Dresden 2011 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 61: Quantum Information: Concepts and Methods 4

Q 61.6: Talk

Friday, March 18, 2011, 11:45–12:00, SCH A118

Classical simulation of dynamical quantum systems — •Robert Zeier — Technische Universität München, Department Chemie, Lichtenbergstr. 4, 85747 Garching

We propose Lie-algebraic methods to simulate unitary dynamics of closed quantum systems using classical computers. A wide range of approaches represent mixed quantum states and unitary transformations by explicit matrices which are assumed to be sparse. In contrast, we rely on direct computations in structure-constant Lie algebras where Lie-algebra elements are given as sparse vectors and the commutator is efficiently implemented while accounting for sparsity. Building on this representation, we present a method to compute the time evolution which avoids direct matrix exponentiation. We discuss the efficiency of our methods.