Quantum Metropolis-Hastings algorithm

• URL: http://arxiv.org/abs/2503.14970v1
• Date: Wed, 19 Mar 2025 08:03:53 GMT
• Title: Quantum Metropolis-Hastings algorithm
• Authors: Jonathan E. Moussa,
• Abstract summary: I generalize the Metropolis-Hastings algorithm into a quantum algorithm that can equilibrate, measure, and mix a quantum thermal state on a quantum computer.<n>It performs non-symmetric transitions on labels of state preparation and measurement operations and rejects transitions using imprecise energies extracted by Gaussian-filtered quantum phase estimation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: I generalize the well-known classical Metropolis-Hastings algorithm into a quantum algorithm that can equilibrate, measure, and mix a quantum thermal state on a quantum computer. It performs non-symmetric transitions on labels of state preparation and measurement operations and rejects transitions using imprecise energies extracted by Gaussian-filtered quantum phase estimation.

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