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Simulating $\mathbb{Z}_2$ Lattice Gauge Theory with the Variational Quantum Thermalizer
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The properties of strongly-coupled lattice gauge theories at finite density as well as in real time have largely eluded first-principles studies on the lattice. This is due to the failure of importance sampling for systems with a complex action. An alternative to evade the sign problem is quantum simulation. Although still in its infancy, a lot of progress has been made in devising algorithms to address these problems. In particular, recent efforts have addressed the question of how to produce thermal Gibbs states on a quantum computer. In this study, we apply a variational quantum algorithm to a low-dimensional model which has a local abelian gauge symmetry. We demonstrate how this approach can be applied to obtain information regarding the phase diagram as well as unequal-time correlation functions at non-zero temperature.
Forward citations
Cited by 3 Pith papers
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A variational quantum thermalizer that alternates unitary gates with weakly-symmetric multi-qubit dissipative operations prepares Gibbs states of spin models with high numerical fidelity at all temperatures.
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