Experimental investigation of initial system-environment correlations via trace-distance evolution
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The trace distance between two states of an open quantum system quantifies their distinguishability and, for a fixed environmental state, can increase above its initial value only in the presence of initial system-environment correlations. We provide experimental evidence of such a behavior. In our all-optical apparatus, we exploit spontaneous parametric down conversion as a source of polarization entangled states and a spatial light modulator to introduce in a general fashion correlations between the polarization and the momentum degrees of freedom, which act as environment.
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The relative entropy represents a possibility for an alternative distance measure that is natural both from an information-theoretic perspective and from the point of view of nonequilibrium thermodynamics, since the negative rate of change of the entropy relative to an invariant thermal equilibrium state can be interpreted as entropy production.
“In particular, the relative entropy represents a possibility which is natural both from an information theoretic perspective and from the point of view of nonequilibrium thermodynamics, since the negative rate of change of the entropy relative to an invariant thermal equilibrium state can be interpreted as entropy production [53, 54].”
From Foundations and measures of quantum non-Markovianity (2012) · cites this paper as [54]
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References 34 · Cited by 96
- Authors
- Smirne, A., Brivio, D., Cialdi, S., Vacchini, B., & Paris, M. G. A.
- Affiliations
- University of Milan (IT)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2011-09-16
- Volume
- 84
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2082654621
- Cited by
- 96
- References
- 34
- Citations by year
- 2026: 2 · 2025: 5 · 2024: 5 · 2023: 1 · 2022: 3 · 2021: 10 · 2020: 4 · 2019: 3 · 2018: 3 · 2017: 9 · 2016: 7 · 2015: 8 · 2014: 6 · 2013: 10 · 2012: 16
- FWCI
- 10.59
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano) (submittedVersion, other-oa)
- arXiv (Cornell University)
- Funders
- Ministero dell’Istruzione, dell’Università e della Ricerca (PRIN 2008)
- 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
- trace distance, open quantum systems, distinguishability, spontaneous parametric down-conversion, spatial light modulator
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