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Cited by 176

The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.

Completely positive post-Markovian master equation via a measurement approach

Open access
Shabani, A., Lidar, D. A.·2005·Physical Review A
DOI 10.1103/physreva.71.020101
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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.

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Citations

Cites

Show all 10 references

Research works printed but not linked: 23

  1. R. Alicki, 1987, Quantum Dynamical Semigroups and Applications
  2. 10.1143/PTP.20.948 · DOI · Paper page
  3. 10.1063/1.1731409 · DOI · Paper page
  4. 10.1103/PhysRevLett.73.1060 · DOI · Paper page
  5. 10.1103/PhysRevLett.75.3020 · DOI · Paper page
  6. 10.1103/PhysRevLett.75.3021 · DOI
  7. 10.1007/BF01040100 · DOI · Paper page
  8. 10.1007/BF01319852 · DOI · Paper page
  9. 10.1103/PhysRevLett.77.3272 · DOI
  10. 10.1016/S0375-9601(03)01052-1 · DOI
  11. 10.1103/PhysRevA.59.1633 · DOI · Paper page
  12. 10.1103/PhysRevA.69.012104 · doi:10.1103/physreva.69.012104
  13. 10.1103/PhysRevA.66.012108 · DOI
  14. 10.1103/PhysRevA.69.022115 · DOI
  15. 10.1103/PhysRevLett.82.1801 · DOI · Paper page
  16. 10.1016/S0375-9601(00)00014-1 · DOI
  17. 10.1103/PhysRevA.64.033808 · DOI
  18. 10.1103/PhysRevA.70.010304 · DOI · Paper page
  19. 10.1103/PhysRevA.70.012106 · DOI · Paper page
  20. 10.1103/PhysRevLett.68.580 · DOI · Paper page
  21. 10.1088/0305-4470/25/21/023 · DOI · Paper page
  22. 10.1016/S0301-0104(01)00330-5 · DOI
  23. 10.1103/PhysRevA.47.3311 · DOI · Paper page

Cited by

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Metadata

Authors
Shabani, A., & Lidar, D. A.
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2005-02-15
Volume
71
Issue
2
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.71.020101
OpenAlex
W2026962327
Cited by
176
References
10
FWCI
5.94
Type
journal article
Language
en
Open access
green
Licence
link.aps.org/licenses/aps-default-license (vor)

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CoChat. (2026). Citation check: Completely positive post-Markovian master equation via a measurement approach. https://app.cochat.ai/papers/10.1103/physreva.71.020101
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Shabani, A., & Lidar, D. A. (2005). Completely positive post-Markovian master equation via a measurement approach. Physical Review A. https://doi.org/10.1103/physreva.71.020101

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