Relative resilience to noise of standard and sequential approaches to measurement-based quantum computation

TL;DR

This paper compares the noise resilience of standard and sequential measurement-based quantum computation models, finding that the sequential model often outperforms the standard in practical noisy conditions, with implications for experimental implementations.

Contribution

It provides the first detailed analysis of noise resilience differences between standard and sequential MBQC models under realistic noise conditions.

Findings

Sequential MBQC generally more noise-resilient than standard MBQC

Sequential model outperforms in universal quantum operations under noise

Benchmarks established for cavity-QED experimental scenarios

Abstract

A possible alternative to the standard model of measurement-based quantum computation (MBQC) is offered by the sequential model of MBQC -- a particular class of quantum computation via ancillae. Although these two models are equivalent under ideal conditions, their relative resilience to noise in practical conditions is not yet known. We analyze this relationship for various noise models in the ancilla preparation and in the entangling-gate implementation. The comparison of the two models is performed utilizing both the gate infidelity and the diamond distance as figures of merit. Our results show that in the majority of instances the sequential model outperforms the standard one in regard to a universal set of operations for quantum computation. Further investigation is made into the performance of sequential MBQC in experimental scenarios, thus setting benchmarks for possible cavity-QED implementations.