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Thermal entanglement and teleportation in a three-qubit Heisenberg XXZ model with Dzyaloshinski-Moriya anisotropic antisymmetric interaction

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Chinese Physics B 2009年第8期18卷 3203-3209页

作者：谢利军张登玉唐世清詹孝贵高峰 Faculty of Material and Photoelectronic Physics Xiangtan University Department of Physics and Electronic Information Science Hengyang Normal University

This paper investigates the thermal pairwise entanglement of a three-qubit Heisenberg XXZ chain in the presence of the Dzyaioshinski-Moriya （DM） anisotropic antisymmetric interaction and quantum teleportation when using the Heisenberg chain as a channel. The entanglement dependences on the DM interaction and temperature are given in detail. It obtains the relation between the concurrence and average fidelity, and shows that the same concurrence can lead different average fidelities. Moreover, it finds the thermally entangled states which do not violate the bell inequalities, and can still be used for quantum teleportation.

关键词： quantum teleportation concurrence fidelity bell inequality violation

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Quantum Mysteries for No One

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Journal of Modern Physics 2021年第9期12卷 1366-1399页

作者： Frank Lad Department of Mathematics and Statistics University of Canterbury Otautahi/Christchurch New Zealand

I provide a critical reassessment of David Mermin’s influential and misleading parable, “Quantum Mysteries for Anyone”, identifying its errors and resolving them with a complete analysis of the quantum experiment it is meant to portray. Accessible to popular readership and requiring no knowledge of quantum physics at all, his exposition describes the curious behaviour of a machine that is designed to parody the empirical results of quantum experiments monitoring the spins of a pair of electrons under various conditions. The mysteries are said to unfold from contradictory results produced by a signal process that is proposed to explain them. I find that these results derive from a mathematical error of neglect, coupled with a confusion of two distinct types of experiments under consideration. One of these, a gedankenexperiment, provides the context in which the fabled defiance of bell’s inequality is thought to emerge. The errors are corrected by the recognition of functional relations embedded within the experimental conditions that have been long unnoticed. A Monte Carlo simulation of results in accord with the actual abstemious claims of quantum theory supports probability values that Mermin decries as unwarranted. However, the distribution it suggests is not definitive, in accord with the expressed agnostic position of quantum theory regarding measurements that cannot be executed. Bounding quantum probabilities are computed for the results of the gedankenexperiment relevant to bell’s inequality which inspired the parable. The problem is embedded in a 3 × 3 design of Stern-Gerlach magnet orientations at two observation stations. Computational resolution on the basis of Bruno de Finetti’s fundamental theorem of probability requires the evaluation of a battery of three paired linear programming problems. Though technicalities are ornate, the message is clear. There are no mysteries of quantum mechanics that derive from mistaken understandings of bell’s inequality… f

关键词： bell inequality violation Fundamental Theorem of Probability Local Realism Probability Bounds

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