Sufficient and Necessary Condition for Zero Quantum Entropy Rates under any Coupling to the Environment
Open accessAbstract
We find the necessary and sufficient conditions for the entropy rate of the system to be zero under any system-environment Hamiltonian interaction. We call the class of system-environment states that satisfy this condition lazy states. They are a generalization of classically correlated states defined by quantum discord, but based on projective measurements of any rank. The concept of lazy states permits the construction of a protocol for detecting global quantum correlations using only local dynamical information. We show how quantum correlations to the environment provide bounds to the entropy rate, and how to estimate dissipation rates for general non-Markovian open quantum systems.
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“[62], who express a bound on the instantaneous variation of the purity in terms of the strength of the interaction Hamiltonian and the properties of the total system-environment density operator, as well as by the authors of Ref.”
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- Authors
- Rodríguez-Rosario, C. A., Kimura, G., Imai, H., & Aspuru-Guzik, A.
- Affiliations
- Harvard University (US)
- National Institute of Advanced Industrial Science and Technology (JP)
- ORCID
- Kimura, Gen
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-02-02
- Volume
- 106
- Issue
- 5
- Pages
- 050403-050403
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1991764086
- Cited by
- 28
- References
- 30
- Citations by year
- 2025: 1 · 2023: 1 · 2020: 2 · 2019: 1 · 2017: 2 · 2016: 2 · 2015: 3 · 2014: 2 · 2013: 1 · 2012: 7
- FWCI
- 4.71
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Digital Access to Scholarship at Harvard (DASH) (Harvard University) (submittedVersion, cc-by)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- arXiv (Cornell University)
- Funders
- U.S. Department of Energy
- Office of Naval Research
- 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
- quantum discord, projective measurement, open quantum systems, non-Markovian dynamics, system-environment interaction
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