Quantum Probability Theory and the Foundations of Quantum Mechanics
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According to the 'ETH approach', the algebra of available observables is time-dependent and does not allow one to distinguish coherent from incoherent superpositions once a measurement has been completed.
“Similarly, according to the “ETH approach”26, the algebra of available observables is time-dependent and does not allow one to distinguish coherent from incoherent superpositions once a measurement has been completed.”
From Quantum theory cannot consistently describe the use of itself (2018) · cites this paper as [26]
Cites
On the Einstein Podolsky Rosen paradox
Bell, J. S. (1964) · Physics Physique Fizika · doi:10.1103/physicsphysiquefizika.1.195 · Cited by 12,252 · see citing works
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548 · cited 1× · see citing works
“trices. With the idealization/approximation that time evolution is given by a groupoid of completely positive maps, this is the point of view popular among quantum information scientists; (see, e.g., [52]). The trajectories of density matrices {ρω ≥t}t∈R are then what replaces the trajectories {ξt = φt,t0(ξ0)}t∈R of a…”
Background"Relative State" Formulation of Quantum Mechanics
Everett, H. (1957) · Reviews of Modern Physics · doi:10.1103/revmodphys.29.454 · Cited by 3,379 · see citing works
Theory of Operator Algebras II
Takesaki, M. (2003) · Encyclopaedia of mathematical sciences · doi:10.1007/978-3-662-10451-4 · Cited by 3,257 · see citing works
Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt
Einstein, A. (1905) · Annalen der Physik · doi:10.1002/andp.19053220607 · Cited by 3,090 · see citing works
Operator Algebras and Quantum Statistical Mechanics
Bratteli, O., & Robinson, D. W. (1997) · Springer eBooks · doi:10.1007/978-3-662-03444-6 · Cited by 3,080 · see citing works
On the Problem of Hidden Variables in Quantum Mechanics
BELL, J. S. (1966) · Reviews of Modern Physics · doi:10.1103/revmodphys.38.447 · Cited by 2,845 · see citing works
Unified dynamics for microscopic and macroscopic systems
Ghirardi, G. C., Rimini, A., & Weber, T. (1986) · Physical Review D · doi:10.1103/physrevd.34.470 · Cited by 2,798 · see citing works
Quantum Theory: Concepts and Methods
Peres, A., & Ballentine, L. E. (1995) · American Journal of Physics · doi:10.1119/1.17946 · Cited by 2,561 · see citing works
Haag, R. (1996) · doi:10.1007/978-3-642-61458-3 · Cited by 2,443 · see citing works
The Problem of Hidden Variables in Quantum Mechanics
Kochen, S., & Specker, E. P. (1975) · Springer eBooks · doi:10.1007/978-94-010-1795-4_17 · Cited by 1,715 · see citing works
Quantum Theory and Measurement
Ballentine, L. E. (1984) · American Journal of Physics · doi:10.1119/1.13804 · Cited by 1,469 · see citing works
Quantum Theory and Measurement
Zurek, W. H., & Wheeler, J. A. (1983) · Princeton University Press eBooks · doi:10.1515/9781400854554 · Cited by 1,363 · see citing works
Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy
Bell, J. S., & Aspect, A. (2004) · doi:10.1017/cbo9780511815676 · Cited by 1,261 · see citing works
An algebraic approach to quantum field theory
Haag, R., & Kastler, D. (1964) · Journal of Mathematical Physics · doi:10.1063/1.1704187 · Cited by 1,250 · see citing works
Consistent histories and the interpretation of quantum mechanics
Griffiths, R. B. (1984) · Journal of Statistical Physics · doi:10.1007/bf01015734 · Cited by 1,138 · see citing works
The Interpretation of Quantum Mechanics
Omnès, R. (1994) · doi:10.1515/9780691187433 · Cited by 1,033 · see citing works
Measures on the Closed Subspaces of a Hilbert Space
Gleason, A. M. (1975) · Springer eBooks · doi:10.1007/978-94-010-1795-4_7 · Cited by 1,011 · see citing works
Quantenmechanik der Sto�vorg�nge
Born, M. (1926) · Zeitschrift f�r Physik · doi:10.1007/bf01397184 · Cited by 956 · cited 3× · see citing works
“If no measurements are made before a is observed then, according to Born [10], pi = ω(Πi(t)), where Πi(t) is the spectral projection of the operator a(t) = τt,t0(a) corresponding to the eigenvalue αi, (with t the time of measurement of a).”
BackgroundOperator Algebras and Quantum Statistical Mechanics
Bratteli, O., & Robinson, D. W. (1979) · Springer eBooks · doi:10.1007/978-3-662-02313-6 · Cited by 929 · see citing works
Classical equations for quantum systems
Gell‐Mann, M., & Hartle, J. B. (1993) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.47.3345 · Cited by 921 · see citing works
7. Zur Quantentheorie der Strahlung
Einstein, A. (1969) · De Gruyter eBooks · doi:10.1515/9783112596609-016 · Cited by 919 · see citing works
Tomita's Theory of Modular Hilbert Algebras and its Applications
Takesaki, M. (1970) · Lecture notes in mathematics · doi:10.1007/bfb0065832 · Cited by 728 · see citing works
Quantum Theory: Concepts and Methods
Peres, A., & Mayer, M. E. (1994) · Physics Today · doi:10.1063/1.2808757 · Cited by 695 · see citing works
Une classification des facteurs de type ${\rm III}$
Connes, A. (1973) · Annales scientifiques de l'École normale supérieure · doi:10.24033/asens.1247 · Cited by 553 · see citing works
竹崎, 正. (2002) · Springer eBooks · Cited by 529 · see citing works
Progressive field-state collapse and quantum non-demolition photon counting
Guerlin, C., Bernu, J., Deléglise, S., Sayrin, C., Gleyzes, S., Kuhr, S., Brune, M., Raimond, J. M., & Haroche, S. (2007) · Nature · doi:10.1038/nature06057 · Cited by 490 · see citing works
Conditional expectations in von Neumann algebras
Takesaki, M. (1972) · Journal of Functional Analysis · doi:10.1016/0022-1236(72)90004-3 · Cited by 477 · see citing works
Über quantentheoretische Umdeutung kinematischer und mechanischer Beziehungen
Heisenberg, W. K. (1985) · Springer eBooks · doi:10.1007/978-3-642-61659-4_26 · Cited by 477 · see citing works
Quantum theory of measurement and macroscopic observables
Hepp, K. (1972) · E-Periodica · doi:10.5169/seals-114381 · Cited by 299 · see citing works
QBism, the Perimeter of Quantum Bayesianism
Fuchs, C. A. (2010) · arXiv · doi:10.48550/arxiv.1003.5209 · Cited by 295 · see citing works
THE LAGRANGIAN IN QUANTUM MECHANICS
Dirac, P. A. M. (2005) · WORLD SCIENTIFIC eBooks · doi:10.1142/9789812567635_0003 · Cited by 274 · see citing works
Dynamical entropy ofC* algebras and von Neumann algebras
Alain Connes, A., Narnhofer, H., & Thirring, W. E. (1987) · Communications in Mathematical Physics · doi:10.1007/bf01225381 · Cited by 269 · see citing works
Glimm, J. G. (1961) · Annals of Mathematics · doi:10.2307/1970319 · Cited by 242 · see citing works
Kingmán, J. F. C., & Neveu, J. (1973) · Journal of the Royal Statistical Society Series A (General) · doi:10.2307/2344758 · Cited by 240 · see citing works
The wave mechanics of ∝-Ray tracks
Mott, N. F. (1929) · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · doi:10.1098/rspa.1929.0205 · Cited by 233 · see citing works
Nine formulations of quantum mechanics
Styer, D. F., Balkin, M. S., Becker, K. M., Burns, M. R., Dudley, C. E., Forth, S. T., Gaumer, J. S., Kramer, M., Oertel, D. C., Park, L. H., et al. (2002) · American Journal of Physics · doi:10.1119/1.1445404 · Cited by 231 · see citing works
Über die Zustandsänderung durch den Meßprozeß
Lüders, G. (1950) · Annalen der Physik · doi:10.1002/andp.19504430510 · Cited by 224 · see citing works
Some results and problems on quantum Bell-type inequalities
Tsirelson, B. S. (1993) · Medical Entomology and Zoology · Cited by 195 · see citing works
Conne’s bicentralizer problem and uniqueness of the injective factor of type III1
Haagerup, U. (1987) · Acta Mathematica · doi:10.1007/bf02392257 · Cited by 164 · see citing works
The Collected Works of Eugene Paul Wigner
Wigner, E. P., & Wightman, A. (1993) · Springer eBooks · doi:10.1007/978-3-662-02781-3 · Cited by 155 · see citing works
Martingale models for quantum state reduction
Adler, S. L., Brody, D. C., Brun, T. A., & Hughston, L. P. (2001) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/34/42/306 · Cited by 118 · see citing works
THE ALGEBRA OF MICROSCOPIC MEASUREMENT
Schwinger, J. (1959) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.45.10.1542 · Cited by 114 · see citing works
Predictions and Primitive Ontology in Quantum Foundations: A Study of Examples
Allori, V., Goldstein, S., Tumulka, R., & Zanghı̀, N. (2014) · The British Journal for the Philosophy of Science · doi:10.1093/bjps/axs048 · Cited by 102 · see citing works
Collision theory for massless Bosons
Detlev Buchholz, A. (1977) · Communications in Mathematical Physics · doi:10.1007/bf01625781 · Cited by 88 · see citing works
The classification of decoherence functionals: An analog of Gleason’s theorem
Isham, C. J., Linden, N., & Schreckenberg, S. (1994) · Journal of Mathematical Physics · doi:10.1063/1.530679 · Cited by 86 · see citing works
Art as Art: The Selected Writings of Ad Reinhardt
Reinhardt, A. (1975) · Cited by 86 · see citing works
Asymptotic Completeness for Rayleigh Scattering
Frölich, J., Griesemer, M., & Schlein, B. (2002) · Annales Henri Poincaré · doi:10.1007/s00023-002-8614-9 · Cited by 80 · see citing works
Convergence of repeated quantum nondemolition measurements and wave-function collapse
Bauer, M., & Bernard, D. (2011) · Physical Review A · doi:10.1103/physreva.84.044103 · Cited by 79 · see citing works
Time of occurrence observable in quantum mechanics
Brunetti, R., & Fredenhagen, K. (2002) · Physical Review A · doi:10.1103/physreva.66.044101 · Cited by 65 · see citing works
Wavefunction collapse as a real gravitational effect
PENROSE, R. (2000) · Mathematical Physics 2000 · doi:10.1142/9781848160224_0013 · Cited by 61 · see citing works
DECOHERENCE INDUCED TRANSITION FROM QUANTUM TO CLASSICAL DYNAMICS
Blanchard, P., & Olkiewicz, R. (2003) · Reviews in Mathematical Physics · doi:10.1142/s0129055x03001631 · Cited by 59 · see citing works
0 Hilbert Spaces from Path Integrals
Fay Dowker, B., Johnston, S., & Sorkin, R. D. (2010) · Cited by 43 · see citing works
Approach to Ground State and Time-Independent Photon Bound for Massless Spin-Boson Models
Roeck, W. D., & Kupiainen, A. J. (2012) · Annales Henri Poincaré · doi:10.1007/s00023-012-0190-z · Cited by 39 · see citing works
Multiple Time Analyticity of a Quantum Statistical State Satisfying the KMS Boundary Condition
Araki, H. (1968) · Publications of the Research Institute for Mathematical Sciences · doi:10.2977/prims/1195194880 · Cited by 36 · see citing works
Diffusion of a Massive Quantum Particle Coupled to a Quasi-Free Thermal Medium
Roeck, W. D., & Fröhlich, J. (2011) · Communications in Mathematical Physics · doi:10.1007/s00220-011-1222-0 · Cited by 29 · see citing works
Self-citationPurification of quantum trajectories
Maassen, H., & Kümmerer, B. (2006) · Institute of Mathematical Statistics eBooks · doi:10.1214/074921706000000275 · Cited by 28 · see citing works
Purification of quantum trajectories
Maassen, H., & Kümmerer, B. (2006) · Lecture notes-monograph series · doi:10.1214/lnms/1196285826 · Cited by 28 · see citing works
Quantum Probability and Quantum Information Theory
Maassen, H. (2010) · Lecture notes in physics · doi:10.1007/978-3-642-11914-9_3 · Cited by 27 · see citing works
Quantum Weirdness? It's All in Your Mind
von Baeyer, H. C. (2013) · Scientific American · doi:10.1038/scientificamerican0613-46 · Cited by 27 · see citing works
Intrinsic algebraic characterization of space-time structure
Bannier, U. (1994) · International Journal of Theoretical Physics · doi:10.1007/bf00671024 · Cited by 24 · see citing works
On the Asymptotic Behaviour of Some Stochastic Differential Equations for Quantum States
Barchielli, A., & Paganoni, A. M. (2003) · Infinite Dimensional Analysis Quantum Probability and Related Topics · doi:10.1142/s0219025703001146 · Cited by 23 · see citing works
Hilbert spaces from path integrals
Dowker, F., Johnston, S., & Sorkin, R. D. (2010) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/43/27/275302 · Cited by 23 · see citing works
A Reconstruction of Quantum Mechanics
Kochen, S. (2015) · Foundations of Physics · doi:10.1007/s10701-015-9886-5 · Cited by 21 · see citing works
Arrival time observables in quantum mechanics
Werner, R. F. (1987) · French digital mathematics library (Numdam) · Cited by 19 · see citing works
The preparation of states in quantum mechanics
Fröhlich, J. M., & Schubnel, B. (2016) · Journal of Mathematical Physics · doi:10.1063/1.4940696 · Cited by 18 · see citing works
Self-citationOn the Probabilistic Nature of Quantum Mechanics and the Notion of Closed Systems
Faupin, J., Fröhlich, J. M., & Schubnel, B. (2015) · Annales Henri Poincaré · doi:10.1007/s00023-015-0416-y · Cited by 17 · see citing works
Self-citationQuantum Systems and Resolvent Algebras
Detlev Buchholz, A., & Grundling, H. (2015) · Lecture notes in physics · doi:10.1007/978-3-662-46422-9_2 · Cited by 12 · see citing works
Lie Algebras of Derivations and Resolvent Algebras
Detlev Buchholz, A., & Grundling, H. (2012) · Communications in Mathematical Physics · doi:10.1007/s00220-012-1567-z · Cited by 11 · see citing works
Do we understand quantum mechanics – finally?
Fröhlich, J. M., & Schubnel, B. (2013) · ESI lectures in mathematics and physics · doi:10.4171/121-1/3 · Cited by 9 · see citing works
Self-citationRoepstorff, G. (2008) · Springer eBooks · doi:10.1007/3-540-60188-0_63 · Cited by 7 · see citing works
Information transfer implies state collapse
Janssens, B., & Maassen, H. (2006) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/39/31/014 · Cited by 7 · see citing works
NEW LIGHT ON INFRARED PROBLEMS: SECTORS, STATISTICS, SPECTRUM AND ALL THAT
Detlev Buchholz, A. (2013) · WORLD SCIENTIFIC eBooks · doi:10.1142/9789814449243_0064 · Cited by 5 · see citing works
Information Transfer Implies State Collapse
Janssens, B., & Maassen, H. (2006) · CERN Document Server (European Organization for Nuclear Research) · Cited by 5 · see citing works
Quantum theory cannot be extendedPreprint
Colbeck, R., & Renner, R. (2010) · arXiv (Cornell University) · Cited by 4 · see citing works
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Quantum theory cannot consistently describe the use of itself
Frauchiger, D., & Renner, R. (2018) · Nature Communications · doi:10.1038/s41467-018-05739-8 · Cited by 333 · see citing works
“Similarly, according to the ETH approach [26], the algebra of available observables is time-dependent and does not allow one to distinguish coherent from incoherent superpositions once a measurement has been completed.”
BackgroundQuantum theory cannot consistently describe the use of itself
Frauchiger, D., & Renner, R. (2018) · RePEc: Research Papers in Economics · doi:10.3929/ethz-b-000293141 · Cited by 241 · see citing works
Fröhlich, J. M. (2020) · Fundamental theories of physics · doi:10.1007/978-3-030-46777-7_19 · Cited by 145 · see citing works
Self-citationBrout–Englert–Higgs physics: From foundations to phenomenology
Maas, A. (2019) · Progress in Particle and Nuclear Physics · doi:10.1016/j.ppnp.2019.02.003 · Cited by 80 · see citing works
Quantum theory and determinism
Vaidman, L. (2014) · Quantum Studies: Mathematics and Foundations · doi:10.1007/s40509-014-0008-4 · Cited by 65 · see citing works
Renes, J. M. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2107.02193 · Cited by 34 · see citing works
A “garden of forking paths” – The quantum mechanics of histories of events
Blanchard, P., Fröhlich, J. M., & Schubnel, B. (2016) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2016.04.010 · Cited by 25 · see citing works
Self-citation(2015) · AccessScience · doi:10.1036/1097-8542.580000 · Cited by 27 · see citing works
Holland, P. (1993) · Cambridge University Press eBooks · doi:10.1017/cbo9780511622687.013 · Cited by 25 · see citing works
A Brief Review of the “ETH-Approach to Quantum Mechanics”
Fröhlich, J. M. (2020) · Springer eBooks · doi:10.1007/978-3-030-56409-4_2 · Cited by 22 · see citing works
Self-citationTesting quantum theory with thought experiments
Nurgalieva, N., & Renner, R. (2020) · Contemporary Physics · doi:10.1080/00107514.2021.1880075 · Cited by 19 · see citing works
On the Probabilistic Nature of Quantum Mechanics and the Notion of Closed Systems
Faupin, J., Fröhlich, J. M., & Schubnel, B. (2015) · Annales Henri Poincaré · doi:10.1007/s00023-015-0416-y · Cited by 17 · see citing works
Self-citationIndirect Acquisition of Information in Quantum Mechanics
Ballesteros, M., Fraas, M., Fröhlich, J. M., & Schubnel, B. (2016) · Journal of Statistical Physics · doi:10.1007/s10955-015-1410-y · Cited by 16 · see citing works
Self-citationOn reduction of the wave-packet, decoherence, irreversibility and the second law of thermodynamics
Narnhofer, H., & Wreszinski, W. F. (2014) · Physics Reports · doi:10.1016/j.physrep.2014.03.001 · Cited by 15 · see citing works
Localization and Entanglement in Relativistic Quantum Physics
Yngvason, J. (2015) · Lecture notes in physics · doi:10.1007/978-3-662-46422-9_15 · Cited by 15 · see citing works
The Time-Evolution of States in Quantum Mechanics according to the ETH-Approach
Fröhlich, J. M., & Pizzo, A. (2021) · Communications in Mathematical Physics · doi:10.1007/s00220-021-04225-5 · Cited by 12 · see citing works
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Finster, F., Fröhlich, J. M., Oppio, M., & Paganini, C. F. (2020) · Discrete and Continuous Dynamical Systems - S · doi:10.3934/dcdss.2020451 · Cited by 9 · see citing works
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Finster, F., Fröhlich, J. M., Oppio, M., & Paganini, C. F. (2021) · University of Regensburg Publication Server (University of Regensburg) · Cited by 6 · see citing works
Self-citationNo Events on Closed Causal Curves
Paganini, C. F. (2022) · Foundations of Physics · doi:10.1007/s10701-022-00542-4 · Cited by 5 · see citing works
Indirect retrieval of information and the emergence of facts in quantum mechanicsPreprint
Ballesteros, M., Fraas, M., Fröhlich, J. M., & Schubnel, B. (2015) · arXiv (Cornell University) · doi:10.48550/arxiv.1506.01213 · Cited by 5 · see citing works
Self-citationFröhlich, J. M., Gang, Z., & Pizzo, A. (2025) · Communications in Mathematical Physics · doi:10.1007/s00220-025-05352-z · Cited by 4 · see citing works
Self-citationSakuldee, F., & Cywiński, Ł. (2022) · Quantum Information Processing · doi:10.1007/s11128-022-03576-9 · Cited by 4 · see citing works
Mathematical Results on the Foundations of Quantum Mechanics
Schubnel, B. (2014) · Repository for Publications and Research Data (ETH Zurich) · doi:10.3929/ethz-a-010428944 · Cited by 4 · see citing works
Self-citationBallesteros, M., Crawford, N., Fraas, M., Fröhlich, J. M., & Schubnel, B. (2017) · arXiv (Cornell University) · doi:10.48550/arxiv.1709.03149 · Cited by 4 · see citing works
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Finster, F., Kleiner, J., & Paganini, C. F. (2024) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/ad7655 · Cited by 3 · see citing works
Reddiger, M. (2025) · Quantum Studies Mathematics and Foundations · doi:10.1007/s40509-025-00375-6 · Cited by 2 · see citing works
Sakuldee, F., & Suwanna, S. (2018) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2018.04.097 · Cited by 3 · see citing works
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Riek, R. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1901.03663 · Cited by 2 · see citing works
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Nurgalieva, N., & Renner, R. (2021) · Repository for Publications and Research Data (ETH Zurich) · doi:10.3929/ethz-b-000475588 · Cited by 2 · see citing works
On measuring localization and delocalization patterns in molecules
Kryachko, E. S. (2026) · Structural Chemistry · doi:10.1007/s11224-026-02773-x · Cited by 1 · see citing works
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Chétrite, R., & Patras, F. (2023) · Annales Henri Poincaré · doi:10.1007/s00023-023-01296-z · Cited by 1 · see citing works
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Paganini, C. F. (2020) · arXiv (Cornell University)
Riek, R. (2025) · Journal of Physics Conference Series · doi:10.1088/1742-6596/3017/1/012019
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Sia, B. S. (2026) · Journal of High Energy Physics · doi:10.1007/jhep07(2026)026
- Authors
- Fröhlich, J., & Schubnel, B.
- Affiliations
- ETH Zurich (CH)
- Corresponding author
- Fröhlich, Jürg
- Venue
- Lecture Notes in Physics
- Publisher
- Springer Berlin Heidelberg
- Published
- 2015
- Pages
- 131-193
- ISSN
- 0075-8450 (ISSN-L)
- 1616-6361
- OpenAlex
- W3016173868
- Cited by
- 36
- References
- 78
- Citations by year
- 2026: 2 · 2025: 3 · 2024: 2 · 2023: 1 · 2022: 2 · 2021: 5 · 2020: 5 · 2019: 2 · 2018: 3 · 2017: 1 · 2016: 3 · 2015: 3 · 2014: 3
- FWCI
- 15.23
- Type
- book chapter
- Language
- en
- Open access
- closed
- Licence
- Locations
- Lecture notes in physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Operator Algebra Research
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Keywords
- quantum probability, quantum foundations, operator algebras
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