Spin networks and anyonic topological computing

被引：4

作者：

Kauffman, Louis H. ^{[1
]}

Lomonaco, Samuel J., Jr. ^{[2
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci, MC 249,851 S Morgan St, Chicago, IL 60607 USA

[2] Univ Maryland, Dept Comp Sci & Elect Engn, Baltimore, MD 21250 USA

来源：

QUANTUM INFORMATION AND COMPUTATION IV | 2006年 / 6244卷

关键词：

braiding; knotting; linking; spin network; Temperley - Lieb algebra; unitary representation;

D O I：

10.1117/12.666291

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We review the q-deformed spin network approach to Topological Quantum Field Theory and apply these methods to produce unitary representations of the braid groups that are dense in the unitary groups.

引用

页数：12

共 50 条

[41] Globally symmetric topological phase: from anyonic symmetry to twist defect
Teo, Jeffrey C. Y.
[J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 2016, 28 (14)
[42] Cognitive Computing with Spin-Based Neural Networks
Sharad, Mrigank
Augustine, Charles
Panagopoulos, Georgios
Roy, Kaushik
[J]. 2012 49TH ACM/EDAC/IEEE DESIGN AUTOMATION CONFERENCE (DAC), 2012, : 1258 - +
[43] Measurement-only topological quantum computation via anyonic interferometry
Bonderson, Parsa
Freedman, Michael
Nayak, Chetan
[J]. ANNALS OF PHYSICS, 2009, 324 (04) : 787 - 826
[44] Transport in the Laughlin quasiparticle interferometer: Evidence for topological protection in an anyonic qubit
Camino, F. E.
Zhou, W.
Goldman, V. J.
[J]. PHYSICAL REVIEW B, 2006, 74 (11):
[45] Elaborating the phase diagram of spin-1 anyonic chains
Vernier, Eric
Jacobsen, Jesper Lykke
Saleur, Hubert
[J]. SCIPOST PHYSICS, 2017, 2 (01):
[46] BRAIDING AND ENTANGLEMENT IN SPIN NETWORKS: A COMBINATORIAL APPROACH TO TOPOLOGICAL PHASES
Kadar, Zoltan
Marzuoli, Annalisa
Rasetti, Mario
[J]. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2009, 7 : 195 - 203
[47] Anyonic spin-Hall effect on the black hole horizon
Marsot, L.
Zhang, P-M
Horvathy, P. A.
[J]. PHYSICAL REVIEW D, 2022, 106 (12)
[48] On computing some degree based topological indices for backbone DNA networks
Kiran Naz
Sarfraz Ahmad
Muhammad Kamran Siddiqui
Hafiz Muhammad Bilal
Muhammad Imran
[J]. Journal of Applied Mathematics and Computing, 2023, 69 : 3189 - 3204
[49] Computing Some Degree-Based Topological Indices of Honeycomb Networks
Gu, Lili
Yousaf, Shamaila
Bhatti, Akhlaq Ahmad
Xu, Peng
Aslam, Adnan
[J]. COMPLEXITY, 2022, 2022
[50] On computing some degree based topological indices for backbone DNA networks
Naz, Kiran
Ahmad, Sarfraz
Siddiqui, Muhammad Kamran
Bilal, Hafiz Muhammad
Imran, Muhammad
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (04) : 3189 - 3204

← 1 2 3 4 5 →