Automorphisms of stabilizer codes

Abstract

We study the automorphisms of binary stabilizer codes and states. We prove that they almost always form a solvable group, and thereby shed new light on the fact that there is no universal set of transversal gates. We also determine the connected component of the automorphism group.

13 pages, 2 figures

References in corpus (3)

• Subsystem stabilizer codes cannot have a universal set of transversal gates for even one encoded qudit
• Local unitary versus local Clifford equivalence of stabilizer and graph states
• Transversality versus Universality for Additive Quantum Codes