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Cited by 115Quantum Mechanics and ApplicationsNoncommutative and Quantum Gravity TheoriesQuantum chaos and dynamical systems

Primary state diffusion

Percival, Ian Colin·1994·Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences
DOI 10.1098/rspa.1994.0135
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Abstract

Abstract Primary quantum state diffusion (PSD) theory is an alternative quantum theory from which classical dynamics, quantum dynamics and localization dynamics are derived. It is based on four principles, that a system is represented by an operator, its state by a normalized state vector, the state vector satisfies a Langevin-Itô state diffusion equation, and the resultant density operator for an ensemble must satisfy an equation of elementary Lindblad form. There are three conditions. The ז0 first determines the operator, to within an undetermined universal time constant ז0. The second and third conditions put opposing bounds on ז0. Dissipation of coherence is distinguished from destruction of coherence. The state diffusion destroys coherence and produces the localization or reduction that makes classical dynamics possible. PSD theory is a development of the environmental quantum state diffusion theory of Gisin and Percival and particularly resembles earlier proposals by Gisin and by Milburn. It is also related to the spontaneous localization theories of Ghirardi, Rimini and Weber, of Diósi and of Pearle. The non-relativistic PSD theory is of value only for systems which occupy small regions of space. Special relativity is needed for more extended systems even when they contain only slowly moving massive particles. Experiments on coherence lifetimes and matter interferometry are proposed which either measure ז0 or put bounds on it, and which might distinguish between PSD and ordinary quantum mechanics.

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  • Quantum entanglement effects appear to have to be thought of as able to propagate in either direction in time, but cannot by themselves be used to communicate ordinary information into the past.

    “It indeed turns out that quantum entanglement effects-encompassed by such terms as 'quantum information' or 'quanglement' (Penrose [114,116])-appear to have to be thought of as being able to propagate in either direction in time (into the past or into the future).Such effects, however, cannot by themselves be used to communicate ordinary information into the past.”

    From Consciousness in the universe (2014) · cites this paper as [116]

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Authors
Percival, I. C.
Affiliations
University of London (GB)
Corresponding author
Percival, Ian Colin
ORCID
Percival, Ian Colin
Venue
Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences
Publisher
The Royal Society
Published
1994-10-08
Volume
447
Issue
1929
Pages
189-209
ISSN
  • 0962-8444 (ISSN-L)
  • 2053-9177
DOI
10.1098/rspa.1994.0135
OpenAlex
W1985116601
Cited by
115
References
53
Citations by year
2026: 1 · 2025: 1 · 2024: 2 · 2023: 3 · 2022: 3 · 2021: 2 · 2020: 3 · 2019: 2 · 2018: 2 · 2017: 3 · 2016: 5 · 2014: 5 · 2013: 2
FWCI
4.90
Type
journal article
Language
en
Open access
closed
Licence
royalsociety.org/journals/ethics-policies/data-sharing-mining/ (tdm)
Locations
Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences (publishedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
Keywords
quantum state diffusion, alternative quantum theory, spontaneous localization, Lindblad master equation, coherence lifetime, quantum foundations, special relativity

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