Optimizing local protocols implementing nonlocal quantum gates

TL;DR

This paper introduces an optimization method for local protocols implementing nonlocal quantum gates, reducing entanglement use in one-shot, deterministic settings with local operations and classical communication.

Contribution

It provides a novel optimization approach for nonlocal quantum gate protocols that minimizes entanglement consumption in a one-shot, deterministic framework.

Findings

Less entanglement needed than two-way teleportation protocols

Protocols are deterministic and use only one copy of entanglement

Optimization significantly reduces resource requirements

Abstract

We present a method of optimizing recently designed protocols for implementing an arbitrary nonlocal unitary gate acting on a bipartite system. These protocols use only local operations and classical communication with the assistance of entanglement, and are deterministic while also being "one-shot", in that they use only one copy of an entangled resource state. The optimization is in the sense of minimizing the amount of entanglement used, and it is often the case that less entanglement is needed than with an alternative protocol using two-way teleportation.