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New method to simulate quantum interference using deterministic processes and application to event-based simulation of quantum computation  [PDF]
H. De Raedt,K. De Raedt,K. Michielsen
Physics , 2005, DOI: 10.1143/JPSJS.74S.16
Abstract: We demonstrate that networks of locally connected processing units with a primitive learning capability exhibit behavior that is usually only attributed to quantum systems. We describe networks that simulate single-photon beam-splitter and Mach-Zehnder interferometer experiments on a causal, event-by-event basis and demonstrate that the simulation results are in excellent agreement with quantum theory. We also show that this approach can be generalized to simulate universal quantum computers.
Simulation of Quantum Computation: A deterministic event-based approach  [PDF]
K. Michielsen,K. De Raedt,H. De Raedt
Physics , 2005,
Abstract: We demonstrate that locally connected networks of machines that have primitive learning capabilities can be used to perform a deterministic, event-based simulation of quantum computation. We present simulation results for basic quantum operations such as the Hadamard and the controlled-NOT gate, and for seven-qubit quantum networks that implement Shor's numbering factoring algorithm.
Event-by-event simulation of quantum phenomena  [PDF]
H. De Raedt,S. Zhao,S. Yuan,F. Jin,K. Michielsen,S. Miyashita
Physics , 2009, DOI: 10.1016/j.physe.2009.06.077
Abstract: We discuss recent progress in the development of simulation algorithms that do not rely on any concept of quantum theory but are nevertheless capable of reproducing the averages computed from quantum theory through an event-by-event simulation. The simulation approach is illustrated by applications to Einstein-Podolsky-Rosen-Bohm experiments with photons.
Event-by-event simulation of quantum phenomena
De Raedt, H.;
Brazilian Journal of Physics , 2008, DOI: 10.1590/S0103-97332008000100006
Abstract: in this talk, i discuss recent progress in the development of simulation algorithms that do not rely on any concept of quantum theory but are nevertheless capable of reproducing the averages computed from quantum theory through an event-by-event simulation. the simulation approach is illustrated by applications to single-photon mach-zehnder interferometer experiments and einstein-podolsky-rosen-bohm experiments with photons.
Event-by-event simulation of quantum phenomena  [PDF]
H. De Raedt
Physics , 2007,
Abstract: In this talk, I discuss recent progress in the development of simulation algorithms that do not rely on any concept of quantum theory but are nevertheless capable of reproducing the averages computed from quantum theory through an event-by-event simulation. The simulation approach is illustrated by applications to single-photon Mach-Zehnder interferometer experiments and Einstein-Podolsky-Rosen-Bohm experiments with photons.
Discrete Time Leads to Quantum-Like Interference of Deterministic Particles  [PDF]
Andrei Khrennikov,Yaroslav Volovich
Physics , 2002,
Abstract: In this note we demonstrate that a quantum-like interference picture could appear as a statistical effect of interference of deterministic particles, i.e. particles that have trajectories and obey deterministic equations, if one introduces a discrete time. The nature of the resulting interference picture does not follow from the geometry of force field, but is strongly attached to the time discreetness parameter. As a demonstration of this concept we consider a scattering of charged particles on the charged screen with a single slit. The resulting interference picture has a nontrivial minimum-maximum distribution which vanishes as the time discreetness parameter goes to zero that could be interpreted as an analog of quantum decoherence.
Event-Enhanced Quantum Theory And Piecewise Deterministic Dynamics  [PDF]
Ph. Blanchard,A. Jadczyk
Physics , 1994, DOI: 10.1002/andp.19955070605
Abstract: The standard formalism of quantum theory is enhanced and definite meaning is given to the concepts of experiment, measurement and event. Within this approach one obtains a uniquely defined piecewise deterministic algorithm generating quantum jumps, classical events and histories of single quantum objects. The wave-function Monte Carlo method of Quantum Optics is generalized and promoted to the level of a fundamental process generating all the real events in Nature. The already worked out applications include SQUID-tank model and generalized cloud chamber model with GRW spontaneous localization as a particular case. Differences between the present approach and quantum measurement theories based on environment induced master equations are stressed. Questions: what is classical, what is time, and what are observers are addressed. Possible applications of the new approach are suggested, among them connection between the stochastic commutative geometry and Connes'noncommutative formulation of the Standard Model, as well as potential applications to the theory and practice of quantum computers.
Event-by-event simulation of quantum eraser experiments with single photons  [PDF]
F. Jin,S. Yuan,H. De Raedt,K. Michielsen
Physics , 2009,
Abstract: We present a computer simulation model that is a one-to-one copy of a quantum eraser experiment with photons (P. D. D. Schwindt {\sl et al.}, Phys. Rev. A 60, 4285 (1999)). The model is solely based on experimental facts, satisfies Einstein's criterion of local causality and does not require knowledge of the solution of a wave equation. Nevertheless, the simulation model reproduces the averages as obtained from the wave mechanical description of the quantum eraser experiment, proving that it is possible to give a particle-only description of quantum eraser experiments with photons. We demonstrate that although the visibility can be used as a measure for the interference, it cannot be used to quantify the wave character of a photon. The classical particle-like simulation model renders the concept of wave-particle duality, used to explain the outcome of the quantum eraser experiment with photons, superfluous.
Corpuscular Event-by-Event Simulation of Quantum Optics Experiments: Application to a Quantum-Controlled Delayed-Choice Experiment  [PDF]
Hans De Raedt,Mutia Delina,Fenping Jin,Kristel Michielsen
Physics , 2012, DOI: 10.1088/0031-8949/2012/T151/014004
Abstract: A corpuscular simulation model of optical phenomena that does not require the knowledge of the solution of a wave equation of the whole system and reproduces the results of Maxwell's theory by generating detection events one-by-one is discussed. The event-based corpuscular model gives a unified description of multiple-beam fringes of a plane parallel plate and single-photon Mach-Zehnder interferometer, Wheeler's delayed choice, photon tunneling, quantum eraser, two-beam interference, Einstein-Podolsky-Rosen-Bohm and Hanbury Brown-Twiss experiments. The approach is illustrated by application to a recent proposal for a quantum-controlled delayed choice experiment, demonstrating that also this thought experiment can be understood in terms of particle processes only.
Event-by-event simulation of nonclassical effects in two-photon interference experiments  [PDF]
Kristel Michielsen,Fengping Jin,Mutia Delina,Hans De Raedt
Physics , 2012, DOI: 10.1088/0031-8949/2012/T151/014005
Abstract: A corpuscular simulation model for second-order intensity interference phenomena is discussed. It is shown that both the visibility ${\cal V}=1/2$ predicted for two-photon interference experiments with two independent sources and the visibility ${\cal V}=1$ predicted for two-photon interference experiments with a parametric down-conversion source can be explained in terms of a locally causal, modular, adaptive, corpuscular, classical (non-Hamiltonian) dynamical system. Hence, there is no need to invoke quantum theory to explain the so-called nonclassical effects in the interference of signal and idler photons in parametric-down conversion. A revision of the commonly accepted criterion of the nonclassical nature of light is needed.
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