Relativistic entanglement in single-particle quantum states using Non-Linear entanglement witnesses

Abstract

In this study, the spin-momentum correlation of one massive spin-1/2 and spin-1 particle states, which are made based on projection of a relativistic spin operator into timelike direction is investigated. It is shown that by using Non-Linear entanglement witnesses (NLEWs), the effect of Lorentz transformation would decrease both the amount and the region of entanglement.

arXiv comment16 pages, 2 figures; to be published in Quantum Inf Process, 10.1007/s11128-011-0289-z (2011)

References in corpus (17)

• Separability Criterion for Density Matrices
• Separability of Mixed States: Necessary and Sufficient Conditions
• Bell Inequalities and the Separability Criterion
• Optimization of entanglement witnesses
• Quantum Entanglement of Moving Bodies
• Quantum entropy and special relativity
• Characterization of separable states and entanglement witnesses
• A Geometric Picture of Entanglement and Bell Inequalities
• Relativistic entanglement and Bell's inequality
• Lorentz-covariant reduced spin density matrix and EPR-Bohm correlations
• Optimal Entanglement Witnesses for Qubits and Qutrits
• Relativistic BB84, relativistic errors, and how to correct them
• A Robust Semidefinite Programming Approach to the Separability Problem
• Study of the Distillability of Werner States Using Entanglement Witnesses and Robust Semidefinite Programs
• Detecting three-qubit bound MUB diagonal entangled states via Nonlinear optimal entanglement witnesses
• Investigating a Class of $2\otimes 2\otimes d$ Chessboard Density Matrices via Linear and Non-linear Entanglement Witnesses Constructed by Exact Convex Optimization
• Teleportation seen from space-time