Cluster state generation with ageing qubits

TL;DR

This paper analyzes the relationship between qubit lifetime and the successful creation of cluster states for quantum computing, providing a scaling argument and reservoir size estimates.

Contribution

It introduces a simple scaling argument for qubit T2 times and estimates reservoir sizes needed for cluster state generation with low success probability.

Findings

Qubit lifetime T2 must meet certain bounds for effective cluster state creation.

Reservoir size estimates depend on the geometry and success probability of entangling operations.

Scaling laws relate qubit coherence times to cluster state geometries.

Abstract

Cluster states for measurement-based quantum computing can be created with entangling operations of arbitrary low success probability. This will place a lower bound on the minimum lifetime of the qubits used in the implementation. Here, we present a simple scaling argument for the T2 time of the qubits for various cluster state geometries, and we estimate the size of the qubit reservoir that is needed for the creation of mini-clusters.