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Phys. Rev. A 70, 010304(R) (2004) [4 pages]

Depolarizing channel as a completely positive map with memory

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Sonja Daffer1, Krzysztof Wódkiewicz1,2, James D. Cresser3, and John K. McIver1
1Department of Physics and Astronomy, University of New Mexico, 800 Yale Boulevard NE, Albuquerque, New Mexico 87131, USA
2Instytut Fizyki Teoretycznej, Uniwersytet Warszawski, Hoża 69, Warszawa 00-681, Poland
3Department of Physics, Macquarie University, New South Wales 2109, Australia

Received 8 March 2004; published 21 July 2004

The prevailing description for dissipative quantum dynamics is given by the Lindblad form of a Markovian master equation, used under the assumption that memory effects are negligible. However, in certain physical situations, the master equation is essentially of a non-Markovian nature. In this paper we examine master equations that possess a memory kernel, leading to a replacement of white noise by colored noise. The conditions under which this leads to a completely positive, trace-preserving map are discussed for an exponential memory kernel.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.70.010304
DOI:
10.1103/PhysRevA.70.010304
PACS:
03.67.Hk, 02.50.Ey, 03.65.Yz, 42.50.Lc
 
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