Local implementations of non-local quantum gates in linear entangled channel

TL;DR

This paper presents a protocol for implementing non-local quantum gates in a linear entangled network, enabling remote control of quantum operations with minimal entanglement resources.

Contribution

It introduces a novel method for local implementation of non-local gates in linear entangled channels, including multi-party controlled gates and their generalization.

Findings

Successful implementation of controlled-Hermitian gate in three-party scenario

Generalization to n-party controlled-Unitary gates with minimal cost

Protocol efficiency in linear entangled quantum networks

Abstract

In this paper, we demonstrate n-party controlled unitary gate implementations locally on arbitrary remote state through linear entangled channel where control parties share entanglement with the adjacent control parties and only one of them shares entanglement with the target party. In such a network, we describe the protocol of simultaneous implementation of controlled-Hermitian gate starting from three party scenario. We also explicate the implementation of three party controlled-Unitary gate, a generalized form of Toffoli gate and subsequently generalize the protocol for n-party using minimal cost.