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Low-Depth Quantum Metropolis Algorithm
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We construct a simple quantum version of the classical Metropolis algorithm to prepare and observe quantum thermal states. It induces both a quantum Markov chain that mixes the quantum thermal state and a classical Markov chain that mixes its observable measurements and enables a low-depth quantum circuit implementation. A Gaussian-filtered variant of quantum phase estimation enables thermalization times proportional to the reciprocal of temperature and the logarithm of biasing error. This matches the thermalization time of imaginary-time evolution, against which our algorithm performs favorably.
Forward citations
Cited by 2 Pith papers
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Super-bath Quantum Eigensolver
The authors propose the super-bath quantum eigensolver (SQE), a dissipation-based quantum algorithm that prepares ground states with polynomial resources whenever a physical sub-bath exists, and provide a rigorous err...
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Lindblad engineering for quantum Gibbs state preparation under the eigenstate thermalization hypothesis
A simplified Lindblad-based Gibbs state preparation protocol with local Pauli jumps is shown to mix polynomially under the eigenstate thermalization hypothesis, with numerical and noise-resilience analysis.
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