Hamiltonian simulation in the Pauli basis of multi-qubit clusters for condensed matter physics


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Abstract

We propose an efficient method for Hamiltonian simulation of multi-qubit quantum systems with special types of interaction. In our approach, the Hamiltonian of a

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1. Introduction In recent decades, effective mathematical methods and computational algorithms have been developed to simulate the dynamics of quantum systems and their thermodynamic properties on classical computers. It is believed that classical modeling of quantum systems, at least in quantum computation and chemical physics [1, 2], is potentially the shortest path to substantive quantum algorithms. In quantum information and condensed matter physics, the Hamiltonian simulation is one of the most important problems [3-5]. This problem can be mathematically formulated as the task of computing, exactly © André E.L., Tsirulev A.N., 2023 This work is licensed under a Creative Commons Attribution 4.0 International License https://creativecommons.org/licenses/by-nc/4.0/legalcode or approximately, the operator exponential exp(
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About the authors

Eduardo L. André

Agostinho Neto University; Tver State University

Email: lumonansoni@gmail.com
SPIN-code: 0000-0002-0697-1639
PhD student, Department of Applied Physics, Tver State University 7, Avenida 4 de Fevereiro, Luanda, Angola; 35, Sadovyi, Tver, 170002, Russian Federation

Alexander N. Tsirulev

Tver State University

Email: tsirulev.an@tversu.ru
SPIN-code: 0000-0003-4168-3613, Scopus Author ID: 16409936300
Doctor of Sciences in Physics and Mathematics, Professor of the Department of General Mathematics and Mathematical Physics 35, Sadovyi, Tver, 170002, Russian Federation

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Copyright (c) 2023 André E.L., Tsirulev A.N.

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