Structure theorem for quantum replacer codes Article Swipe
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Eric Chitambar
,
Sarah Hagen
,
David W. Kribs
,
Mike I. Nelson
,
Andrew Nemec
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1063/5.0280149
· OA: W4417513673
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1063/5.0280149
· OA: W4417513673
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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