Revival of quantum correlations without system-environment back-action
Open accessAbstract
Revivals of quantum correlations have often been explained in terms of back-action on quantum systems by their quantum environment(s). Here we consider a system of two independently evolving qubits, each locally interacting with a classical random external field. The environments of the qubits are also independent, and there is no back-action on the qubits. Nevertheless, entanglement, quantum discord, and classical correlations between the two qubits may revive in this model. We explain the revivals in terms of correlations in a classical-quantum state of the environments and the qubits. Although classical states cannot store entanglement on their own, they can play a role in storing and reviving entanglement. It is important to know how the absence of back-action, or modeling an environment as classical, affects the kind of system time evolutions one is able to describe. We find a class of global time evolutions where back-action is absent and for which there is no loss of generality in modeling the environment as classical. Finally, we show that the revivals can be connected with the increase of a parameter used to quantify non-Markovianity of the single-qubit dynamics.
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The interpretation of non-Markovianity as information flowing from the environment to the system may be problematic if taken strictly, because quantum non-Markovian dynamics can have the form E(ρ)=Σ p_i U_i ρ U_i†.
“However, as pointed out in [102,103], this interpretation in terms of information flowing between the system and the environment may be problematic if taken strictly, because it is possible to obtain quantum non-Markovian dynamics with the form E (t,t 0 ) (ρ) = i p i U i (t, t 0 )ρU † i (t, t 0 ).”
From Quantum non-Markovianity: characterization, quantification and detection (2014) · cites this paper as [103]
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- Authors
- Lo Franco, R., Bellomo, B., Andersson, E., & Compagno, G.
- Affiliations
- National Interuniversity Consortium for the Physical Sciences of Matter (IT)
- Heriot-Watt University (GB)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2012-03-16
- Volume
- 85
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2027529302
- Semantic Scholar
- ef16a8a90f66f5f178e645ac2fc32be2f1400bbf
- Cited by
- 188
- References
- 30
- Citations by year
- 2026: 1 · 2025: 6 · 2024: 4 · 2023: 8 · 2022: 6 · 2021: 12 · 2020: 8 · 2019: 11 · 2018: 14 · 2017: 23 · 2016: 16 · 2015: 18 · 2014: 20 · 2013: 24 · 2012: 17
- FWCI
- 24.84
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Nova Science Publishers (Nova Science Publishers, Inc.) (submittedVersion, other-oa)
- arXiv (Cornell University)
- 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
- entanglement revival, quantum discord, classical correlations, back-action, non-Markovianity, qubit dynamics, open quantum systems, environment modeling
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