Temporal teleportation with pseudo-density operators: how dynamics emerges from temporal entanglement

Abstract

We show that, by utilising temporal quantum correlations as expressed by pseudo-density operators (PDOs), it is possible to recover formally the standard quantum dynamical evolution as a sequence of teleportations in time. We demonstrate that any completely positive evolution can be formally reconstructed by teleportation with different temporally correlated states. This provides a different interpretation of maximally correlated PDOs, as resources to induce quantum time-evolution. Furthermore, we note that the possibility of this protocol stems from the strict formal correspondence between spatial and temporal entanglement in quantum theory. We proceed to demonstrate experimentally this correspondence, by showing a multipartite violation of generalised temporal and spatial Bell inequalities and verifying agreement with theoretical predictions to a high degree of accuracy, in high-quality photon qubits.

arXiv commentpreprint

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• Unification of spatiotemporal quantum formalisms: mapping between process and pseudo-density matrices via multiple-time states
• Quantum Causal Inference with Extremely Light Touch
• Certifying Quantum Temporal Correlation via Randomized Measurements: Theory and Experiment
• Quantum dynamics as a pseudo-density matrix
• Multipartite quantum states over time from two fundamental assumptions
• Certifying Temporal Correlations
• Entanglement of temporal sections as quantum histories and their quantum correlation bounds