Investigating the implementation of restricted sets of multiqubit operations on distant qubits: a communication complexity perspective

TL;DR

This paper introduces a protocol enabling Alice to implement restricted multiqubit operations on distant qubits held by Bob, reducing communication resources and eliminating the need for prior entanglement, with a generalization to higher dimensions.

Contribution

The authors present a novel protocol that improves communication efficiency and removes the requirement for prior entanglement in implementing remote multiqubit operations.

Findings

Protocol requires less communication than previous methods.

No prior entanglement sharing needed for the protocol.

Generalization to d-dimensional quantum operations achieved.

Abstract

We propose a protocol for Alice to implement a multiqubit quantum operation from the restricted sets on distant qubits possessed by Bob, and then we investigate the communication complexity of the task in different communication scenarios. By comparing with the previous work, our protocol works without prior sharing of entanglement, and requires less communication resources than the previous protocol in the qubit-transmission scenario. Furthermore, we generalize our protocol to $d$-dimensional operations.