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arXiv · 2306.12526

Quantum Weight Enumerators for Real Codes with $X$ and $Z$ Exactly Transversal

Eric Kubischta·Ian Teixeira·J. Maxwell Silvester
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Abstract

In this note we show that the weight enumerators of a real quantum error correcting code with $ X $ and $ Z $ exactly transversal must satisfy certain identities. One consequence of these identities is that if the code is error detecting then it is automatically error correcting for free; implying a relationship between transversality and code distance.

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Eric Kubischta, Ian Teixeira, J. Maxwell Silvester. 2023-06-21. Quantum Weight Enumerators for Real Codes with $X$ and $Z$ Exactly Transversal. https://arxiv.org/abs/2306.12526

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