Rewiring Stabilizer Codes

TL;DR

This paper introduces an algorithm for transforming stabilizer codes through projective measurements, enabling quantum information manipulation, error correction, and implementation of logical gates while preserving quantum data.

Contribution

It provides a method to construct measurements that map between arbitrary stabilizer codes, facilitating quantum operations and code switching.

Findings

Constructs measurement sequences for code transformations

Preserves quantum information during code switching

Enables implementation of Clifford gates and defect braiding

Abstract

We present an algorithm for manipulating quantum information via a sequence of projective measurements. We frame this manipulation in the language of stabilizer codes: a quantum computation approach in which errors are prevented and corrected in part by repeatedly measuring redundant degrees of freedom. We show how to construct a set of projective measurements which will map between two arbitrary stabilizer codes. We show that this process preserves all quantum information. It can be used to implement Clifford gates, braid extrinsic defects, or move between codes in which different operations are natural.