Unified spatiotemporal quantum states and spatiotemporal entanglement from Kirkwood-Dirac phase space

arXiv:2609.24680 · quant-ph, gr-qc, hep-th · Submitted 2026-09-21 · Read on arXiv

quant-ph, gr-qc, hep-th

Submitted: 2026-09-21

Updated: 2026-09-21

Terminology

• Entanglement — 75× in this paper · explained in 4 episodes
• Trace — 34× in this paper · explained in 2 episodes
• Entanglement Entropy — 16× in this paper · explained in 2 episodes
• Generalization — 9× in this paper · explained in 13 episodes
• Hilbert Space — 9× in this paper · explained in 2 episodes
• Robustness — 9× in this paper · explained in 5 episodes
• Bayesian Inference — 3× in this paper · explained in 5 episodes
• Operator Entanglement — 3× in this paper · explained in 2 episodes
• Additivity — 2× in this paper · explained in 1 episode
• Causal Inference — 2× in this paper · explained in 4 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Algebraic Invariants — 1× in this paper · explained in 1 episode
• Axioms — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Homogeneity — 1× in this paper · explained in 2 episodes
• Quantum Physics — 1× in this paper · explained in 11 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Temporal Correlations — 1× in this paper · explained in 2 episodes
• Unitary Dynamics — 1× in this paper · explained in 2 episodes
• Wigner function — 1× in this paper · explained in 2 episodes

Sources

• The Two-State Vector Formalism of Qauntum Mechanics: an Updated Review
• Multiple-time states and multiple-time measurements in quantum mechanics
• Quantum correlations which imply causation
• On quantum states over time
• From time-reversal symmetry to quantum Bayes' rules
• Toward a general theory of quantum games
• Theoretical framework for quantum networks
• Quantum correlations with no causal order
• Superdensity Operators for Spacetime Quantum Mechanics
• The spatiotemporal doubled density operator: a unified framework for analyzing spatial and temporal quantum processes
• Temporal Kirkwood-Dirac Quasiprobability Distribution and Unification of Temporal State Formalisms through Temporal Bloch Tomography
• Temporal State Tomography via Quantum Snapshotting the Temporal Quasiprobabilities
• Unification of spatiotemporal quantum formalisms: mapping between process and pseudo-density matrices via multiple-time states
• Quantum space-time marginal problem: global causal structure from local causal information
• Properties and Applications of the Kirkwood-Dirac Distribution
• Quantum dynamics as a pseudo-density matrix
• Probing Quantum States over Spacetime Through Interferometry
• Observable and computable entanglement in time
• SVD Entanglement Entropy

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