We study the entanglement generated between Dirac modes in a 2-dimensional
conformally flat Robertson-Walker universe. We find radical qualitative
differences between the bosonic and fermionic entanglement generated by the
expansion. The particular way in which fermionic fields get entangled encodes
more information about the underlying space-time than the bosonic case, thereby
allowing us to reconstruct the parameters of the history of the expansion. This
highlights the importance of bosonic/fermionic statistics to account for
relativistic effects on the entanglement of quantum fields.Comment: revtex4, 7 figures, I.F. previously published as Fuentes-Guridi and
Fuentes-Schuller. Journal reference update
We study the entanglement distillability of bipartite mixed states of two
modes of a free Dirac field as seen by two relatively accelerated parties. It
is shown that there are states that will change from distillable into separable
for a certain value of acceleration. We exemplify these criteria in the context
of Werner states.Comment: 6 pages, 1 figur
We study the entanglement between two modes of Dirac field in an expanding spacetime characterized by the Robertson-Walker metric. This spacetime model turns out to be asymptotically (in the remote past and far future regions) Minkowskian. Then, on the one hand we show entanglement creation between particles and anti-particles when passing from remote past to far future. On the other hand we show that particles entanglement in the remote past degrades into the far future. These effects are traced back to particles creation. In our analysis we highlight the role of spin (polarization) of particles and compare the results with those obtainable without accounting for it.
Lorentz transformation of the three-qubit Greenberger-Horne-Zeilinger ͑GHZ͒ state is studied. Also we obtain the relativistic spin joint measurement for the transformed state. Using these results it is shown that Bell's inequality is maximally violated for the three-qubit GHZ state in the relativistic regime. For ultrarelativistic particles we obtain the critical value for boost speed, which Bell's inequality is not violated for velocities smaller than this value. We also show that in the ultrarelativistic limit Bell's inequality is maximally violated for the GHZ state.
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