Fault tolerant quantum computation with very high threshold for loss errors

TL;DR

This paper demonstrates that topological fault-tolerant quantum computation schemes are highly robust against loss errors, tolerating rates up to nearly 25%, and remain effective even with combined loss and computational errors.

Contribution

It shows that topological FTQC schemes can withstand high loss rates and remain effective under combined error conditions, expanding their practical applicability.

Findings

Tolerance to loss rates up to 24.9%

Robustness against combined loss and computational errors

Performance retention under high error conditions

Abstract

Many proposals for fault tolerant quantum computation (FTQC) suffer detectable loss processes. Here we show that topological FTQC schemes, which are known to have high error thresholds, are also extremely robust against losses. We demonstrate that these schemes tolerate loss rates up to 24.9%, determined by bond percolation on a cubic lattice. Our numerical results show that these schemes retain good performance when loss and computational errors are simultaneously present.