Cross-talk minimising stabilizers

TL;DR

This paper discusses methods to reduce cross-talk errors in stabilizer measurements for quantum states, especially in cluster states within optical lattices, by selecting appropriate stabilizer sets based on geometry.

Contribution

It introduces a simple algorithm to generate cross-talk free stabilizer subsets tailored to specific cluster state geometries.

Findings

Cross-talk mitigation depends on cluster geometry

A simple algorithm can generate cross-talk free stabilizer subsets

Partial reduction of measurement errors achieved

Abstract

Verification and characterisation of quantum states are crucial for the implementation of quantum information processing, especially for many-body systems such as cluster states in optical lattices. In theory, it is simple to estimate the distance of a state with a target cluster state by measurement of a set of suitable stabilizer operators. However, experimental non-idealities can lead to complications, in particular cross-talk in single site addressing and measurement. By making a suitable choice of stabilizer operator sets we may be able to reduce, but not eliminate, these cross-talk errors. The degree of cross-talk mitigation depends on the geometry of the cluster state and subsets of cross-talk free stabilizers can be generated for certain shapes using a simple algorithm.