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Depolarizing channel as a completely positive map with memory
Open accessAbstract
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.
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Cites
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Cited by
Finite-Time Disentanglement Via Spontaneous Emission
Yu, T., & Eberly, J. H. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.140404 · Cited by 1,642
Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
Breuer, H.-P., Laine, E.-M., & Piilo, J. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.210401 · Cited by 1,480
Quantum non-Markovianity: characterization, quantification and detection
Rivas, Á., Huelga, S. F., & Plenio, M. B. (2014) · Reports on Progress in Physics · doi:10.1088/0034-4885/77/9/094001 · Cited by 1,035
Quantum Speed Limits in Open System Dynamics
del Campo, A., Egusquiza, I. L., Plenio, M. B., & Huelga, S. F. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.050403 · Cited by 493
Measure for the non-Markovianity of quantum processes
Laine, E.-M., Piilo, J., & Breuer, H.-P. (2010) · Physical Review A · doi:10.1103/physreva.81.062115 · Cited by 484
Metadata
- Authors
- Daffer, S., Wódkiewicz, K., Cresser, J. D., & McIver, J. K.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2004-07-21
- Volume
- 70
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1978183237
- Cited by
- 198
- References
- 4
- FWCI
- 4.30
- Type
- journal article
- Language
- en
- Open access
- green
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- Daffer, S., Wódkiewicz, K., Cresser, J. D., & McIver, J. K. (2004). Depolarizing channel as a completely positive map with memory. Physical Review A. https://doi.org/10.1103/physreva.70.010304
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
