Relativity of quantum states in entanglement swapping: Violation of Bell's inequality with no entanglement
arXiv:1806.02407 · doi:10.1016/j.physleta.2020.126301
Abstract
The entanglement swapping protocol is analyzed in a relativistic setting, where shortly after the entanglement swapping is performed, a Bell violation measurement is performed. From an observer in the laboratory frame, a Bell violation is observed due to entanglement swapping taking place, but in a moving frame the order of the measurements is reversed, and a Bell violation is observed even though no entanglement is present. Although the measurement results are identical, the wavefunctions for the two frames are different--- one is entangled and the other is not. Furthermore, for boosts in a perpendicular direction, in the presence of decoherence, we show that a maximum Bell violation can occur across non-simultaneous points in time. This is a signature of entanglement that is spread across both space and time, showing both the non-local and non-simultaneous feature of entanglement.
References in corpus (32)
- Free-Space distribution of entanglement and single photons over 144 km
- Ground-to-satellite quantum teleportation
- Quantum Information and Relativity Theory
- Quantum correlations with no causal order
- Quantum teleportation using active feed-forward between two Canary Islands
- Testing spooky action at a distance
- Quantum Entanglement of Moving Bodies
- Experimental delayed-choice entanglement swapping
- Contextuality in Measurement-based Quantum Computation
- Cosmic Bell Test: Measurement Settings from Milky Way Stars
- Quantum correlations versus Multisimultaneity: an experimental test
- Computational power of correlations
- Fundamental quantum optics experiments conceivable with satellites -- reaching relativistic distances and velocities
- The contextual fraction as a measure of contextuality
- Experimental test of non-local quantum correlation in relativistic configurations
- Relativistic Quantum Teleportation with Superconducting Circuits
- Bounding the speed of `spooky action at a distance'
- Entanglement Between Photons that have Never Coexisted
- Teleportation in a non-inertial frame
- Delayed choice for entanglement swapping
- Bounding temporal quantum correlations
- Does entanglement depend on the timing of the impacts at the beam-splitters?
- Extraction of timelike entanglement from the quantum vacuum
- Teleportation of entanglement over 143 km
- Entangled Light in Moving Frames
- Delayed - Choice Entanglement - Swapping with Vacuum-One Photon Quantum States
- The speed of quantum information and the preferred frame: analysis of experimental data
- Classical interventions in quantum systems. II. Relativistic invariance
- Complementarity and Information in "Delayed-choice for entanglement swapping"
- Lorentz transformations of open systems
- On the spacetime geometry of quantum nonlocality
- On the Uncertainty of the Ordering of Nonlocal Wavefunction Collapse when Relativity is Considered
Cited by in corpus (5)
- Faraday imaging induced squeezing of a double-well Bose-Einstein condensate
- Quantum speed limit time in relativistic frame
- Comment on "Relativity of Quantum States in Entanglement Swapping: Violation of Bell's Inequality with no Entanglement"
- Does Quantum Information Require Additional Structure?
- Bundle Theoretic Descriptions of Massless Single-Particle State Spaces; How do we perceive a moving quantum particle