| 1. |
- Accardi, Luigi, et al.
(författare)
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Quantum Markov Model for Data from Shafir-Tversky Experiments in Cognitive Psychology
- 2009
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Ingår i: Open systems & information dynamics. - Singapore : WSP. - 1230-1612 .- 1573-1324. ; 16:4, s. 371-385
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Tidskriftsartikel (refereegranskat)abstract
- We analyze, from the point of view of quantum probability, statistical data from two interesting experiments, done by Shafir and Tversky [1, 2] in the domain of cognitive psychology. These are gambling experiments of Prisoner Dilemma type. They have important consequences for economics, especially for the justification of the Savage "Sure Thing Principle" [3] (implying that agents of the market behave rationally). Data from these experiments were astonishing, both from the viewpoint of cognitive psychology and economics and probability theory. Players behaved irrationally. Moreover, all attempts to generate these data by using classical Markov model were unsuccessful. In this note we show (by inventing a simple statistical test — generalized detailed balance condition) that these data are non-Kolmogorovian. We also show that it is neither quantum (i.e., it cannot be described by Dirac-von Neumann model). We proceed towards a quantum Markov model for these data.
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| 2. |
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| 3. |
- Adenier, Guillaume, et al.
(författare)
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Fair sampling and rotational invariance in EPR experiments
- 2007
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Ingår i: The Nature of Light: What Are Photons?. - : SPIE. - 9780819468123
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Konferensbidrag (övrigt vetenskapligt/konstnärligt)abstract
- We have previously shown that the use of the fair sampling assumption in EPR experiments could be questioned on the basis of experimental data. We continue our analysis of the data from the optical EPR experimental performed by Weihs et al. in Innsbruck 1997-1998, and we discuss whether a non-rotationally invariant source can account for the experimental results.
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| 4. |
- Adenier, Guillaume, et al.
(författare)
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Fair Sampling vs No-Signalling Principle in EPR experiments
- 2007
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Ingår i: Beyond the Quantum. - : World Scientific Publishing, Singapore. - 9789812771179 ; , s. 181-187
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Konferensbidrag (populärvet., debatt m.m.)abstract
- We present some recent results of a new statistical analysis of the optical EPR experiment performed by Weihs et al in Innsbruck 1997-1998. Under the commonly used assumption of fair sampling, we show that the coincidence counts exhibit a small and anomalous non-signalling component, which seems impossible to explain by using the conventional quantum mechanics, and we discuss some possible interpretations of this phenomenon.
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| 5. |
- Adenier, Guillaume, et al.
(författare)
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Is the fair sampling assumption supported by EPR experiments?
- 2007
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Ingår i: Journal of Physics B: At. Mol. Opt. Phys.. - : Institute of Physics ( IOP ), Bristol. - 0953-4075 .- 1361-6455. ; 40:1, s. 131-141
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Tidskriftsartikel (refereegranskat)abstract
- We analyse optical EPR experimental data performed by Weihs et al in Innsbruck 1997–1998. We show that for some linear combinations of the raw coincidence rates, the experimental results display some anomalous behaviour that a more general source state (like non-maximally entangled state) cannot straightforwardly account for. We attempt to explain these anomalies by taking account of the relative efficiencies of the four channels. For this purpose, we use the fair sampling assumption, and assume explicitly that the detection efficiencies for the pairs of entangled photons can be written as a product of the two corresponding detection efficiencies for the single photons. We show that this explicit use of fair sampling cannot be maintained to be a reasonable assumption as it leads to an apparent violation of the no-signalling principle.
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| 6. |
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| 7. |
- Albeverio, S., et al.
(författare)
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Operator calculus for p-adic valued symbols and quantization
- 2009
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Ingår i: Rendicoti Del Seminario Matematico. - 0373-1243. ; 67:2, s. 137-150
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Tidskriftsartikel (refereegranskat)abstract
- The aim of this short review is to attract the attention of the pseudo-differentialcommunity to possibilities in the development of operator calculus for symbols (dependingon p-adic conjugate variables) taking values in fields of p-adic numbers. Essentials of thiscalculus were presented in works of the authors of this paper in order to perform p-adic valuedquantization. Unfortunately, this calculus still has not attracted a great deal of attentionfrom pure mathematicians, although it opens new and interesting domains for the theory ofpseudo-differential operators.
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| 8. |
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| 9. |
- Albeverio, Sergio, et al.
(författare)
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p-Adic valued quantization
- 2009
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Ingår i: P-Adic Numbers, Ultrametric Analysis, and Applications. - Berlin : Springer. - 2070-0466 .- 2070-0474. ; 1:2, s. 91-104
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Forskningsöversikt (refereegranskat)abstract
- This review covers an important domain of p-adic mathematical physics — quantum mechanics with p-adic valued wave functions. We start with basic mathematical constructions of this quantum model: Hilbert spaces over quadratic extensions of the field of p-adic numbers ℚ p , operators — symmetric, unitary, isometric, one-parameter groups of unitary isometric operators, the p-adic version of Schrödinger’s quantization, representation of canonical commutation relations in Heisenberg andWeyl forms, spectral properties of the operator of p-adic coordinate.We also present postulates of p-adic valued quantization. Here observables as well as probabilities take values in ℚ p . A physical interpretation of p-adic quantities is provided through approximation by rational numbers.
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| 10. |
- Allahverdyan, A, et al.
(författare)
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Brownian entanglement
- 2005
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Ingår i: Physical Review A. Atomic, Molecular, and Optical Physics. - 1050-2947 .- 1094-1622. ; 72, s. 032102-
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Tidskriftsartikel (refereegranskat)
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