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

Lorentz boosts applied to particles with spin and momentum degrees of freedom induce momentum-dependent rotations. As, in general, different particles have different momenta, the transformation of the whole state is not a representation of the rotation group. Here we identify the group that acts on...

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Bibliographic Details
Published in:Physica scripta 2015-06, Vol.90 (6), p.68018-8
Main Authors: Castro-Ruiz, Esteban, Nahmad-Achar, Eduardo
Format: Article
Language:English
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Summary:Lorentz boosts applied to particles with spin and momentum degrees of freedom induce momentum-dependent rotations. As, in general, different particles have different momenta, the transformation of 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 where 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 for the study of transformations of spin states under Lorentz boosts is proposed, which is a good candidate for use in building quantum communication protocols in relativistic scenarios.
ISSN:0031-8949
1402-4896
DOI:10.1088/0031-8949/90/6/068018