Basis States for Relativistic, Dynamically-Entangled Particles
arXiv:quant-ph/0409204 · doi:10.1103/PhysRevA.71.022312
Abstract
In several recent papers on entanglement in relativistic quantum systems and relativistic Bell's inequalities, relativistic Bell-type two-particle states have been constructed in analogy to non-relativistic states. These constructions do not have the form suggested by relativistic invariance of the dynamics. Two relativistic formulations of Bell-type states are shown for massive particles, one using the standard Wigner spin basis and one using the helicity basis. The construction hinges on the use of Clebsch-Gordan coefficients of the Poincaré group to reduce the direct product of two unitary irreducible representations (UIRs) into a direct sum of UIRs.
19 pages, three tables, revtex
References in corpus (9)
- Quantum Information and Relativity Theory
- Quantum Entanglement of Moving Bodies
- Quantum entropy and special relativity
- Einstein-Podolsky-Rosen-Bohm experiment with relativistic massive particles
- Relativistic entanglement and Bell's inequality
- Relativistic Einstein-Podolsky-Rosen correlation and Bell's inequality
- Entangled Light in Moving Frames
- Time Asymmetric Quantum Theory - II. Relativistic Resonances from S-Matrix Poles
- Time Asymmetric Quantum Theory - III. Decaying States and the Causal Poincare Semigroup
Cited by in corpus (10)
- Einstein-Podolsky-Rosen correlations of Dirac particles - quantum field theory approach
- Galilean and Dynamical Invariance of Entanglement in Particle Scattering
- Relativistic Quantum Mechanics and Relativistic Entanglement in the Rest-Frame Instant Form of Dynamics
- Einstein-Podolsky-Rosen correlations of vector bosons
- Helicity correlations of vector bosons
- Dynamical Entanglement in Particle Scattering
- Bell's inequality with Dirac particles
- Relativistic diffusion of elementary particles with spin
- Limits on entanglement in rotationally-invariant scattering of spin systems
- Relativistic Entanglement from Relativistic Quantum Mechanics in the Rest-Frame Instant Form of Dynamics