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Phys. Rev. A 77, 052301 (2008) [12 pages]

Criteria for dynamically stable decoherence-free subspaces and incoherently generated coherences

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Raisa I. Karasik1,2,3, Karl-Peter Marzlin3, Barry C. Sanders3,4, and K. Birgitta Whaley1,2
1Applied Science and Technology, University of California, Berkeley, California 94720, USA
2Berkeley Quantum Information Center and Department of Chemistry, University of California, Berkeley, California 94720, USA
3Institute for Quantum Information Science, University of Calgary, Calgary, Alberta T2N 1N4, Canada
4Centre for Quantum Computer Technology, Macquarie University, Sydney, New South Wales 2109, Australia

Received 16 November 2007; published 1 May 2008

We present a detailed analysis of decoherence free subspaces and develop a rigorous theory that provides necessary and sufficient conditions for dynamically stable decoherence free subspaces. This allows us to identify a special class of decoherence free states which rely on incoherent generation of coherences. We provide examples of physical systems that support such states. Our approach employs Markovian master equations and applies primarily to finite-dimensional quantum systems.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.052301
DOI:
10.1103/PhysRevA.77.052301
PACS:
03.67.Pp, 42.50.Ct