2021/11/30 by Judah Unmuth-Yockey, Judah F. Unmuth-Yockey · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Combinatorics #Ground state #Hamiltonian (control theory) #Mathematical optimization #Mathematics #Observable #Partition (number theory) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum algorithm #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #hep-lat #quant-ph
paper · pdf · doi:10.1103/physrevd.105.034515
published in Physical review. D/Physical review. D. 105(3) (American Physical Society) · six pages, five figures
arxiv created 2022/02/10 · openalex publication_date 2022/02/25 · arxiv updated 2022/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a quantum algorithm to compute low-energy expectation values of a quantum Hamiltonian by sampling a partition function associated with the average energy of that Hamiltonian. For any given quantum circuit-Hamiltonian pair, there is an associated average energy. The sampling is done through an accept/reject Metropolis-style algorithm on the quantum gates of the circuit itself. Observables calculated under the canonical ensemble from these samples of circuits are extrapolated from higher-energies to the ground state.