Time-reversal formalism applied to maximal bipartite entanglement: Theoretical and experimental exploration

Abstract

Within the context of quantum teleportation, a proposed interpretation of bipartite entanglement describes teleportation as consisting of a qubit of information evolving along and against the flow of time of an external observer. We investigate the physicality of such a model by applying time reversal to the Schrödinger equation in the teleportation context. To do so, we first present the theory of time reversal applied to the circuit model. We then show that the outcome of a teleportationlike circuit is consistent with the usual tensor product treatment and is therefore independent of the physical quantum system used to encode the information. Finally, we illustrate these concepts with a proof-of-principle experiment on a liquid-state NMR quantum-information processor. The experimental results are consistent with the interpretation that information can be seen as flowing backward in time through entanglement.

Entanglement and causality in the interaction of the two-level atom with the field

“…where x corresponds either to the transformation f (16) or to the transformation a (17). As we see, the evolution from ρ i af to ρ i * af corresponds to the interaction by JMC during a small period t in line with solution (11).…”

“…Although it is not very important for the scope of our work, note that weak causality admits the extraction of information from the future without well known classical paradoxes. The experimental possibility of the detection of such a time reversal phenomena was theoretically predicted by Elitzur and Dolev [16] and has really been proved for quantum teleportation [17,18], entanglement swapping [19,20] and macroscopic entanglement, e.g. [21].…”

Advanced response of Baikal macroscopic nonlocal correlation detector to solar activity

“…As the causes in these states are the random processes, such a time reversal causality does not imply the well-known classical paradoxes. It was experimentally demonstrated in the low-dimensional quantum systems [2][3][4][5].…”

Quantum mechanics of time travel through post-selected teleportation

“…Bennett and Schumacher have explored similar notions in unpublished work [24]. Laforest, Baugh, and Laflamme analyzed their proposal, its consistency with the tensor product structure, and a proof-of-principle experiment that tests the symmetry of information flow and of apparent causality breaking [25]. Coecke [26] studies the symmetry of information flow using entanglement as mediation, and interpreting entanglement as sending information back in time in such a way that the information sent back in time is altered depending on the outcome of a (future) Bell measurement.…”