Fault-Tolerant Topological One-Way Quantum Computation with Probabilistic Two-Qubit Gates

TL;DR

This paper introduces a scalable method for fault-tolerant topological one-way quantum computation using probabilistic two-qubit gates, achieving robustness even with low success probabilities and minimal resource overhead.

Contribution

It presents a novel construction of 3D cluster states for fault-tolerant TOWC that works with low success probabilities of two-qubit gates, reducing resource requirements.

Findings

Fault-tolerant TOWC feasible with 50% success probability of gates

Conditional error probability must be below 0.040% for fault tolerance

Resource usage is significantly reduced compared to traditional schemes

Abstract

We propose a scalable way to construct a 3D cluster state for fault-tolerant topological one-way computation (TOWC) even if the entangling two-qubit gates succeed with a small probability. It is shown that fault-tolerant TOWC can be performed with the success probability of the two-qubit gate such as 0.5 (0.1) provided that the conditional error probability of the two-qubit gate is less than 0.040% (0.016%). Furthermore, the resource usage is considerably suppressed compared to the conventional fault-tolerant schemes with probabilistic two-qubit gates.