Structure Theorem for Quantum Replacer Codes
Quantum Physics
2025-12-23 v1 Mathematical Physics
math.MP
Abstract
Quantum replacer codes are codes that can be protected from errors induced by a given set of quantum replacer channels, an important class of quantum channels that includes the erasures of subsets of qubits that arise in quantum error correction. We prove a structure theorem for such codes that synthesizes a variety of special cases with earlier theoretical work in quantum error correction. We present several examples and applications of the theorem, including a mix of new observations and results together with some subclasses of codes revisited from this new perspective.
Cite
@article{arxiv.2505.06659,
title = {Structure Theorem for Quantum Replacer Codes},
author = {Eric Chitambar and Sarah Hagen and David W. Kribs and Mike I. Nelson and Andrew Nemec},
journal= {arXiv preprint arXiv:2505.06659},
year = {2025}
}
Comments
22 pages, 1 figure