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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
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Research works printed but not linked: 1
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Cited by
Sorted by citations
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
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Geometrical characterization of non-Markovianity
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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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