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.
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Cite
@article{arxiv.2103.12636,
title = {Temporal teleportation with pseudo-density operators: how dynamics emerges from temporal entanglement},
author = {Chiara Marletto and Vlatko Vedral and Salvatore Virzì and Alessio Avella and Fabrizio Piacentini and Marco Gramegna and Ivo Pietro Degiovanni and Marco Genovese},
journal= {arXiv preprint arXiv:2103.12636},
year = {2021}
}
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preprint