Measurement sequences for magic state distillation

TL;DR

This paper develops detailed measurement sequences for magic state distillation protocols that can suppress arbitrary errors on quantum states, assuming independent errors across qubits, enhancing error correction in quantum computing.

Contribution

It introduces measurement sequences for magic state distillation capable of suppressing arbitrary errors, improving robustness beyond Clifford-twirled error models.

Findings

Protocols operate on a 2D square grid using specific measurements.

Sequences can suppress arbitrary errors assuming independent errors.

Enhances error correction in quantum computing.

Abstract

Magic state distillation uses special codes to suppress errors in input states, which are often tailored to a Clifford-twirled error model. We present detailed measurement sequences for magic state distillation protocols which can suppress arbitrary errors on any part of a protocol, assuming the independence of errors across qubits. Provided with input magic states, our protocol operates on a two-dimensional square grid by measurements of $ZZ$ on horizontal pairs of qubits, $XX$ on vertical pairs, and $Z,X$ on single qubits.