21 citations · 46 across the 10 of their papers we have counts for
3 papers · 1 filter
Real-Space Chemistry on Quantum Computers: A Fault-Tolerant Algorithm with Adaptive Grids and Transcorrelated Extension
César Feniou, Christopher Cherfan, Julien Zylberman +3
First-quantized, real-space formulations of quantum chemistry on quantum computers are appealing: qubit count scales logarithmically with spatial resolution, and Coulomb operators…
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…
Quantum Speedup for Nonreversible Markov Chains
Baptiste Claudon, Jean-Philip Piquemal, Pierre Monmarché
Quantum algorithms can potentially solve a handful of problems more efficiently than their classical counterparts. In that context, it has been discussed that Markov chains problem…