Quantum Correlations of Two Relativistic Spin- 1 2 $\frac {1}{2}$ Particles Under Noisy ChannelsQuantum Correlations of Two Relativistic Spin- 1 2 $\frac {1}{2}$ Particles Under Noisy Channels

M. Mahdian, B. Mojaveri, Alireza Dehghani +1 more

International Journal of Theoretical PhysicsJun 16, 20151 citation

Spin correlations in two-particle quantum systems

V.L. Lyboshitz, M.I. Podgoretsky

Physics of Atomic NucleiJan 1, 19972 citations

Relativistic Einstein-Podolsky-Rosen correlations for vector and tensor states

Paweł Caban, Jakub Rembieliński, Marta Włodarczyk

We calculate and investigate the relativistic correlation function for bipartite systems of spin- $1/2$ particles in vector states and spin- $1$ particles in tensor states. We show that the relativistic correlation function, which depends on particle momenta, may have local extrema. Furthermore, the momentum dependence of the correlation functions for two choices of the relativistic spin operator may be significantly different.We calculate and investigate the relativistic correlation function for bipartite systems of spin-$1/2$ particles in vector states and spin-$1$ particles in tensor states. We show that the relativistic correlation function, which depends on particle momenta, may have local extrema. Furthermore, the momentum dependence of the correlation functions for two choices of the relativistic spin operator may be significantly different.

arXiv:1011.5880Physical Review AMar 14, 20113 citations

Relativistic Description of Spin-1/2 Particles

Armin Wachter

Theoretical and mathematical physicsJan 1, 20100 citations

Spin quantum correlations of relativistic particles

Pablo L. Saldanha, Vlatko Vedral

We show that a pair of massive relativistic spin-1/2 particles prepared in a maximally entangled spin state in general is not capable of maximally violating the Clauser-Horne-Shimony-Holt (CHSH) version of Bell's inequalities without a postselection of the particles' momenta, representing a major difference in relation to nonrelativistic systems. This occurs because the quantization axis of the measurements performed on each particle depends on the particle velocity, such that it is not possible to define a reduced density matrix for the particles' spin. We also show that the amount of violation of the CHSH inequality depends on the reference frame and that in some frames the inequality may not be violated.We show that a pair of massive relativistic spin-1/2 particles prepared in a maximally entangled spin state in general is not capable of maximally violating the Clauser-Horne-Shimony-Holt (CHSH) version of Bell's inequalities without a postselection of the particles' momenta, representing a major difference in relation to nonrelativistic systems. This occurs because the quantization axis of the measurements performed on each particle depends on the particle velocity, such that it is not possible to define a reduced density matrix for the particles' spin. We also show that the amount of violation of the CHSH inequality depends on the reference frame and that in some frames the inequality may not be violated.

arXiv:1112.1272Physical Review AJun 1, 201234 citations

Quantum correlations in spin models

Guo-Feng Zhang, Heng Fan, Ai-Ling Ji +3 more

arXiv:1105.2866Annals of PhysicsMay 22, 201142 citations

Quantum Correlations of Two Relativistic Spin- 1 2

\frac {1}{2}

Particles Under Noisy Channels

We calculate and investigate the relativistic correlation function for bipartite systems of spin-

1/2

particles in vector states and spin-

1

particles in tensor states. We show that the relativistic correlation function, which depends on particle momenta, may have local extrema. Furthermore, the momentum dependence of the correlation functions for two choices of the relativistic spin operator may be significantly different.