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

Abstract

Within the context of quantum teleportation, a proposed intuitive model to explain bipartite entanglement describes the scheme as being the same 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 the time-reversal of the Schrodinger equation in the teleportation context. To do so, we first lay down the theory of time-reversal applied to the circuit model and then show that the outcome of a teleportation-like circuit is consistent with the usual tensor product treatment, thus independent of the physical quantum system used to encode the information. Finally, we demonstrate 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.

arXiv comment10 pages, 16 figures, changed the approach in the theory section. Rewrote some sections for clarity

References in corpus (10)

• Simple Proof of Security of the BB84 Quantum Key Distribution Protocol
• Quantum Teleportation is a Universal Computational Primitive
• Separability of very noisy mixed states and implications for NMR quantum computing
• Complete quantum teleportation using nuclear magnetic resonance
• Quantum Algorithms: Entanglement Enhanced Information Processing
• Algorithmic Cooling and Scalable NMR Quantum Computers
• Quantum Entanglement and Communication Complexity
• Quantum simulation of a three-body interaction Hamiltonian on an NMR quantum computer
• Realizing the quantum baker's map on an NMR quantum computer
• Compiling gate networks on an Ising quantum computer

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• Quantum Picturalism
• Closed timelike curves via post-selection: theory and experimental demonstration
• The quantum mechanics of time travel through post-selected teleportation
• Bidirectional imperfect quantum teleportation with a single Bell state
• Time-asymmetry of probabilities versus relativistic causal structure: an arrow of time
• Exploring postselection-induced quantum phenomena with time-bidirectional state formalism