Negative Entropy and Information in Quantum Mechanics
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A framework for a quantum mechanical information theory is introduced that is based entirely on density operators, and gives rise to a unified description of classical correlation and quantum entanglement. Unlike in classical (Shannon) information theory, quantum (von Neumann) conditional entropies can be negative when considering quantum entangled systems, a fact related to quantum nonseparability. The possibility that negative (virtual) information can be carried by entangled particles suggests a consistent interpretation of quantum informational processes.
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The von Neumann entropy of the total system can be smaller than the individual entropy of any of its subsystems, which is impossible in the classical setting.
“Consequently, the von Neumann entropy of the total system can be smaller than the individual entropy of any of its subsystems, which is impossible in the classical setting [52].”
From Conformal Cyclic Cosmology, gravitational entropy and quantum information (2023) · cites this paper as [52]
Cites
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- Authors
- Cerf, N. J., & Adami, C.
- Affiliations
- California Institute of Technology (US)
- ORCID
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1997-12-29
- Volume
- 79
- Issue
- 26
- Pages
- 5194-5197
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2011346799
- Cited by
- 461
- References
- 3
- Citations by year
- 2026: 8 · 2025: 22 · 2024: 17 · 2023: 47 · 2022: 23 · 2021: 19 · 2020: 19 · 2019: 12 · 2018: 14 · 2017: 16 · 2016: 22 · 2015: 23 · 2014: 23 · 2013: 23 · 2012: 16
- FWCI
- 5.25
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Dépôt institutionnel de l'Université libre de Bruxelles (Université Libre de Bruxelles) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Keywords
- negentropy, quantum information, density matrix, quantum entanglement, classical correlations, quantum nonseparability, virtual information, entangled particles
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