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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 5: Quantum Information

MP 5.3: Vortrag

Dienstag, 16. März 2010, 17:35–18:00, JUR H

Quantum simulation of QFTs with discrete quantum systems — •Zoltan Zimboras, Michael Keyl, and Dirk-Michael Schlingemann — Quantum information group, ISI, Torino

Classical simulation of quantum many-body systems is usually very inefficient with long running times and with high needs for memory (e.g., it is not even possible to store classically the arbitrary state of 50 qubits). One might overcome these difficulities by using other quantum systems, similar to the one we want to study, as quantum simulators. Most of the efforts in this direction has been concentrated on simulating discrete quantum systems (e.g. spin chains) with other discrete quantum systems that are relatively easy to prepare in labs (ion traps, atoms in optical lattices, etc.). In this talk I will treat a different problem: How can we simulate a continuous quantum system (e.g. a QFT) with a discrete one? I will in particular show how (and in which sense) one can use the Holstein-Primakoff transformation to store continuous quantum information in a discrete quantum system, and after the storage how one can model the time-evolution of the continuous quantum system with a Quantum Cellular Automata action on the discrete system.