The 39th International Symposium on Lattice Field Theory (Lattice 2022)

T-mu phase diagram using classical-quantum hybrid algorithm

11 Aug 2022, 12:30

20m

CP1-HSZ/1.004 (CP1-HSZ) - HS7 (CP1-HSZ)

Oral Presentation Algorithms (including Machine Learning, Quantum Computing, Tensor Networks) Algorithms

Speaker

Akio Tomiya (IPUT Osaka)

Description

We report results on the Schwinger model at finite temperature and density using a variational algorithm for near-term quantum devices. We adapt β-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 μ>0. As a result, we obtain a qualitative picture of the phase diagram for the massless Schwinger model. This talk is based on arXiv:2205.08860.

Presentation materials

Lattice2022_tomiya_v5.pdf