Mixed State Variational Quantum Eigensolver for the Estimation of Expectation Values at Finite Temperature

Fuente: arXiv
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Auteur principal: Clemente, Giuseppe
Format: Preprint
Publié: 2024
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author Clemente, Giuseppe
author_facet Clemente, Giuseppe
contents We introduce a novel hybrid quantum-classical algorithm for the near-term computation of expectation values in quantum systems at finite temperatures. This is based on two stages: on the first one, a mixed state approximating a fiducial truncated density matrix is prepared through Variational Quantum Eigensolving (VQE) techniques; this is then followed by a reweighting stage where the expectation values for observables of interest are computed. These two stages can then be iterated again with different hyperparameters to achieve arbitrary accuracy. Resource and time scalability of the algorithm is discussed with a near-term perspective.
format Preprint
id arxiv_https___arxiv_org_abs_2401_17194
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Mixed State Variational Quantum Eigensolver for the Estimation of Expectation Values at Finite Temperature
Clemente, Giuseppe
Quantum Physics
High Energy Physics - Lattice
We introduce a novel hybrid quantum-classical algorithm for the near-term computation of expectation values in quantum systems at finite temperatures. This is based on two stages: on the first one, a mixed state approximating a fiducial truncated density matrix is prepared through Variational Quantum Eigensolving (VQE) techniques; this is then followed by a reweighting stage where the expectation values for observables of interest are computed. These two stages can then be iterated again with different hyperparameters to achieve arbitrary accuracy. Resource and time scalability of the algorithm is discussed with a near-term perspective.
title Mixed State Variational Quantum Eigensolver for the Estimation of Expectation Values at Finite Temperature
topic Quantum Physics
High Energy Physics - Lattice
url https://arxiv.org/abs/2401.17194