Quantum Boltzmann Machine and Thermofield Dynamics

被引：0

作者：

Vinícius N. A. Lula-Rocha

Marco A. S. Trindade

J. David M. Vianna

机构：

[1] Latin American Quantum Computing Center,Atos

[2] Universidade do Estado da Bahia,Colegiado de Física, Departamento de Ciências Exatas e da Terra

[3] Instituto de Física,International Center for Condensed Matter Physics

[4] Universidade de Brasília,Instituto de Física

[5] Universidade Federal da Bahia Campus de Ondina,undefined

来源：

Brazilian Journal of Physics | 2023年 / 53卷

关键词：

Quantum Boltzmann machine; Thermofield Dynamics; Quantum machine learning; Quantum artificial intelligence;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We present models of quantum Boltzmann machines using Thermofield Dynamics formalism. Consequently it is possible to describe thermal states through pure states facilating the implementation of quantum machine learning in quantum computers. We develop two methods: one based on quantum fidelity and other based on quantum relative entropy. In both cases, we get exact analytic formula for derivatives, which can be obtained from measurements in quantum computers.

引用

共 17 条

[1]

Ackley DH(1985)A learning algorithm for Boltzmann machines Cogn. Sci. 9 147-169

[2]

Hinton GE(2018)Quantum Boltzmann machine Phys. Rev. X 8 02150-202

[3]

Sejnowski TJ(2017)Quantum machine learning Nature 549 195-undefined

[4]

Amin MH(2021)Variational quantum Boltzmann machines Quantum Mach. Intell. 3 7-undefined

[5]

Andriyash E(undefined)undefined undefined undefined undefined-undefined

[6]

Rolfe J(undefined)undefined undefined undefined undefined-undefined

[7]

Kulchytskyy B(undefined)undefined undefined undefined undefined-undefined

[8]

Melko R(undefined)undefined undefined undefined undefined-undefined

[9]

Biamonte J(undefined)undefined undefined undefined undefined-undefined

[10]

Wittek P(undefined)undefined undefined undefined undefined-undefined

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