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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 17: Quantum Information I

MP 17.2: Talk

Thursday, March 31, 2011, 10:10–10:30, 30.45: 201

Quantum fluctuators for simulating continuous quantum systems by discrete ones. — •Zoltan Kadar, Michael Keyl, and Zoltan Zimboras — Quantum Information Group, ISI, Torino, Italy

Classical simulation of quantum many-body systems is usually very inefficient with long running times and high needs for memory (e.g., it is not even possible to store classically the arbitrary state of 50 qubits). One might overcome these difficulties 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 ones that are relatively easy to prepare in the lab (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? In particular, I will show how (and in which sense) one can use the global quantum fluctuator observables of a discrete lattice system to store continuous quantum information. Finally, the question of how the stored state of a light field can be processed by operations on the discrete system is considered.