Entangled Histories

Abstract

We introduce quantum history states and their mathematical framework, thereby reinterpreting and extending the consistent histories approach to quantum theory. Through thought experiments, we demonstrate that our formalism allows us to analyze a quantum version of history in which we reconstruct the past by observations. In particular, we can pass from measurements to inferences about "what happened" in a way that is sensible and free of paradox. Our framework allows for a richer understanding of the temporal structure of quantum theory, and we construct history states that embody peculiar, non-classical correlations in time.

16 pages, 1 figure. v2: typo corrected, minor stylistic changes. v3: minor stylistic changes, final version for publication in Nobel Symposium NS 156

References in corpus (1)

• Alternative Decohering Histories in Quantum Mechanics

Cited by in corpus (22)

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• Entangled Histories vs. the Two-State-Vector Formalism - Towards a Better Understanding of Quantum Temporal Correlations
• Experimental Test of Entangled Histories
• Characterising the Hierarchy of Multi-time Quantum Processes with Classical Memory
• Nonlocal Position Changes of a Photon Revealed by Quantum Routers
• Quantum space-time marginal problem: global causal structure from local causal information
• Bell Tests for Histories
• Comment on "Measurements without probabilities in the final state proposal"
• The spatiotemporal doubled density operator: a unified framework for analyzing spatial and temporal quantum processes
• Spacetime Path Integrals for Entangled States
• Quantum Path Computing: Computing Architecture with Propagation Paths in Multiple Plane Diffraction of Classical Sources of Fermion and Boson Particles
• Greenberger-Horne-Zeilinger test for multi-dimension and arbitrary time nodes entangled histories
• Bell's theorem for trajectories
• Entanglement measures for two-particle quantum histories
• Unitary Evolutions Sourced By Interacting Quantum Memories: Closed Quantum Systems Directing Themselves Using Their State Histories
• Entanglement of temporal sections as quantum histories and their quantum correlation bounds
• A de Finetti theorem for quantum causal structures
• Time-System Entanglement and Special Relativity