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Schwinger model at finite temperature and density with beta VQE

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arxiv 2205.08860 v1 pith:MY3QTPCM submitted 2022-05-18 hep-lat hep-phhep-thnucl-thquant-ph

Schwinger model at finite temperature and density with beta VQE

classification hep-lat hep-phhep-thnucl-thquant-ph
keywords modelschwingervariationaldensityquantumtemperaturealgorithmbeta
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate a quantum gauge theory at finite temperature and density using a variational algorithm for near-term quantum devices. We adapt $\beta$-VQE to evaluate thermal and quantum expectation values and study the phase diagram for massless Schwinger model along with the temperature and density. By compering the exact variational free energy, we find the variational algorithm work for $T>0$ and $\mu>0$ for the Schwinger model. No significant volume dependence of the variational free energy is observed in $\mu/g \in[0, 1.4]$. We calculate the chiral condensate and take the continuum extrapolation. As a result, we obtain qualitative picture of the phase diagram for massless Schwinger model.

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  1. Gauge-invariant QMETTS with mutually unbiased physical bases for $Z_2$ lattice gauge theories at finite temperature and density

    quant-ph 2026-03 conditional novelty 7.0

    Introduces gauge-invariant QMETTS using mutually unbiased physical bases derived from stabilizer formalism for Z2 LGT at finite T and density, with single-shot sampling shown near-optimal and numerical validation in 1+1D.