Lorentz transformations for massive two-particle systems: entanglement change and invariant subspaces

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...

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Bibliographic Details
Published in:arXiv.org 2015-02
Main Authors: Castro-Ruiz, Esteban, Nahmad-Achar, Eduardo
Format: Article
Language:English
Subjects:
Invariants
Lorentz transformations
Momentum
Particle spin
Quantum entanglement
Quantum phenomena
Quantum theory
Relativism
Relativistic effects
Subspaces
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1502.01080