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Bell's Inequality for a System Composed of Particles with Different Spins

Communications in Theoretical Physics 2009年第7期52卷 30-32页

作者： shahpoor moradi Department of Physics Razi University

For two particles with different spins, we derive the Bell＇s inequality. The inequality is investigated for two systems combining spin-1 and spin-1/; spin-1/2 and spin-3/2. We show that for these states Bell＇s inequ... 详细信息

关键词： Bell's inequality hidden variable theory

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Nonlocality and Multipartite Entanglement in Asymptotically Flat Space-Times

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Communications in Theoretical Physics 2016年第1期65卷 17-22页

作者： shahpoor moradi Firouz Amiri Department of Physics Razi University Kermanshah Iran Department of Physics Khorram Abad Branch Islamic Azad University Iran

We study the Bell's inequality and multipartite entanglement generation for initially maximally entangled states of free Dirac field in a non inertial frame and asymptotically flat Robertson–Walker *** two qubit case,we show that the Bell's inequality always is violated as measured by the accelerated observers which are in the causally connected *** the other hand,for those observers in the causally disconnected regions inequality is not violated for any values of *** generated three qubit state from two qubit state due to acceleration of one parties has a zero *** a three qubit state,the inequality violated for measurements done by both causally connected and disconnected *** GHZ state with non zero 3-tangle,in accelerated frame,transformed to a four qubit state with vanishing 4-tangle *** the other hand,for a W-state with zero 3-tangle,in non inertial frame,transformed to a four qubit state with a non-zero 4-tangle acceleration *** an expanding space-time with asymptotically flat regions,for an initially maximally entangled state,the maximum value of violation of Bell's inequality in the far past decreased in the far future due to cosmological particle *** some initially maximally entangled states,the generated four qubit state due to expansion of space-time,has non vanishing 4-tangle.

关键词： Bell's inequality multiparticle entanglement accelerated frames expanding space-time

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Tripartite Entanglement and Lorentz Transformation

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Journal of Quantum Information Science 2014年第3期4卷 173-193页

作者： Firouz Amiri shahpoor moradi Department of Physics Razi University Kermanshah Iran Department of Physics Islamic Azad University Khorram Abad Branch Khorramabad Iran

Entanglement of tripartite spin states under Lorentz transformations is studied in the context of Bell’s inequality and positive partial transpose criterion. First the relativistic analogue of Bell’s inequality is discussed for three qubit states by explicit calculation of the Wigner rotation. We use the relativistic invariant spin operator which is related to the Pauli-Lubanski pseudo vector. For observers at rest the Bell’s inequality is speed-independent and maximally violated. For moving observers it’s shown that Bell’s inequality is violated and the amount of violation depends on the boost speed. We show that in ultrarelativistic limit Bell’s inequality is still maximally violated. We also obtained the critical value for satisfying Bell’s inequality. The critical value of boost speed for violation of inequality for particles moving in the center of mass frame is greater than that for particles moving with the same momentum. Second we investigate the entanglement distillability of tripartite mixed spin states under Lorentz transformations in the context of Werner states. We show that there are states that will change from distillable (entangled) into separable for a certain value of rapidity.

关键词： Wigner Rotation Bell’s Inequality Tripartite Entanglement

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