# Relativistic quantum nonlocality for the three-qubit Greenberger-Horne-Zeilinger state

@article{Moradi2008RelativisticQN, title={Relativistic quantum nonlocality for the three-qubit Greenberger-Horne-Zeilinger state}, author={Shahpoor Moradi}, journal={Physical Review A}, year={2008}, volume={77}, pages={024101} }

Lorentz transformation of the three-qubit Greenberger-Horne-Zeilinger (GHZ) 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…

## 12 Citations

Frame Independent Nonlocality for Three Qubit State

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- 2010

Bell’s inequality is investigated for the three qubit GHZ state in relativistic regime. Two different relativistic spin operator are considered. One of them is defined by Lee and Ee (New J. Phys.…

Spin Fidelity for Three-Qubit Greenberger-Horne-Zeilinger and W States Under Lorentz Transformations

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Constructing the reduced density matrix for a system of three massive spin-$\frac{1}{2}$ particles described by a wave packet with Gaussian momentum distribution and a spin part in the form of GHZ or…

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We perform numerical tests on quantum nonlocality of two-level quantum systems (qubits) observed by a uniformly moving observer. Under a suitable momentum setting, the quantum nonlocality of…

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In this letter we show that in the relativistic regime, maximally entangled state of two spin-1/2 particles not only gives maximal violation of the Bell-CHSH inequality but also gives the largest…

Tripartite Entanglement and Lorentz Transformation

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- 2014

Entanglement of tripartite spin states under Lorentz transformations is studied in the context of Bell’s inequality and positive partial transpose criterion. First the relativistic analogue of Bell’s…

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It is found that, regardless of the particles’ type of entanglement, violation of Svetlichny’s inequality in the moving frame is decreased by increasing the boost velocity and the energy of particles in the laboratory frame, in the relativistic regime.

RELATIVISTIC ENTANGLEMENT FOR SPINS AND MOMENTA OF A MASSIVE THREE-PARTICLE SYSTEM

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- 2011

Lorentz transformation of the spin density matrix as well as the momentum density matrix for a quantum system of three massive spin-1/2 particles that have an appropriate discrete momentum…

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- Physics
- 2015

Bell-like inequalities have been used in order to distinguish non-local quantum pure states by various authors. The behavior of such inequalities under Lorentz transformation has been a source of…

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- Physics, Computer ScienceQuantum Inf. Process.
- 2012

In the rest frame of an observer, a moving system of three spin massive particles described by a Gaussian momentum distributed wave packet, is considered, and the W spin entanglement in this case is Lorentz invariant.

Bell’s inequality with Dirac particles

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- 2009

We study Bell’s inequality using the Bell states constructed from four component Dirac spinors. Spin operator is related to the Pauli-Lubanski pseudo vector which is relativistic invariant operator.…

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