Small Binary Stabilizer Subsystem Codes

TL;DR

This paper creates a comprehensive database of all binary quantum stabilizer codes up to 9 qubits, classified under local Clifford permutation equivalence, aiding in the systematic study of quantum error correction.

Contribution

It provides the first complete classification database of small binary stabilizer codes under local Clifford permutation equivalence for n ≤ 9.

Findings

Complete enumeration of binary stabilizer codes for n ≤ 9.

Identification of equivalence classes under local Clifford permutations.

Facilitates future research in quantum error correction and code optimization.

Abstract

We establish a database consisting of a representative of every binary quantum stabilizer code under local Clifford permutation equivalence for $n\leq 9$.