Observation of topological Uhlmann phases with superconducting qubits
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Date
2018
Publication Type
Journal Article
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yes
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Abstract
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.
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published
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Volume
4
Pages / Article No.
10
Publisher
Nature
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Organisational unit
03720 - Wallraff, Andreas / Wallraff, Andreas
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Funding
150046 - Exploring Geometric Effects and Geometric Gates with Superconducting Circuits (SNF)