The entanglement between the spins of a pair of particles may change because the spin and momentum become mixed when viewed by a moving observer [R. M. Gingrich and C. Adami, Phys. Rev. Lett. 89, 270402 (2002)]. In this paper, it is shown that, if the momenta are appropriately entangled, the entanglement between the spins of the Bell states can remain maximal when viewed by any moving observer. Based on this observation, a relativistic invariant protocol for quantum communication is suggested, with which the nonrelativistic quantum information theory could be invariantly applied to relativistic situations.
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Li et al. (2003) studied this question.
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