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Quantifying entanglement of two relativistic particles using optimal entanglement witness

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Abstract

In a recent paper, it was shown that the projections of a relativistic spin operator (RSO) massive spin-\({\frac{1}{2}}\) particle on a world-vector which can be in timelike or null tetrad direction are proportional to the helicity or Bargman-Wigner (BW) qubit, respectively. Here we consider Lorentz transformations of two-particle states, which have been constructed both in helicity basis. For convenience, instead of using the superposition of momenta we use only two momentum eigenstates (p 1 and p 2) for each particle. Consequently, in 2D momentum subspace we describe the structure of one particle in terms of the four-qubit system. We present a new approach to quantification of relativistic entanglement based on entanglement witness (EW), which is obtained by a new method of convex optimization. In addition, Lorentz invariance of entanglement using BW qubit is also studied.

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Authors and Affiliations

  1. Department of Theoretical Physics and Astrophysics, University of Tabriz, 51664, Tabriz, Iran

    M. A. Jafarizadeh & M. Mahdian

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  1. M. A. Jafarizadeh
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  2. M. Mahdian
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Correspondence to M. A. Jafarizadeh.

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Jafarizadeh, M.A., Mahdian, M. Quantifying entanglement of two relativistic particles using optimal entanglement witness. Quantum Inf Process 10, 501–518 (2011). https://doi.org/10.1007/s11128-010-0206-x

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