Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain
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Using recently proposed measures for non-Markovianity [H.-P. Breuer, E. M. Laine, and J. Piilo, Phys. Rev. Lett. 103, 210401 (2009)], we study the dynamics of a qubit coupled to a spin environment via an energy-exchange mechanism. We show the existence of a point, in the parameter space of the system, where the qubit dynamics is effectively Markovian and that such a point separates two regions with completely different dynamical behaviors. Indeed, our study demonstrates that the qubit evolution can in principle be tuned from a perfectly forgetful one to a deep non-Markovian regime where the qubit is strongly affected by the dynamical backaction of the environmental spins. By means of a theoretical quantum process tomography analysis, we provide a complete and intuitive characterization of the qubit channel.
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Equation (87) leads to an experimentally realizable scheme for the local detection of correlations in an unknown total system's initial state ρ1(0).
“Equation (87) leads to an experimentally realizable scheme for the local detection of correlations in an unknown total system's initial state ρ 1 (0) as follows [46].”
From Foundations and measures of quantum non-Markovianity (2012) · cites this paper as [46]
For the dephasing map, CP-divisibility leads to the same constraint (58) as P-divisibility.
“In order to assess when CP-divisibility holds, one can consider positivity of the associated Choi matrix [37], which still leads to the constraint (58).”
From Markovianity and non-Markovianity in quantum and classical systems (2011) · cites this paper as [37]
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- Authors
- Apollaro, T. J. G., Di Franco, C., Plastina, F., & Paternostro, M.
- Affiliations
- University of Florence (IT)
- Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Cosenza (IT)
- Queen's University Belfast (GB)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2011-03-02
- Volume
- 83
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2074576631
- Cited by
- 106
- References
- 45
- Citations by year
- 2026: 1 · 2025: 10 · 2024: 7 · 2023: 2 · 2022: 2 · 2021: 1 · 2020: 6 · 2019: 6 · 2018: 4 · 2017: 5 · 2016: 7 · 2015: 12 · 2014: 12 · 2013: 13 · 2012: 12
- FWCI
- 12.64
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Arrow@dit (Dublin Institute of Technology) (submittedVersion)
- Cork Open Research Archive (University College Cork, Ireland) (submittedVersion)
- Research Portal (Queen's University Belfast) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Engineering and Physical Sciences Research Council (EP/G004579/1)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- non-Markovianity, quantum backaction, quantum process tomography, open quantum system dynamics
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