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

• URL: http://arxiv.org/abs/2103.12636v2
• Date: Wed, 7 Jul 2021 10:36:47 GMT
• Title: Temporal teleportation with pseudo-density operators: how dynamics emerges from temporal entanglement
• Authors: Chiara Marletto, Vlatko Vedral, Salvatore Virz\`i, Alessio Avella, Fabrizio Piacentini, Marco Gramegna, Ivo Pietro Degiovanni and Marco Genovese
• Abstract summary: We show that 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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