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arXiv · 2505.06659

Structure Theorem for Quantum Replacer Codes

Eric Chitambar·Sarah Hagen·David W. Kribs·Mike I. Nelson·Andrew Nemec
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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.

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Eric Chitambar, Sarah Hagen, David W. Kribs, Mike I. Nelson, Andrew Nemec. 2025-05-10. Structure Theorem for Quantum Replacer Codes. https://doi.org/10.1063/5.0280149

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