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Physical Review A

Addendum: Extracting an entangled state of n−t qubits from ann-qubit entangled state after errors attsites

Michael V. Teplitsky, Julio R. Gea-Banacloche

Published Jan 30, 2003• 0 citations
Publisher

Abstract

We present a detailed study of the method recently proposed by Yang and Gea-Banacloche [Phys. Rev. A 64, 032309 (2000)] to protect a maximally entangled state of n atomic qubits against spontaneous-emission-induced decoherence. We compare this to an approach based on nonradiative states, in the case where the number of thermal photons in the environment is nonzero.

DOI
10.1103/physreva.67.014307

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We present a detailed study of the method recently proposed by Yang and Gea-Banacloche [Phys. Rev. A 64, 032309 (2000)] to protect a maximally entangled state of n atomic qubits against spontaneous-emission-induced decoherence. We compare this to an approach based on nonradiative states, in the case where the number of thermal photons in the environment is nonzero.
Get PDF Email Share Share with Facebook Tweet This Post on reddit Share with LinkedIn Add to CiteULike Add to Mendeley Add to BibSonomy Get Citation Copy Citation Text C. Yang and J. Gea-Banacloche, "A special scheme to protect n-qubit maximally-entangled states against decoherence," in Optical Fiber Communication Conference and International Conference on Quantum Information, 2001 OSA Technical Digest Series (Optica Publishing Group, 2001), paper PA38. Export Citation BibTex Endnote (RIS) HTML Plain Text Citation alert Save article
We present a method to protect the entanglement in a maximally entangled n-qubit state of the Greenberger-Horne-Zeilinger or ``Schr\"odinger cat'' form against decoherence, by pairing up each qubit with another one in such a way that each pair of qubits undergoes collective decoherence. Under these conditions, if t pairs experience an error, we show how one can still, in general, extract a maximally entangled state of the remaining $n\ensuremath{-}t$ pairs. Two versions of the method are considered: one of them applies when the locations of the decohered qubits are known, and it might be useful, for instance, in secret-sharing protocols. Another version, which is free from this restriction, provides only partial protection (the resulting state is, generally, not a maximally entangled state), but could nonetheless be useful for the important special case in which the source of error is spontaneous emission.
Recent studies of the decoherence induced by the quantum nature of the laser field driving a two-state atom [J. Gea-Banacloche, Phys. Rev. A 65, 022308 (2002); S. J. van Enk and H. J. Kimble, Quantum Inf. Comput. 2, 1 (2002)] have been questioned by Itano [W. M. Itano, Phys. Rev. A 68, 046301 (2003)] and the proposal made that all decoherence is due to spontaneous emission. We analyze the problem within the formalism of cascaded open quantum systems. Our conclusions agree with the Itano proposal. We show that the decoherence, nevertheless, may be divided into two parts---that due to forwards scattering and to scattering out of the laser mode. Previous authors attribute the former to the quantum nature of the laser field.