Mahmoud Mahdian
University of Tabriz, Iran
Title: Quantum entanglement and quantum correlation of relativistic particles
Biography
Biography: Mahmoud Mahdian
Abstract
We show that the projections of a Relativistic Spin Operator (RSO) massive spin-½ particle on a world-vector which can be in time-like or null tetrad direction are proportional to the helicity or Bargman-Wigner (BW) qubit, respectively. Here we consider Lorentz transformations of spin-momentum correlation of one massive spin-½ and spin-1 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 (p1 and p2) for particle. Consequently, in 2D momentum subspace we describe the structure of one particle in terms of the two-qubit system. We present a new approach to quantification of relativistic entanglement based on Non-Linear Entanglement Witnesses (NLEWs), which is obtained by a new method of convex optimization. The effect of Lorentz transformation would decrease both the amount and the region of entanglement. We also study quantum correlation dynamics of two relativistic particles which is transmitted through noisy channels. We compare the Geometric Discord (GD) and quantum Discord (QD) of two relativistic particles under noisy channels. We find out QD and GD tend to death asymptotically but the Entanglement Sudden Death (ESD) occurs under noisy channels. Also, teleporting of two relativistic particles via noisy channels investigated and compare fidelity for various velocities of observers.