ArticleNature communications2024
Realization of higher-order topological lattices on a quantum computer.
Article in Nature communications, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Benchmarking Quantum Solvers in Noisy Digital Simulations for Financial Portfolio Optimization.Entropy (Basel, Switzerland) · 2026Article
- Interacting non-Hermitian edge and cluster bursts on a digital quantum processor.Nature communications · 2026Article
- Deep-learning-empowered programmable topolectrical circuits.Nature communications · 2026Article
- Phase-Space Generalized Brillouin Zone For Spatially Inhomogeneous Non-Hermitian Systems.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Octupole topological insulating phase protected by a three-dimensional momentum-space nonsymmorphic group.National science review · 2025Article
- Observation of higher-order time-dislocation topological modes.Nature communications · 2025Article
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Programmable quantum simulators may one day outperform classical computers at certain tasks. But at present, the range of viable applications with noisy intermediate-scale quantum (NISQ) devices remains limited by gate errors and the number of high-quality qubits. Here, we develop an approach that places digital NISQ hardware as a versatile platform for simulating multi-dimensional condensed matter systems. Our method encodes a high-dimensional lattice in terms of many-body interactions on a reduced-dimension model, thereby taking full advantage of the exponentially large Hilbert space of the host quantum system. With circuit optimization and error mitigation techniques, we measured on IBM superconducting quantum processors the topological state dynamics and protected mid-gap spectra of higher-order topological lattices, in up to four dimensions, with high accuracy. Our projected resource requirements scale favorably with system size and lattice dimensionality compared to classical computation, suggesting a possible route to useful quantum advantage in the longer term.
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Registered trials
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