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Optimal state pairs for non-Markovian quantum dynamics
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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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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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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