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.
Unlike the fidelity, it is sensitive to local discrepancies and therefore highlights misallocation of probability mass
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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.