The Quantum States of a Graph

Mohd Arif Raza; Adel N. Alahmadi; Widyan Basaffar; David G. Glynn; Manish K. Gupta; James W. P. Hirschfeld; Abdul Nadim Khan; Hatoon Shoaib; Patrick Solé

doi:10.3390/math11102310

The Quantum States of a Graph

Mohd Arif Raza, Adel N. Alahmadi, Widyan Basaffar, David G. Glynn, Manish K. Gupta, James W. P. Hirschfeld, Abdul Nadim Khan, Hatoon Shoaib, Patrick Solé

College of Science and Engineering

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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.

Original language	English
Article number	2310
Number of pages	13
Journal	Mathematics
Volume	11
Issue number	10
DOIs	https://doi.org/10.3390/math11102310
Publication status	Published - 16 May 2023

Keywords

quantum state
graph
self-dual quantum code
Eulerian graph

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10.3390/math11102310Licence: CC BY

Final published versionFinal published version, 321 KBLicence: CC BY

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AU - Hirschfeld, James W. P.

AU - Khan, Abdul Nadim

AU - Shoaib, Hatoon

AU - Solé, Patrick

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The Quantum States of a Graph

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Keywords

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