Symmetry-Protected Topological Haldane Phase on a Qudit Quantum Processor
Symmetry-protected topological phases have fundamentally changed our understanding of quantum matter. An archetypal example of such a quantum phase of matter is the Haldane phase, containing the spin-1 Heisenberg chain. The intrinsic quantum nature of such phases, however, often makes it challenging to study them using classical means. Here, we use trapped-ion qutrits to natively engineer spin-1 chains within the Haldane phase. Using a scalable deterministic procedure to prepare the Affleck-Kennedy-Lieb-Tasaki (AKLT) state within the Haldane phase, we study the topological features of this system on a qudit quantum processor. Notably, we verify the long-range string order of the state, despite its short-range correlations, and observe spin fractionalization of the physical spin-1 particles into effective qubits at the chain edges, a defining feature of this system. The native realization of Haldane physics on a qudit quantum processor and the scalable preparation procedures open the door to the efficient exploration of a wide range of systems beyond spin-1/2.
Authors
- Íñigo Arrazola (ORCID: https://orcid.org/0000-0003-0991-3466)
- E. Rico (ORCID: https://orcid.org/0000-0003-4414-6821)
- M. Meth (ORCID: https://orcid.org/0000-0002-5446-3962)
- Martin Ringbauer (ORCID: https://orcid.org/0000-0001-5055-6240)
- R. Blatt (ORCID: https://orcid.org/0000-0002-3122-2461)
- Gavin K. Brennen (ORCID: https://orcid.org/0000-0002-6019-966X)
- Claire Edmunds (ORCID: https://orcid.org/0000-0002-2367-9074)
Institutions
- Ikerbasque (ES)
- University of the Basque Country (ES)
- Universität Innsbruck (AT)
- Institute for Quantum Optics and Quantum Information Innsbruck (AT)
- ARC Centre of Excellence for Engineered Quantum Systems (AU)
- Alpine Quantum Technologies (Austria) (AT)
- Donostia International Physics Center (ES)
- Universidad Autónoma de Madrid (ES)
- European Organization for Nuclear Research (CH)
- Macquarie University (AU)
Publication Details
- Journal
- PRX Quantum
- Published
- 2025-06-11
- DOI
- https://doi.org/10.1103/prxquantum.6.020349
- Citations
- 7
- Primary Topic
- Quantum and electron transport phenomena
- Type
- article
- Field-Weighted Citation Impact
- 8.73
Funders
- Austrian Science Fund
- Eusko Jaurlaritza
- Bundesministerium für Bildung, Wissenschaft, Forschung und Technologie
- Australian Research Council
- European Regional Development Fund
- H2020 European Research Council