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Journal Articles Mathematics Year : 2023

The Quantum States of a Graph

Mohd Arif Raza
Widyan Basaffar
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  • PersonId : 1093911
Dav G Glynn
Abdul Nadim Khan
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Hatoon Shoaib
Patrick Solé
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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.
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hal-04098428 , version 1 (16-05-2023)





Mohd Arif Raza, Adel N Alahmadi, Widyan Basaffar, Dav G Glynn, Manish K Gupta, et al.. The Quantum States of a Graph. Mathematics , 2023, 11, ⟨10.3390/math11102310⟩. ⟨hal-04098428⟩
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