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

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 Schr\"odinger 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.