Lorentz transformations for massive two-particle systems: entanglement change and invariant subspaces
arXiv:1502.01080 · doi:10.1088/0031-8949/90/6/068018
Abstract
Lorentz boosts on particles with spin and momentum degrees of freedom induce momentum-dependent rotations. Since, in general, different particles have different momenta, the transformation on the whole state is not a representation of the rotation group. Here we identify the group that acts on a two-particle system and, for the case when the momenta of the particles are correlated, find invariant subspaces that have interesting properties for quantum information processes in relativistic scenarios. A basis of states is proposed for the study of transformations of spin states under Lorentz boosts, which is a good candidate for building quantum communication protocols in relativistic scenarios.
17 pages, 7 figures
References in corpus (10)
- Quantum Information and Relativity Theory
- Quantum Entanglement of Moving Bodies
- Einstein-Podolsky-Rosen-Bohm experiment with relativistic massive particles
- Relativistic entanglement of two massive particles
- Physical interpretation of the Wigner rotations and its implications for relativistic quantum information
- Spin quantum correlations of relativistic particles
- Spin in relativistic quantum theory
- A new view on spin reduced density matrix for relativistic particles
- Entanglement properties of a two spin-one particle system under a Lorentz transformation
- Quantum and classical capacity boosted by a Lorentz transformation