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Phys. Rev. A 76, 012331 (2007) [12 pages]

Multiparticle decoherence-free subspaces in extended systems

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Raisa I. Karasik1,2,3, Karl-Peter Marzlin3, Barry C. Sanders3, and K. Birgitta Whaley1,2
1Applied Science & Technology, University of California, Berkeley, California 94720, USA
2Department of Chemistry and Berkeley Quantum Information Center, University of California, Berkeley, California 94720, USA
3Institute for Quantum Information Science, University of Calgary, Calgary, Alberta T2N 1N4, Canada

Received 1 April 2007; published 27 July 2007

We develop a method to determine spatial configurations to realize decoherence-free subspaces for spatially extended multiparticle systems. We have assumed normal reservoir behavior including translational invariance of the reservoir and preparation in stationary states or mixture thereof and weak Markovian system-reservoir coupling that requires energy transfer. One important outcome of our method is a proof that there does not exist a multiparticle decoherence-free subspace in such systems except in the limit that the spatial extent of the system becomes infinitesimal.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.76.012331
DOI:
10.1103/PhysRevA.76.012331
PACS:
03.67.Pp, 42.50.Ct