Berlin 2005 – wissenschaftliches Programm

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Q: Quantenoptik und Photonik

Q 67: Quanteninformation IV

Q 67.2: Vortrag

Mittwoch, 9. März 2005, 11:15–11:30, HU 2002

Quantum Mechanics Helps: The Efficient Simulation of Quantum Random Systems — •Belén Paredes, Frank Verstraete, and J. Ignacio Cirac — Max-Planck- Institut für Quanteoptik , Hans-Kopfermann-Str. 1, Garching, D-85748, Germany

Quantum random systems are among the most interesting and challenging systems in condensed matter physics. However, many problems and questions regarding them remain open. This happens because the numerical simulation of such systems is a hard problem, since the number of simulations that one has to perform to simulate the randomness scales exponencially with the number of particles. We will present a novel algorithm for the efficient simulation of these systems. This algorithm makes full use of quantum mechanics, encoding all possible realizations of the classical random variable in a quantum superposition state of an auxiliary quantum system. We will show that by performing only one simulation in which this auxiliary system is put adiabatically in interaction with our actual system, one recovers the same information as by performing the exponentially large number of simulations with the "classical" method. We will present numerical simulations that confirm the efficiency of our method.