Monte Carlo Simulation for Quantum Spin Systems

Quantum Monte Carlo Simulation

Contemporary scientific studies often rely on the understanding of complex quantum systems via computer simulation. This paper initiates the statistical study of quantum simulation and proposes a Monte Carlo method for estimating analytically intractable quantities. We derive the bias and variance for the proposed Monte Carlo quantum simulation estimator and establish the asymptotic theory for ...

Auxiliary-field Monte Carlo for quantum spin and boson systems

We describe an algorithm for the numerical simulation of quantum spin and boson systems. The method is based on the Trotter decomposition in imaginary time and a decoupling by auxiliary Ising spins. It can be applied, in principle, to arbitrary ~random! spin systems, however, in general it suffers from the ‘‘minus-sign problem.’’ This problem is absent in the case of the Ising model in a transv...

Quantum Monte Carlo simulation of spin-polarized tritium

I. Bešlić,1 L. Vranješ Markić,1,2 and J. Boronat3 1Faculty of Science, University of Split, HR-21000 Split, Croatia 2Institut für Theoretische Physik, Johannes Kepler Universität, A 4040 Linz, Austria 3Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Campus Nord B4-B5, E-08034 Barcelona, Spain Received 15 June 2009; revised manuscript received 15 September 2009;...

Quantum Monte Carlo Simulation of van der Waals Systems

Monte Carlo simulation of quantum computation∗

The many-body dynamics of a quantum computer can be reduced to the time evolution of non-interacting quantum bits in auxiliary fields by use of the Hubbard-Stratonovich representation of two-bit quantum gates in terms of one-bit gates. This makes it possible to perform the stochastic simulation of a quantum algorithm, based on the Monte Carlo evaluation of an integral of dimension polynomial in...