Efficient quantum circuits for one-way quantum computing

TL;DR

This paper presents efficient methods to generate cluster states directly using specific gates compatible with XY and Heisenberg models, enhancing the feasibility of one-way quantum computing in solid-state systems.

Contribution

It introduces direct generation techniques for cluster states using iSWAP and sqrt(SWAP) gates tailored for XY and Heisenberg interactions, respectively.

Findings

Cluster states can be generated efficiently with iSWAP and sqrt(SWAP) gates.

The approach simplifies implementation of one-way quantum computing in solid-state devices.

Enhances the practicality of quantum computing with natural solid-state interactions.

Abstract

While Ising-type interactions are ideal for implementing controlled phase flip gates in one-way quantum computing, natural interactions between solid-state qubits are most often described by either the XY or the Heisenberg models. We show an efficient way of generating cluster states directly using either the iSWAP gate for the XY model, or the $\sqrt{\rm SWAP}$ gate for the Heisenberg model. Our approach thus makes one-way quantum computing more feasible for solid-state devices.