No-Signaling Condition and Quantum Dynamics
Open accessAbstract
We show that the basic dynamical rules of quantum physics can be derived from its static properties and the condition that superluminal communication is forbidden. More precisely, the fact that the dynamics has to be described by linear completely positive maps on density matrices is derived from the following assumptions: (1) physical states are described by rays in a Hilbert space, (2) probabilities for measurement outcomes at any given time are calculated according to the usual trace rule, and (3) superluminal communication is excluded. This result also constrains possible nonlinear modifications of quantum physics.
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The map from black hole evaporation must be linear, for otherwise it would induce troubles with superluminal communication.
“The map must be linear, for otherwise it would induce troubles with superluminal communication [59,60].”
From Conformal Cyclic Cosmology, gravitational entropy and quantum information (2023) · cites this paper as [60]
Cites
A single quantum cannot be cloned
Wootters, W. K., & Zurek, W. H. (1982) · Nature · doi:10.1038/299802a0 · Cited by 5,406 · see citing works
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Relationship between quantum walks and relativistic quantum mechanics
Chandrashekar, C. M., Banerjee, S., & Srikanth, R. (2010) · Physical Review A · doi:10.1103/physreva.81.062340 · Cited by 109 · see citing works
Conformal Cyclic Cosmology, gravitational entropy and quantum information
Eckstein, M. (2023) · General Relativity and Gravitation · doi:10.1007/s10714-023-03070-2 · Cited by 8 · see citing works
- Authors
- Simon, C., Bužek, V., & Gisin, N.
- Affiliations
- University of Oxford (GB)
- Slovak Academy of Sciences (SK)
- University of Geneva (CH)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-10-08
- Volume
- 87
- Issue
- 17
- Pages
- 170405-170405
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1970952443
- Cited by
- 127
- References
- 1
- Citations by year
- 2026: 3 · 2025: 8 · 2024: 4 · 2023: 4 · 2022: 6 · 2021: 2 · 2020: 5 · 2019: 5 · 2018: 1 · 2017: 3 · 2016: 2 · 2015: 8 · 2014: 5 · 2013: 5 · 2012: 3
- FWCI
- 6.81
- Type
- journal article
- Language
- en
- Open access
- Licence
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Archive ouverte UNIGE (University of Geneva) (publishedVersion, other-oa)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Archive ouverte UNIGE (University of Geneva) (submittedVersion, cc-by)
- 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 › Noncommutative and Quantum Gravity Theories
- Keywords
- superluminal communication, quantum dynamics, completely positive maps, density matrix, quantum mechanics derivation, Hilbert spaces, measurement probabilities, nonlinear quantum mechanics, quantum foundations
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