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Completely positive post-Markovian master equation via a measurement approach

A. Shabani and D. A. Lidar
Phys. Rev. A 71, 020101(R) – Published 15 February 2005

Abstract

A post-Markovian quantum master equation is derived, which 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.

  • Figure
  • Received 12 April 2004

DOI:https://doi.org/10.1103/PhysRevA.71.020101

©2005 American Physical Society

Authors & Affiliations

A. Shabani1 and D. A. Lidar2

  • 1Physics Department and Center for Quantum Information and Quantum Control, University of Toronto, 60 St. George St., Toronto, Ontario, Canada M5S 1A7
  • 2Chemical Physics Theory Group, Chemistry Department, and Center for Quantum Information and Quantum Control, University of Toronto, 80 St. George St., Toronto, Ontario, Canada M5S 3H6

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Vol. 71, Iss. 2 — February 2005

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