Einstein-Podolsky-Rosen correlation in gravitational field

Abstract

For quantum communication in a gravitational field, the properties of the Einstein-Podolsky-Rosen (EPR) correlation are studied within the framework of general relativity. Acceleration and gravity are shown to deteriorate the perfect anti-correlation of an EPR pair of spins in the same direction, and apparently decrease the degree of the violation of Bell's inequality. To maintain the perfect EPR correlation and the maximal violation of Bell's inequality, observers must measure the spins in appropriately chosen different directions. Which directions are appropriate depends on the velocity of the particles, the curvature of the spacetime, and the positions of the observers. Near the event horizon of a black hole, the appropriate directions depend so sensitively on the positions of the observers that even a very small uncertainty in the identification of the observers' positions leads to a fatal error in quantum communication, unless the observers fall into the black hole together with the particles.

22 pages, 3 figures, several minor revisions are made

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• Teleportation with a uniformly accelerated partner
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• Entangled Light in Moving Frames
• Two roles of relativistic spin operators
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Cited by in corpus (48)

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• Quantum gravitational decoherence from fluctuating minimal length and deformation parameter at the Planck scale
• Spin and occupation number entanglement of Dirac fields for non-inertial observers
• Quantum correlations through event horizons: Fermionic versus bosonic entanglement
• Fermionic entanglement that survives a black hole
• Decoherence effects in non-classicality tests of gravity
• Population bound effects on bosonic correlations in non-inertial frames
• Entanglement of arbitrary spin fields in non-inertial frames
• Proof-of-Concept Experiments for Quantum Physics in Space
• Spin-Particles Entanglement in Robertson-Walker Spacetime
• Localized qubits in curved spacetimes
• Semiclassical analysis of Dirac fields on curved spacetime
• Spin decoherence by spacetime curvature
• Entanglement degradation as a tool to detect signatures of quantum gravity
• Geometric corrections to cosmological entanglement
• Bell-states diagonal entanglement witnesses for relativistic and non-relativistic multispinor systems in arbitrary dimensions
• WKB analysis of relativistic Stern-Gerlach measurements
• Lorentz symmetry breaking effects on relativistic EPR correlations
• The role of spin in entanglement generated by expanding spacetime
• Quantum nonlocality in extended theories of gravity
• Three-particle Bell-like inequalities under Lorentz transformations
• Complete complementarity relations in curved spacetimes
• Spin entanglement of two spin-1/2 particles in a classical gravitational field
• Imprints of screened dark energy on nonlocal quantum correlations
• Greenberger-Horne-Zeilinger correlation and Bell-type inequality seen from moving frame
• Gravitational Effects on Quantum Coherence in Neutrino Oscillation
• Wigner rotation via Fermi-Walker transport and relativistic EPR correlations in the Schwarzschild spacetime
• Entangled spinning particles in charged and rotating black holes
• The effect of time-dilation on Bell experiments in the retrocausal Brans model
• Kinetic Spin Decoherence in a Gravitational Field
• Relativistic three-partite non-locality
• Decoherence of a composite particle induced by a weak quantized gravitational field
• Detection of Gravitational Wave - An Application of Relativistic Quantum Information Theory
• The shadows of quantum gravity on Bell's inequality
• Interferometric Visibility in Curved Spacetimes
• Fresh look at the effects of gravitational tidal forces on a freely-falling quantum particle
• Relativistic quantum information theory and quantum reference frames
• One and two spin$-1/2$ particles systems under Lorentz transformations
• The Effect of Stationary Axisymmetric Spacetimes in Interferometric Visibility
• General Relativistic Center-of-Mass Coordinates for Composite Quantum Particles
• Analyzing performance of $f$-deformed displaced Fock state in continuous-variable quantum teleportation
• Unveiling quantum complementarity tradeoffs in relativistic scenarios
• Relativistic Quantum Communication
• The Sagnac effect for spin-$1/2$ particles through local Wigner rotations