Non-abelian Gauge-Invariant Cellular Automata

被引：2

作者：

Arrighi, Pablo ^{[1
,2
]}

Di Molfetta, Giuseppe ^{[1
,3
,4
]}

Eon, Nathanael ^{[1
,5
]}

机构：

[1] Aix Marseille Univ, Univ Toulon, LIS, CNRS, Marseille, France

[2] IXXI, Lyon, France

[3] Univ Valencia, CSIC, Dept Fis Teor, Dr Moliner 50, Burjassot 46100, Spain

[4] Univ Valencia, CSIC, IFIC, Dr Moliner 50, Burjassot 46100, Spain

[5] Ecole Cent, Marseille, France

来源：

THEORY AND PRACTICE OF NATURAL COMPUTING, TPNC 2019 | 2019年 / 11934卷

关键词：

Cellular automata; Gauge-invariance; Quantum information;

D O I：

10.1007/978-3-030-34500-6_15

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Gauge-invariance is a mathematical concept that has profound implications in Physics-as it provides the justification of the fundamental interactions. It was recently adapted to the Cellular Automaton (CA) framework, in a restricted case. In this paper, this treatment is generalized to non-abelian gauge-invariance, including the notions of gauge-equivalent theories and gauge-invariants of configurations.

引用

页码：211 / 221

页数：11

共 11 条

[1] Quantum walks and non-Abelian discrete gauge theory [J].

Arnault, Pablo ;

Di Molfetta, Giuseppe ;

Brachet, Marc ;

Debbasch, Fabrice .

PHYSICAL REVIEW A, 2016, 94 (01)

[2]

Arrighi P, 2019, ARXIV190307007

[3] A Gauge-Invariant Reversible Cellular Automaton [J].

Arrighi, Pablo ;

Di Molfetta, Giuseppe ;

Eon, Nathanael .

CELLULAR AUTOMATA AND DISCRETE COMPLEX SYSTEMS, AUTOMATA 2018, 2018, 10875 :1-12

[4] Fault-tolerant quantum computation by anyons [J].

Kitaev, AY .

ANNALS OF PHYSICS, 2003, 303 (01) :2-30

[5] Non-Abelian anyons and topological quantum computation [J].

Nayak, Chetan ;

Simon, Steven H. ;

Stern, Ady ;

Freedman, Michael ;

Das Sarma, Sankar .

REVIEWS OF MODERN PHYSICS, 2008, 80 (03) :1083-1159

[6]

Quigg C., 2013, GAUGE THEORIES STRON

[7]

Salo V, 2013, LECT NOTES COMPUT SC, V8155, P139, DOI 10.1007/978-3-642-40867-0_10

[8]

Toffoli T., 1987, Cellular Automata Machines. A New Environment for Modeling

[9]

Toom A., 1990, NONLINEAR SCI THEORY

[10]

Toom A., 1995, TOPICS CONT PROBABIL, P117

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