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

TL;DR

This paper demonstrates that quantum dynamics can be interpreted as a sequence of teleportations in time using pseudo-density operators, supported by experimental violation of temporal and spatial Bell inequalities.

Contribution

It introduces a novel interpretation of quantum evolution through temporal teleportation via pseudo-density operators, linking spatial and temporal entanglement.

Findings

Formal reconstruction of quantum evolution using teleportation with temporal correlations.

Experimental violation of generalized temporal and spatial Bell inequalities.

High-accuracy verification with photon qubits.

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.