The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
Geometrical characterization of non-Markovianity
Open accessAbstract
We introduce a tool for the quantitative characterization of the departure from Markovianity of a given dynamical process. Our tool can be applied to a generic $N$-level system and extended straightforwardly to Gaussian continuous-variable systems. It is linked to the change of the volume of physical states that are dynamically accessible to a system and provides qualitative expectations in agreement with some of the analogous tools proposed so far. We illustrate its predictive power by tackling a few canonical examples.
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Cites
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548
Completely positive dynamical semigroups of N -level systems
Gorini, V., Kossakowski, A., & Sudarshan, E. C. G. (1976) · Journal of Mathematical Physics · doi:10.1063/1.522979 · Cited by 3,998
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 Dynamical Semigroups and Applications
(2007) · Lecture Notes in Physics · doi:10.1007/3-540-70861-8 · Cited by 1,182
Entanglement and Non-Markovianity of Quantum Evolutions
Rivas, Á., Huelga, S. F., & Plenio, M. B. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.050403 · Cited by 1,037
Assessing Non-Markovian Quantum Dynamics
Wolf, M. M., Eisert, J., Cubitt, T. S., & Cirac, J. I. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.150402 · Cited by 596
Quantum Fisher information flow and non-Markovian processes of open systems
Lu, X.-M., Wang, X., & Sun, C. P. (2010) · Physical Review A · doi:10.1103/physreva.82.042103 · Cited by 540
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
Quantifying non-Markovianity via correlations
Luo, S., Fu, S., & Song, H. (2012) · Physical Review A · doi:10.1103/physreva.86.044101 · Cited by 353
General Non-Markovian Dynamics of Open Quantum Systems
Zhang, W.-M., Lo, P.-Y., Xiong, H.-N., Tu, M. W.-Y., & Nori, F. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.170402 · Cited by 349
Research works printed but not linked: 1
- G. Mahler, 1995, Quantum Networks, 10.1007/978-3-662-03176-6 · doi:10.1007/978-3-662-03176-6
Cited by
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
Non-Markovianity and reservoir memory of quantum channels: a quantum information theory perspective
Bylicka, B., Chruściński, D., & Maniscalco, S. (2014) · Scientific Reports · doi:10.1038/srep05720 · Cited by 329
Non-Markovianity of colored noisy channels
Benedetti, C., Paris, M. G. A., & Maniscalco, S. (2014) · Physical Review A · doi:10.1103/physreva.89.012114 · Cited by 82
Quantum non-Markovianity based on the Fisher-information matrix
Song, H., Luo, S., & Hong, Y. (2015) · Physical Review A · doi:10.1103/physreva.91.042110 · Cited by 65
Orthogonality Catastrophe and Decoherence in a Trapped-Fermion Environment
Sindona, A., Goold, J., Lo Gullo, N., Lorenzo, S., & Plastina, F. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.165303 · Cited by 55
Self-citation
Metadata
- Authors
- Lorenzo, S., Plastina, F., & Paternostro, M.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2013-08-29
- Volume
- 88
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1983785874
- Cited by
- 268
- References
- 23
- FWCI
- 13.71
- Type
- journal article
- Language
- en
- Open access
- hybrid
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