The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
Optimal state pairs for non-Markovian quantum dynamics
Open accessAbstract
We study a recently proposed measure for the quantification of quantum non-Markovianity in the dynamics of open systems which is based on the exchange of information between the open system and its environment. This measure relates the degree of memory effects to certain optimal initial state pairs featuring a maximal flow of information from the environment back to the open system. We rigorously prove that the states of these optimal pairs must lie on the boundary of the space of physical states and that they must be orthogonal. This implies that quantum memory effects are maximal for states which are initially distinguishable with certainty, having a maximal information content. Moreover, we construct an explicit example which demonstrates that optimal quantum states need not be pure states.
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“As shown in Figure 6, for N=4, we observe more pronounced oscillations, indicating higher non-Markovianity.”
From Quantum Models of Consciousness from a Quantum Information Science Perspective (2025) · cites this paper as [117]
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“This increase indicates a backflow of information from the environment (buffer network) to the system.”
From Quantum Models of Consciousness from a Quantum Information Science Perspective (2025) · cites this paper as [117]
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Cites
Quantum computation and quantum information
Law, J. (2001) · ACM SIGSOFT Software Engineering Notes · doi:10.1145/505482.505499 · Cited by 20,450
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Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548
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Self-citationCompletely 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
Self-citationEntanglement 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
Liu, B.-H., Li, L., Huang, Y.-F., Li, C.-F., Guo, G.-C., Laine, E.-M., Breuer, H.-P., & Piilo, J. (2011) · Nature Physics · doi:10.1038/nphys2085 · Cited by 574
Self-citationQuantum 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 534
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
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Research works printed but not linked: 1
- M. Hayashi, 2006, Quantum Information
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Colloquium : Non-Markovian dynamics in open quantum systems
Breuer, H., Laine, E.-M., Piilo, J., & Vacchini, B. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.021002 · Cited by 1,459
Self-citationDynamics of non-Markovian open quantum systems
de Vega, I., & Alonso, D. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.015001 · Cited by 1,294
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
Geometrical characterization of non-Markovianity
Lorenzo, S., Plastina, F., & Paternostro, M. (2013) · Physical Review A · doi:10.1103/physreva.88.020102 · Cited by 258
Quantum speedup in a memory environment
Xu, Z.-Y., Luo, S., Yang, W. L., Liu, C., & Zhu, S. (2014) · Physical Review A · doi:10.1103/physreva.89.012307 · Cited by 156
Metadata
- Authors
- Wißmann, S., Karlsson, A., Laine, E.-M., Piilo, J., & Breuer, H.-P.
- Affiliations
- University of Freiburg (DE)
- University of Turku (FI)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2012-12-17
- Volume
- 86
- Issue
- 6
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2083572972
- Cited by
- 179
- References
- 22
- Citations by year
- 2026: 6 · 2025: 10 · 2024: 19 · 2023: 6 · 2022: 8 · 2021: 14 · 2020: 5 · 2019: 23 · 2018: 15 · 2017: 15 · 2016: 14 · 2015: 14 · 2014: 18 · 2013: 12
- FWCI
- 7.27
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- FreiDok plus (Universitätsbibliothek Freiburg) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- quantum non-Markovianity, open quantum systems, information flow, quantum memory effects, distinguishability, orthogonal states, mixed states
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