Journal
ANNALS OF PHYSICS
Volume 363, Issue -, Pages 275-304Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2015.09.028
Keywords
Quantum mechanics; Relativity; Quantum information; Entanglement
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Funding
- Japan Society for the Promotion of Science (JSPS) [25-03757]
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We study the structure of maps that Lorentz boosts induce on the spin degree of freedom of a system consisting of two massive spin-1/2 particles. We consider the case where the spin state is described by the Werner state and the momenta are discrete. Transformations on the spins are systematically investigated in various boost scenarios by calculating the orbit and concurrence of the bipartite spin state with different kinds of product and entangled momenta. We confirm the general conclusion that Lorentz boosts cause non-trivial behavior of bipartite spin entanglement. Visualization of the evolution of the spin state is shown to be valuable in explaining the pattern of concurrence. The idealized model provides a basis of explanation in terms of which phenomena in systems involving continuous momenta can be understood. (C) 2015 Elsevier Inc. All rights reserved.
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