Structure theorem for quantum replacer codes

doi:10.1063/5.0280149

Structure theorem for quantum replacer codes

2025-12-01

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DOI：10.1063/5.0280149

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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.

Keywords:

CONDITIONAL EXPECTATIONS

ERASURE CONVERSION

FIDELITY

CHANNELS

Structure theorem for quantum replacer codes

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