RT Journal Article
T1 Observation of topological Uhlmann phases with superconducting qubits
A1 Viyuela, O.
A1 Rivas, A.
A1 Gasparinetti, S.
A1 Wallraff, A.
A1 Filipp, S.
A1 Martin-Delgado Alcántara, Miguel Ángel
AB Topological insulators and superconductors at finite temperature can be characterized by the topological Uhlmann phase. However, a direct experimental measurement of this invariant has remained elusive in condensed matter systems. Here, we report a measurement of the topological Uhlmann phase for a topological insulator simulated by a system of entangled qubits in the IBM Quantum Experience platform. By making use of ancilla states, otherwise unobservable phases carrying topological information about the system become accessible, enabling the experimental determination of a complete phase diagram including environmental effects. We employ a state-independent measurement protocol which does not involve prior knowledge of the system state. The proposed measurement scheme is extensible to interacting particles and topological models with a large number of bands.
PB Nature publishing group
SN 2056-6387
YR 2018
FD 2018-02-12
LK https://hdl.handle.net/20.500.14352/12040
UL https://hdl.handle.net/20.500.14352/12040
LA eng
NO © All authors. M.A.M.D., A.R. and O.V. thank the Spanish MINECO grant FIS2012-33152, a “Juan de la Cierva-Incorporación” reseach contract, the CAM research consortium QUITEMAD+ S2013/ICE-2801, the U.S. Army Research Office through grant W911NF-14-1-0103, Fundación Rafael del Pino, Fundación Ramón Areces, and RCC Harvard. S.G., A.W. and S.F. acknowledge support by the Swiss National Science Foundation (SNF, Project 150046).
NO Ministerio de Economía y Competitividad (MINECO)
NO Comunidad de Madrid
NO Juan de la Cierva-Incorporación
NO U.S. Army Research Office
NO Swiss National Science Foundation
DS Docta Complutense
RD 28 abr 2024