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Showing papers by "J. W. P. Hirschfeld published in 2023"


Journal ArticleDOI
TL;DR: In this article , the authors show how to determine the coefficients on the basis of kets in these states, using algebraic graph theory and quadratic forms, and the Arf invariant plays a significant role.
Abstract: Quantum codes are crucial building blocks of quantum computers. With a self-dual quantum code is attached, canonically, a unique stabilised quantum state. Improving on a previous publication, we show how to determine the coefficients on the basis of kets in these states. Two important ingredients of the proof are algebraic graph theory and quadratic forms. The Arf invariant, in particular, plays a significant role.