Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance [PDF]
Quantum, 2020 Inspired by recent progress in quantum algorithms for ordinary and partial differential equations, we study quantum algorithms for stochastic differential equations (SDEs).
Dong An +5 more
semanticscholar +1 more source
Inclusion–exclusion principle for open quantum systems with bosonic bath
New Journal of Physics, 2021 We present two fast algorithms which apply inclusion–exclusion principle to sum over the bosonic diagrams in bare diagrammatic quantum Monte Carlo and inchworm Monte Carlo method, respectively.
Siyao Yang, Zhenning Cai, Jianfeng Lu
doaj +1 more source
Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications [PDF]
Annual Review of Condensed Matter Physics, 2018 Reliable simulations of correlated quantum systems, including high-temperature superconductors and frustrated magnets, are increasingly desired nowadays to further our understanding of essential features in such systems.
Zi-Xiang Li, H. Yao
semanticscholar +1 more source
Coupled Electron Ion Monte Carlo Calculations of Atomic Hydrogen [PDF]
, 2004 We present a new Monte Carlo method which couples Path Integral for finite temperature protons with Quantum Monte Carlo for ground state electrons, and we apply it to metallic hydrogen for pressures beyond molecular dissociation.
Ceperley, David M. +2 more
core +1 more source
The Coupled Electronic-Ionic Monte Carlo Simulation Method [PDF]
, 2002 Quantum Monte Carlo (QMC) methods such as Variational Monte Carlo, Diffusion Monte Carlo or Path Integral Monte Carlo are the most accurate and general methods for computing total electronic energies.
B. L. Hammond Jr. +35 more
core +2 more sources
Resolvendo a equação de Schrödinger utilizando procedimentos numéricos fundamentais
Química Nova, 2012 A combination of the variational principle, expectation value and Quantum Monte Carlo method is used to solve the Schrödinger equation for some simple systems.
Rogério Custodio +2 more
doaj +1 more source
Metropolis Methods for Quantum Monte Carlo Simulations [PDF]
, 2003 Since its first description fifty years ago, the Metropolis Monte Carlo method has been used in a variety of different ways for the simulation of continuum quantum many-body systems.
Ceperley, D. M.
core +3 more sources
Excited States with Selected Configuration Interaction-Quantum Monte Carlo: Chemically Accurate Excitation Energies and Geometries [PDF]
Journal of Chemical Theory and Computation, 2019 We employ quantum Monte Carlo to obtain chemically accurate vertical and adiabatic excitation energies, and equilibrium excited-state structures for the small, yet challenging, formaldehyde and thioformaldehyde molecules.
M. Dash +4 more
semanticscholar +1 more source
Experimental Monte Carlo Quantum Process Certification
Physical Review Letters, 2012 Experimental implementations of quantum information processing have now reached a level of sophistication where quantum process tomography is impractical. The number of experimental settings as well as the computational cost of the data post-processing now translates to days of effort to characterize even experiments with as few as 8 qubits. Recently a
Steffen, L. +4 more
openaire +4 more sources
Quantum-Enhanced Reinforcement Learning for Finite-Episode Games with Discrete State Spaces
Frontiers in Physics, 2018 Quantum annealing algorithms belong to the class of metaheuristic tools, applicable for solving binary optimization problems. Hardware implementations of quantum annealing, such as the quantum annealing machines produced by D-Wave Systems [1], have been ...
Florian Neukart +3 more
doaj +1 more source