The Quantum States of a Graph

被引：0
|
作者：
Raza, Mohd Arif [1 ]
Alahmadi, Adel N. [2 ]
Basaffar, Widyan [2 ]
Glynn, David G. [3 ]
Gupta, Manish K. [4 ]
Hirschfeld, James W. P. [2 ]
Khan, Abdul Nadim [1 ]
Shoaib, Hatoon [2 ]
Sole, Patrick [5 ]
机构：
[1] King Abdulaziz Univ, Fac Sci & Arts Rabigh, Dept Math, Res Grp Algebra Struct & Applicat, Rabigh 21911, Saudi Arabia
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Res Grp Algebra Struct & Applicat, Jeddah 21589, Saudi Arabia
[3] Flinders Univ S Australia, Coll Sci & Engn, Adelaide, SA 5001, Australia
[4] Dhirubhai Ambani Inst Informat & Commun Technol, Gandhinagar 382007, Gujarat, India
[5] Aix Marseille Univ, CNRS, Cent Marseille, I2M, 163 Ave Luminy, F-13009 Marseilles, France
来源：
MATHEMATICS | 2023年 / 11卷 / 10期
关键词：
quantum state; graph; self-dual quantum code; Eulerian graph;
D O I：
10.3390/math11102310
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页数：13
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