Optimizing bidirectional quantum teleportation

Presenting Author: Aliza Siddiqui, Louisiana State University
Contributing Author(s): Sumeet Khatri, Mark M. Wilde

The goal of bidirectional teleportation is to exchange qubits between spatially separated parties by means of local operations and classical communication (LOCC) and using as little entanglement as possible. The ideal outcome of such a protocol is that the two parties simulate a SWAP gate. Previous implementations of bidirectional teleportation have been proposed in prior work, including that of Kiktenko et al. [arXiv:1602.01420]. In this work, we calculate how well these previous proposals perform at the bidirectional teleportation task. We also show how to interpolate between perfect bidirectional teleportation and the scheme of Kiktenko et al. As another contribution, we find a method for simulating the protocol of Kiktenko et al. that consumes less entanglement than that consumed in their scheme. Finally, we show that optimizing the error when simulating a SWAP gate from an arbitrary bipartite resource state and PPT operations is a semi-definite program, which we can use to estimate the performance of bidirectional teleportation for a variety of example bipartite states.

(Session 5 : Saturday from 5:00pm - 7:00pm)


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