Robust measurement of wave function topology on NISQ quantum computers

Abstract

Topological quantum phases of quantum materials are defined through their topological invariants. These topological invariants are quantities that characterize the global geometrical properties of the quantum wave functions and thus are immune to local noise. Here, we present a strategy to measure topological invariants on quantum computers. We show that our strategy can be easily integrated with the variational quantum eigensolver (VQE) so that the topological properties of generic quantum many-body states can be characterized on current quantum hardware. We demonstrate the robust nature of the method by measuring topological invariants for both non-interacting and interacting models, and map out interacting quantum phase diagrams on quantum simulators and IBM quantum hardware.

21 pages, 14 figures, 4 tables

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Cited by in corpus (10)

• Early Fault-Tolerant Quantum Computing
• Stabilizing multiple topological fermions on a quantum computer
• Observation of higher-order topological states on a quantum computer
• Interaction-induced topological phase transition at finite temperature
• Extracting topological orders of generalized Pauli stabilizer codes in two dimensions
• A hybrid quantum algorithm to detect conical intersections
• Noise-Robust Detection of Quantum Phase Transitions
• Quantum computing topological invariants of two-dimensional quantum matter
• Probing entanglement dynamics and topological transitions on noisy intermediate-scale quantum computers
• Efficient Berry Phase Calculation via Adaptive Variational Quantum Computing Approach