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Variational dynamics as a ground-state problem on a quantum computer

Authors :
Stefano Barison
Filippo Vicentini
Ignacio Cirac
Giuseppe Carleo
Source :
Physical Review Research, Vol 4, Iss 4, p 043161 (2022)
Publication Year :
2022
Publisher :
American Physical Society, 2022.

Abstract

We propose a variational quantum algorithm to study the real-time dynamics of quantum systems as a ground-state problem. The method is based on the original proposal of Feynman and Kitaev to encode time into a register of auxiliary qubits. We prepare the Feynman-Kitaev Hamiltonian acting on the composed system as a qubit operator and find an approximate ground state using the variational quantum eigensolver. We apply the algorithm to the study of the dynamics of a transverse-field Ising chain with an increasing number of spins and time steps, proving a favorable scaling in terms of the number of two-qubit gates. Through numerical experiments, we investigate its robustness against noise, showing that the method can be used to evaluate dynamical properties of quantum systems and detect the presence of dynamical quantum phase transitions by measuring Loschmidt echoes.

Subjects

Subjects :
Physics
QC1-999

Details

Language :
English
ISSN :
26431564
Volume :
4
Issue :
4
Database :
Directory of Open Access Journals
Journal :
Physical Review Research
Publication Type :
Academic Journal
Accession number :
edsdoj.f422a51cb07449f8a4a70a94e24d0940
Document Type :
article
Full Text :
https://doi.org/10.1103/PhysRevResearch.4.043161