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arXiv · 2103.12636

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

Chiara Marletto·Vlatko Vedral·Salvatore Virzì·Alessio Avella·Fabrizio Piacentini·Marco Gramegna·Ivo Pietro Degiovanni·Marco Genovese
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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.

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Chiara Marletto, Vlatko Vedral, Salvatore Virzì, Alessio Avella, Fabrizio Piacentini, Marco Gramegna, Ivo Pietro Degiovanni, Marco Genovese. 2021-03-23. Temporal teleportation with pseudo-density operators: how dynamics emerges from temporal entanglement. https://doi.org/10.1126/sciadv.abe4742

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