PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Algorithms
T-mu phase diagram using classical-quantum hybrid algorithm
A. Tomiya
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Pre-published on: January 06, 2023
Published on: April 06, 2023
We study the Schwinger model at finite temperature and density using a variational algorithm for near-term quantum devices. We adapt $\beta$-VQE, a classical-quantum hybrid algorithm with a neural network, to evaluate thermal and quantum expectation values and study the phase diagram for the massless Schwinger model along with the temperature and density. By comparing the exact variational free energy, we find that the variational algorithm works for the Schwinger model for $T>0$ and $\mu$>0. As a result, we obtain a qualitative picture of the phase diagram for the massless Schwinger model.
DOI: https://doi.org/10.22323/1.430.0039
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