Error Correcting Codes

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 31 May 1999Embargo end date: 01 Jan 1998 English Publisher:American Physical Society (APS)Journal:Physical Review Letters, volume 82, pages 4,556-4,559 (issn: 0031-9007, eissn: 1079-7114,

Authors: K. B. Whaley; Daniel A. Lidar; Dave Bacon;

doi: 10.1103/physrevlett.82.4556 , 10.48550/arxiv.quant-ph/9809081

arXiv: http://arxiv.org/abs/quant-ph/9809081

Concatenating Decoherence-Free Subspaces with Quantum Error Correcting Codes

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Abstract

An operator sum representation is derived for a decoherence-free subspace (DFS) and used to (i) show that DFSs are the class of quantum error correcting codes (QECCs) with fixed, unitary recovery operators, and (ii) find explicit representations for the Kraus operators of collective decoherence. We demonstrate how this can be used to construct a concatenated DFS-QECC code which protects against collective decoherence perturbed by independent decoherence. The code yields an error threshold which depends only on the perturbing independent decoherence rate.

4 pages, no figures. Several changes. To appear in PRL

Related Organizations

University of California, Berkeley
United States

Keywords

FOS: Computer and information sciences, Quantum Physics, Computer Science - Information Theory, Information Theory (cs.IT), FOS: Physical sciences, Mathematical Physics (math-ph), Quantum Physics (quant-ph), Mathematical Physics

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	243
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 1%

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243

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Funded by

NSF| Atomic and Molecular Doped Quantum Clusters