Quantum Metropolis-Hastings is implemented in quantum circuits via penalized qubitized walks with spectral filtering, where specific modifications are shown to be essential for recovering correct stationary behavior.
The parametermcontrols the spectral resolution of the filtering step and thus di- rectly affects how accurately the stationary distribution can be reproduced
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Quantum Metropolis-Hastings via Penalised Qubitized Walks: Spectral Filtering and Circuit Implementation
Quantum Metropolis-Hastings is implemented in quantum circuits via penalized qubitized walks with spectral filtering, where specific modifications are shown to be essential for recovering correct stationary behavior.