SKM 2021 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 3: Focus Session: Entanglement as a Probe for Correlated Quantum Matter
TT 3.3: Vortrag
Montag, 27. September 2021, 14:45–15:15, H6
Topologically ordered systems on the digital quantum processor — Kevin Satzinger3, •Yujie Liu1,2, Adam Smith4, Christina Knapp5,6, Michael Knap1,2, Kirill Schtengel7, Pedram Roushan3, and Frank Pollmann1,2 — 1Department of Physics, Technical University of Munich, Garching, Germany — 2Munich Center for Quantum Science and Technology, M{\"u}nchen, Germany — 3Google Quantum AI, Mountain View, CA, USA — 4Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, University of Nottingham, Nottingham, UK — 5Department of Physics and Institute for Quantum Informationand Matter, California Institute of Technology, Pasadena, CA, USA — 6Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, CA, USA — 7Department of Physics and Astronomy, University of California, Riverside, California, USA
In the first part of the talk, we will discuss the experiment on Sycamore quantum processor where we prepare the ground state of the toric code Hamiltonian using an efficient quantum circuit. We measure a topological entanglement entropy near the expected value of ln 2 and simulate anyon interferometry to extract the braiding statistics of the emergent excitations. We further investigate key aspects of the surface code, including logical state injection and the decay of the non-local order parameter. In the second part of the talk. We generalize our protocol to the more general class of string-net states which host doubled topological order, rendering the braiding of non-abelian anyons possible, as a tool to probe and simulate topological quantum field theory.