Print Email Facebook Twitter Classical and Quantum Simulation of Stoquastic Hamiltonian Systems Title Classical and Quantum Simulation of Stoquastic Hamiltonian Systems Author Stroeks, Maarten (TU Delft Applied Sciences) Contributor Terhal, B.M. (mentor) Degree granting institution Delft University of Technology Programme Applied Physics | Casimir Track Date 2020-08-18 Abstract Quantum systems are in general not e_ciently simulatable by classical means. If one wishes to determine (some of) the eigenvalues of a Hamiltonian H that is associated with a quantum system, there are two favoured strategies: Quantum simulation and quantum Monte Carlo schemes. The former strategy uses an experimentally well-controllable quantum system that emulates the system of interest, in a digital (i.e. universal) or analog manner. The latter, albeit with a limited range of applicability, uses classical stochastic processes to e_ciently obtain (often low-lying) eigenvalues of H. Quantum Monte Carlo methods may su_er from a sign problem when simulating fermionic or frustrated bosonic systems. This yields, for a given accuracy, a simulation time that scales exponentially in the system size and the inverse temperature. Subject Quantum MechanicsQuantum InformationStoquastic HamiltonianQuantum SimulationQuantum Phase EstimationQuantum Monte Carlo To reference this document use: http://resolver.tudelft.nl/uuid:c836e462-b80e-4bf0-b1cb-7805574ebd0d Part of collection Student theses Document type master thesis Rights © 2020 Maarten Stroeks Files PDF MScThesisMaartenStroeksFinal.pdf 2.3 MB Close viewer /islandora/object/uuid:c836e462-b80e-4bf0-b1cb-7805574ebd0d/datastream/OBJ/view