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29 March 2024
 
  » arxiv » quant-ph/0404077

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Completely Positive Post-Markovian Master Equation via a Measurement Approach
Alireza Shabani ; Daniel A. Lidar ;
Date 13 Apr 2004
Journal Phys. Rev. A 71, 020101(R) (2005) DOI: 10.1103/PhysRevA.71.020101
Subject quant-ph
AffiliationCenter for Quantum Information and Quantum Control, University of Toronto
AbstractA new post-Markovian quantum master equation is derived, that includes bath memory effects via a phenomenologically introduced memory kernel k(t). The derivation uses as a formal tool a probabilistic single-shot bath-measurement process performed during the coupled system-bath evolution. The resulting analytically solvable master equation interpolates between the exact Nakajima-Zwanzig equation and the Markovian Lindblad equation. A necessary and sufficient condition for complete positivity in terms of properties of k(t) is presented, in addition to a prescription for the experimental determination of k(t). The formalism is illustrated with examples.
Source arXiv, quant-ph/0404077
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