Experimental Test of Entangled Histories

Abstract

We propose and demonstrate experimentally a scheme to create entangled history states of the Greenberger-Horne-Zeilinger (GHZ) type. In our experiment, the polarization states of a single photon at three different times are prepared as a GHZ entangled history state. We define a GHZ functional which attains a maximum value $1$ on the ideal GHZ entangled history state and is bounded above by $1/16$ for any three-time history state lacking tripartite entanglement. We have measured the GHZ functional on a state we have prepared experimentally, yielding a value of $0.656\pm 0.005$, clearly demonstrating the contribution of entangled histories.

15 pages, 2 figures v. 2: 16 pages, 2 figures. Fundamental improvements to introduction, added references

References in corpus (26)

• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Leggett-Garg Inequalities
• Violation of a Leggett-Garg inequality with ideal non-invasive measurements
• Quantum Logic and the Histories Approach to Quantum Theory
• Quantum temporal logic and decoherence functionals in the histories approach to generalised quantum theory
• Violation of a temporal Bell inequality for single spins in solid by over 50 standard deviations
• Continuous Histories and the History Group in Generalised Quantum Theory
• Quantum correlations in the temporal CHSH scenario
• Entanglement Between Photons that have Never Coexisted
• Topos Theory and Consistent Histories: The Internal Logic of the Set of all Consistent Sets
• Quantifying Non-Markovianity with Temporal Steering
• Photon trajectories, anomalous velocities, and weak measurements: A classical interpretation
• Multiple-time states and multiple-time measurements in quantum mechanics
• Distinguishing quantum and classical transport through nanostructures
• Temporal steering and security of quantum key distribution with mutually-unbiased bases against individual attacks
• Quantum Entanglement in Time
• A macro-realism inequality for opto-electro-mechanical systems
• Leggett--Garg inequality violations with a large ensemble of qubits
• Conditions for the confirmation of three-particle non-locality
• The Leggett-Garg inequality in electron interferometers
• Temporal Steering in Four Dimensions with applications to coupled qubits and magnetoreception
• Entangled Histories
• Bell Tests for Histories
• Deccoherent Histories and Measurement of Temporal Correlation Functions for Leggett-Garg Inequalities
• Temporal Observables and Entangled Histories
• Entanglement Enabled Intensity Interferometry

Cited by in corpus (11)

• Superdensity Operators for Spacetime Quantum Mechanics
• Entangled Histories vs. the Two-State-Vector Formalism - Towards a Better Understanding of Quantum Temporal Correlations
• Dynamical nonlocality in quantum time via modular operators
• Experimentally demonstrating indefinite causal order algorithms to solve the generalized Deutsch's problem
• Comment on "Measurements without probabilities in the final state proposal"
• Temporal witnesses of non-classicality and conservation laws
• Greenberger-Horne-Zeilinger test for multi-dimension and arbitrary time nodes entangled histories
• Entanglement measures for two-particle quantum histories
• Entanglement of temporal sections as quantum histories and their quantum correlation bounds
• Theory of Quantum Path Entanglement and Interference with Multiplane Diffraction of Classical Light Sources
• What are temporal correlations