Convex Optimization
New Optimization Algorithms in Physics
New Optimization Algorithms in Physics
On entanglement and Lorentz transformations
Quantum Information & Computation
Einstein-Podolsky-Rosen correlation seen from moving observers
Quantum Information & Computation
Relativistic entanglement in single-particle quantum states using non-linear entanglement witnesses
Quantum Information Processing
| Hi-index | 0.00 |
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.