Quantum Neural Networks and Topological Quantum Field Theories

Marcianò，Antonino1,2; Chen，Deen3; Fabrocini，Filippo3,4; Fields，Chris5; Greco，Enrico6; Gresnigt，Niels7; Jinklub，Krid3; Lulli，Matteo8; Terzidis，Kostas3; Zappala，Emanuele9

2022-09-01

10.1016/j.neunet.2022.05.028

NEURAL NETWORKS   Impact Factor & Quartile

0893-6080

1879-2782

Our work intends to show that: (1) Quantum Neural Networks (QNNs) can be mapped onto spin-networks, with the consequence that the level of analysis of their operation can be carried out on the side of Topological Quantum Field Theory (TQFT); (2) A number of Machine Learning (ML) key-concepts can be rephrased by using the terminology of TQFT. Our framework provides as well a working hypothesis for understanding the generalization behavior of DNNs, relating it to the topological features of the graph structures involved.

Graph neural networks Quantum amplitude classifiers Quantum perceptron Topological quantum field theory Topological quantum neural networks

SCI ; EI

English

Others

National Natural Science Foundation of China[11875113];National Natural Science Foundation of China[12050410244];Fudan University[JJH1512105];Eesti Teadusagentuur[MOBJD679];Xi’an Jiaotong-Liverpool University[REF-18-02-03];

Computer Science ; Neurosciences & Neurology

Computer Science, Artificial Intelligence ; Neurosciences

WOS:000822992800008

PERGAMON-ELSEVIER SCIENCE LTD

20222612295187

Quantum theory ; Topology

Artificial Intelligence:723.4 ; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4 ; Quantum Theory; Quantum Mechanics:931.4

COMPUTER SCIENCE

2-s2.0-85132938862

Scopus

1.Center for Field Theory and Particle Physics & Department of Physics,Fudan University,Shanghai,Jingwan campus, Jingsan Rd,200433,China
2.Laboratori Nazionali di Frascati INFN,Frascati (Rome),Via Enrico Fermi, 54,00044,Italy
3.College of Design and Innovation,Tongji University,Shanghai,281 Fuxin Rd,200092,China
4.Institute for Computing Applications ”Mario Picone”,Italy National Research Council,Rome,Via dei Taurini, 19,00185,Italy
5.Allen Discovery Center,Tufts University,Medford,200 College Avenue,02155,United States
6.Department of Chemical and Pharmaceutical Sciences,University of Trieste,Trieste,Via Giorgieri, 1,34127,Italy
7.Department of Physics,Xi'an Jiaotong-Liverpool University,Suzhou,111 Ren'ai Rd,215123,China
8.Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,1088 Xueyuan Avenue,518055,China
9.Yale School of Medicine,Yale University,New HavenCT,06510,United States

Marcianò，Antonino,Chen，Deen,Fabrocini，Filippo,et al. Quantum Neural Networks and Topological Quantum Field Theories[J]. NEURAL NETWORKS,2022,153:164-178.

Marcianò，Antonino.,Chen，Deen.,Fabrocini，Filippo.,Fields，Chris.,Greco，Enrico.,...&Zappala，Emanuele.(2022).Quantum Neural Networks and Topological Quantum Field Theories.NEURAL NETWORKS,153,164-178.

Marcianò，Antonino,et al."Quantum Neural Networks and Topological Quantum Field Theories".NEURAL NETWORKS 153(2022):164-178.