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SYLG: Symposium Quantum Simulators of Lattice Gauge Theories

SYLG 1: Symposium Quantum Simulators of Lattice Gauge Theories

SYLG 1.2: Invited Talk

Friday, March 10, 2017, 11:30–12:00, P 1

Quantum Simulations with Cold Trapped IonsEsteban A. Martinez1, Christine A. Muschik2,3, Philipp Schindler1, Daniel Nigg1, Alexander Erhard1, Markus Heyl2,4, Philipp Hauke2,3, Marcello Dalmonte2,3, Thomas Monz2,3, Peter Zoller1,2, and •Rainer Blatt1,21Institut für Experimentalphysik, Universität Innsbruck — 2Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, Innsbruck — 3Institut für Theoretische Physik, Universität Innsbruck — 4Physik Department, Technische Universität München

The quantum toolbox of the Innsbruck ion-trap quantum computer is applied to simulate the dynamics and to investigate the propagation of entanglement in a quantum many-body system represented by long chains of trapped-ion qubits [1]. Moreover, using the quantum toolbox operations, universal (digital) quantum simulation was realized with a string of trapped ions [2]. Here we report the experimental demonstration of a digital quantum simulation of a lattice gauge theory, by realizing (1 + 1)-dimensional quantum electrodynamics (the Schwinger model) on a few-qubit trapped-ion quantum computer [3]. We map the original problem to a spin model by eliminating the gauge fields in favor of exotic long-range interactions, which can be directly and efficiently implemented on an ion trap architecture.

[1] P. Jurcevic et al., Nature 511, 202 (2014).

[2] B. P. Lanyon et al., Science 334, 57 (2011).

[3] E. A. Martinez et al., Nature 534, 516 (2016).

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