Fault-tolerant quantum computation in concatenation of verified cluster states

TL;DR

This paper introduces a fault-tolerant quantum computation scheme using concatenated verified cluster states, achieving high noise thresholds without recovery operations, thus improving resource efficiency in quantum computing.

Contribution

It presents a novel concatenation method for verified cluster states in the cluster model, eliminating the need for recovery operations and enhancing noise tolerance.

Findings

Achieves a noise threshold of approximately 1%.

Constructs logical cluster states via post-selection without recovery.

Reduces resource divergence in fault-tolerant quantum computation.

Abstract

A novel scheme is presented for fault-tolerant quantum computation based on the cluster model. Some relevant logical cluster states are constructed in concatenation by post-selection through verification, without necessity of recovery operation, where a suitable code such as the Steane's 7-qubit code is adopted for transversal operations. This simple concatenated construction of verified cluster states achieves a high noise threshold ~1%, and restrains the divergence of resources.