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quant-ph2026
Quantum Solvers for Nonlinear Matrix Equations in Quantum Chemistry
Pablo Rodenas-Ruiz, Andrew Zhao, Joonho Lee
We present a quantum algorithm for solving algebraic Riccati equations, with applications to quantum-chemical random-phase approximation (RPA) and higher-order RPA theories. Our me…
quant-ph2025
Quantum Circuits for the Metropolis-Hastings Algorithm
Baptiste Claudon, Pablo Rodenas-Ruiz, Jean-Philip Piquemal +1
Szegedy's quantization of a reversible Markov chain provides a quantum walk whose spectral gap is quadratically larger than that of the classical walk. Quantum computers are theref…