Flexible Fault Tolerant Gate Gadgets

TL;DR

This paper introduces flexible fault-tolerant gate gadgets enabling universal quantum computation on various codes, including non-additive ones, by allowing different encoding schemes for data and ancilla, and analyzing their robustness against different noise channels.

Contribution

It presents the first universal fault-tolerant gate set for non-additive quantum codes, using stabilizer codes for ancilla and supporting Clifford and non-Clifford gates.

Findings

Supports fault-tolerant Clifford and non-Clifford gates on generic codes.

Demonstrates fault tolerance against dephasing and depolarizing channels.

Enables flexible encoding schemes for data and ancilla.

Abstract

We design flexible fault tolerant gate gadgets that allow the data and the ancilla to be encoded using different codes. By picking a stabilizer code for the ancilla we are able to perform both Clifford and non-Clifford gates fault tolerantly on generic quantum codes, including both stabilizer and non-additive codes. This allows us to demonstrate the first universal fault tolerant gate set for non-additive codes. We consider fault tolerance both with respect to a dephasing channel and a depolarizing channel.