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- Khrennikov, Aleksander, et al.
(författare)
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Principles of Constructing Artificial Intelligence Systems and their Application in Electrical Power Industry
- 2021
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Ingår i: Energy Systems Research. - : Melentiev Energy Systems Institute SB RAS. - 2618-9992. ; 4:4, s. 63-78
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Tidskriftsartikel (refereegranskat)abstract
- The paper considers two historically established directions of building artificial intelligence systems: expert systems and neural networks. The consideration is given to parallels and analogies between the work of neural networks and the work of the human brain, the hierarchical structure of the brain, the history of the neurocybernetics development, and the theoretical foundations of neural networks.Models of reasoning of specialists are used in expert systems based on production rules (expressions of the form “if ..., then”). The main semantic elements in neural networks are models of neurons and layers of neurons (input, output, intermediate). Large amounts of data are associated with neuron models (the so-called “big data”).The paper gives examples of using neural networks and artificial intelligence systems in the electric power industry for the electrical equipment state monitoring, operational dispatch control of electrical networks, for the analysis of emergencies, and intelligent functions of automated dispatch control systems (ADCS).
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2. |
- Accardi, Luigi, et al.
(författare)
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Application of Non-Kolmogorovian Probability and Quantum Adaptive Dynamics to Unconscious Inference in Visual Perception Process
- 2016
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Ingår i: Open systems & information dynamics. - 1230-1612 .- 1573-1324. ; 23:2
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Tidskriftsartikel (refereegranskat)abstract
- Recently a novel quantum information formalism - quantum adaptive dynamics - was developed and applied to modelling of information processing by bio-systems including cognitive phenomena: from molecular biology (glucose-lactose metabolism for E.coli bacteria, epigenetic evolution) to cognition, psychology. From the foundational point of view quantum adaptive dynamics describes mutual adapting of the information states of two interacting systems (physical or biological) as well as adapting of co-observations performed by the systems. In this paper we apply this formalism to model unconscious inference: the process of transition from sensation to perception. The paper combines theory and experiment. Statistical data collected in an experimental study on recognition of a particular ambiguous figure, the Schroer stairs, support the viability of the quantum(-like) model of unconscious inference including modelling of biases generated by rotation-contexts. From the probabilistic point of view, we study (for concrete experimental data) the problem of contextuality of probability, its dependence on experimental contexts. Mathematically contextuality leads to non-Komogorovness: probability distributions generated by various rotation contexts cannot be treated in the Kolmogorovian framework. At the same time they can be embedded in a "big Kolmogorov space" as conditional probabilities. However, such a Kolmogorov space has too complex structure and the operational quantum formalism in the form of quantum adaptive dynamics simplifies the modelling essentially.
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3. |
- 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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5. |
- Adenier, Guillaume, et al.
(författare)
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A Fair sampling test for Ekert protocol
- 2011
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Ingår i: Quantum Bio-inforamtics IV. - : World Scientific. - 9789814343756 - 9789814343763 ; , s. 403-412
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Bokkapitel (refereegranskat)
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6. |
- Adenier, Guillaume, et al.
(författare)
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Double Blinding-Attack on Entanglement-Based Quantum Key Distribution Protocols
- 2012
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Ingår i: AIP Conference Proceedings. - : AIP. - 0094-243X .- 1551-7616. - 9780735410046 ; 1424:1, s. 9-16
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Tidskriftsartikel (refereegranskat)abstract
- We propose a double blinding-attack on entangled-based quantum key distribution protocols. The principle of the attack is the same as in existing blinding attack except that instead of blinding the detectors on one side only, Eve is blinding the detectors of both Alice and Bob. In the BBM92 protocol, the attack allows Eve to get a full knowledge of the key and remain undetected even if Alice and Bob are using 100% efficient detectors. The attack can be easily extended to Ekert protocol, with an efficiency as high as 85.3%.
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7. |
- 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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8. |
- 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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9. |
- 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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10. |
- Adenier, Guillaume, et al.
(författare)
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Multiple-photon absorption attack on entanglement-based quantum key distribution protocols
- 2013
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Ingår i: Quantum Bio-Informatics V: Proceedings of the Quantum Bio-Informatics 2011 : <em>Tokyo University of Science, Japan, </em><em>7 – 12 March 2011</em>. - Singapore : World Scientific. - 9789814460019 ; , s. 171-180
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Konferensbidrag (refereegranskat)abstract
- We propose a multiple-photon absorption attack on Quantum Key Distribution protocols. In this attack, the eavesdropper (Eve) is in control of the source and sends pulses correlated in polarization (but not entangled) containing several photons at frequencies for which only multiple-photon absorptions are possible in Alice's and Bob's detectors. Whenever the number of photons from one pulse are dispatched in insufficient number to trigger a multiple-photon absorption in either channel, the pulse remains undetected. We show that this simple feature is enough to reproduce the type of statistics on the detected pulses that are considered as indicating a secure quantum key distribution in entangled-based protocols, even though the source is controlled by Eve, and we discuss possible countermeasures.
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11. |
- Adenier, Guillaume, et al.
(författare)
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Test of the no-signaling principle in the Hensen loophole-free CHSH experiment
- 2017
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Ingår i: Fortschritte der Physik. - : Wiley-Blackwell. - 0015-8208 .- 1521-3978. ; 65:9
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Tidskriftsartikel (refereegranskat)abstract
- We analyze the data from the loophole-free CHSH experiment performed by Hensen et al., and show that it is actually not exempt of an important loophole. By increasing the size of the sample of event-ready detections, one can exhibit in the experimental data a violation of the no-signaling principle with a statistical significance at least similar to that of the reported violation of the CHSH inequality, if not stronger. The data from the loophole-free CHSH experiment performed by Hensen et al. are analysed, It is shown that it is actually not exempt of an important loophole. By increasing the size of the sample of event-ready detections, one can exhibit in the experimental data a violation of the no-signaling principle with a statistical significance at least similar to that of the reported violation of the CHSH inequality, if not stronger.
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15. |
- 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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16. |
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17. |
- 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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20. |
- 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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21. |
- Alodjants, Alexander P., et al.
(författare)
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Mean-field theory of social laser
- 2022
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Ingår i: Scientific Reports. - : Nature Publishing Group. - 2045-2322. ; 12:1
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Tidskriftsartikel (refereegranskat)abstract
- In this work we suggest a novel paradigm of social laser (solaser), which can explain such Internet inspired social phenomena as echo chambers, reinforcement and growth of information cascades, enhancement of social actions under strong mass media operation. The solaser is based on a wellknown in quantum physics laser model of coherent amplification of the optical field. Social networks are at the core of the solaser model; we define them by means of a network model possessing power-law degree distribution. In the solaser the network environment plays the same role as the gain medium has in a physical laser device. We consider social atoms as decision making agents (humans or even chat bots), which possess two (mental) states and occupy the nodes of a network. The solaser establishes communication between the agents as absorption and spontaneous or stimulated emission of socially actual information within echo chambers, which mimic an optical resonator of a convenient (physical) laser. We have demonstrated that social lasing represents the second order nonequilibrium phase transition, which evokes the release of coherent socially stimulated information field represented with the order parameter. The solaser implies the formation of macroscopic social polarization and results in a huge social impact, which is realized by viral information cascades occurring in the presence of population imbalance (social bias). We have shown that decision making agents follow an adiabatically time dependent mass media pump, which acts in the network community reproducing various reliable scenarios for information cascade evolution. We have also shown that in contrast to physical lasers, due to node degree peculiarities, the coupling strength of decision making agents with the network may be enhanced root < k > times. It leads to a large increase of speed, at which a viral message spreads through a social media. In this case, the mass media pump supports additional reinforcement and acceleration of cascade growth. We have revealed that the solaser model in some approximations possesses clear links with familiar !sing and SIS (susceptible-infected-susceptible) models typically used for evaluating a social impact and information growth, respectively. However, the solaser paradigm can serve as a new platform for modelling temporal social events, which originate from "microscopic" (quantum-like) processes occurring in the society. Our findings open new perspectives for interdisciplinary studies of distributed intelligence agents behavior associated with information exchange and social impact.
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22. |
- Alodjants, Alexander, et al.
(författare)
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Random Lasers as Social Processes Simulators
- 2023
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Ingår i: Entropy. - : MDPI. - 1099-4300. ; 25:12
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Tidskriftsartikel (refereegranskat)abstract
- In this work, we suggest a quantum-like simulator concept to study social processes related to the solution of NP-hard problems. The simulator is based on the solaser model recently proposed by us in the framework of information cascade growth and echo chamber formation in social network communities. The simulator is connected with the random laser approach that we examine in the A and D-class (superradiant) laser limits. Novel network-enforced cooperativity parameters of decision-making agents, which may be measured as a result of the solaser simulation, are introduced and justified for social systems. The innovation diffusion in complex networks is discussed as one of the possible impacts of our proposal.
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24. |
- Anashin, Vladimir, et al.
(författare)
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Ergodicity criteria for non-expanding transformations of 2-adic spheres
- 2014
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Ingår i: Discrete and Continuous Dynamical Systems. - : American Institute of Mathematical Sciences (AIMS). - 1078-0947 .- 1553-5231. ; 34:2, s. 367-377
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Tidskriftsartikel (refereegranskat)abstract
- In the paper, we obtain necessary and sufficient conditions for ergodicity (with respect to the normalized Haar measure) of discrete dynamical systems < f; S2-r (a)> on 2-adic spheres S2-r (a) of radius 2(-r), r >= 1, centered at some point a from the ultrametric space of 2-adic integers Z(2). The map f: Z(2) -> Z(2) is assumed to be non-expanding and measure-preserving; that is, f satisfies a Lipschitz condition with a constant 1 with respect to the 2-adic metric, and f preserves a natural probability measure on Z(2), the Haar measure mu(2) on Z(2) which is normalized so that mu(2)(Z(2)) = 1.
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