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A Note on Non-Additive Quantum Codes

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arxiv quant-ph/9703016 v1 pith:LJTX2LLX submitted 1997-03-10 quant-ph

Markus Grassl , Thomas Beth (Universitaet Karlsruhe) This is my paper · ORCID
classification quant-ph
keywords codeserasurespacecodenon-additivequantumresultingadditive
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A method to combine two quantum error-correcting codes is presented. Even when starting with additive codes, the resulting code might be non-additive. Furthermore, the notion of the erasure space is introduced which gives a full characterisation of the erasure-correcting capabilities of the codes. For the special case that the two codes are unitary images of each other, the erasure space and the pure erasure space of the resulting code can be calculated.

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Cited by 1 Pith paper

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  1. Transversal Gates in Nonadditive Quantum Codes

    quant-ph 2025-04 conditional novelty 7.0 of 10

    New nonadditive ((7,2,3)) and ((8,2,3)) codes are claimed to support transversal T, sqrt(T), and T^(1/4) gates, improving on the previous smallest examples.

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