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

Abstract

Lorentz transformation of 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 three-qubit GHZ state in 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 ultrarelativistic limit Bell's inequality is maximally violated for GHZ state.

4 pages

References in corpus (4)

• Quantum Entanglement of Moving Bodies
• Relativistically invariant quantum information
• Lorentz-invariant Bell's inequality
• Einstein-Podolsky-Rosen correlations and Galilean transformations

Cited by in corpus (9)

• Strange behavior of the relativistic Einstein-Podolsky-Rosen correlations
• Spin operator in the Dirac theory
• Three-particle Bell-like inequalities under Lorentz transformations
• Bell's inequality with Dirac particles
• Quantum nonlocality of massive qubits in a moving frame
• Spin Fidelity for Three-qubit Greenberger-Horne-Zeilinger and W States Under Lorentz Transformations
• Relativistic three-partite non-locality
• One and two spin$-1/2$ particles systems under Lorentz transformations
• Effect of Wigner rotation on estimating unitary-shift parameter of relativistic spin-1/2 particle