Qutrit Toric Code and Parafermions in Trapped Ions
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arXiv
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| Autori principali: | , , , , , , , , , , , , , , , , , , |
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| Natura: | Preprint |
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2024
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| author | Iqbal, Mohsin Lyons, Anasuya Lo, Chiu Fan Bowen Tantivasadakarn, Nathanan Dreiling, Joan Foltz, Cameron Gatterman, Thomas M. Gresh, Dan Hewitt, Nathan Holliman, Craig A. Johansen, Jacob Neyenhuis, Brian Matsuoka, Yohei Mills, Michael Moses, Steven A. Siegfried, Peter Vishwanath, Ashvin Verresen, Ruben Dreyer, Henrik |
| author_facet | Iqbal, Mohsin Lyons, Anasuya Lo, Chiu Fan Bowen Tantivasadakarn, Nathanan Dreiling, Joan Foltz, Cameron Gatterman, Thomas M. Gresh, Dan Hewitt, Nathan Holliman, Craig A. Johansen, Jacob Neyenhuis, Brian Matsuoka, Yohei Mills, Michael Moses, Steven A. Siegfried, Peter Vishwanath, Ashvin Verresen, Ruben Dreyer, Henrik |
| contents | The development of programmable quantum devices can be measured by the complexity of manybody states that they are able to prepare. Among the most significant are topologically ordered states of matter, which enable robust quantum information storage and processing. While topological orders are more readily accessible with qudits, experimental realisations have thus far been limited to lattice models of qubits. Here, we prepare a ground state of the Z3 toric code state on 24 qutrits in a trapped ion quantum processor with fidelity per qutrit exceeding 96.5(3)%. We manipulate two types of defects which go beyond the conventional qubit toric code: a parafermion, and its bound state which is related to charge conjugation symmetry. We further demonstrate defect fusion and the transfer of entanglement between anyons and defects, which we use to control topological qutrits. Our work opens up the space of long-range entangled states with qudit degrees of freedom for use in quantum simulation and universal error-correcting codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04185 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Qutrit Toric Code and Parafermions in Trapped Ions Iqbal, Mohsin Lyons, Anasuya Lo, Chiu Fan Bowen Tantivasadakarn, Nathanan Dreiling, Joan Foltz, Cameron Gatterman, Thomas M. Gresh, Dan Hewitt, Nathan Holliman, Craig A. Johansen, Jacob Neyenhuis, Brian Matsuoka, Yohei Mills, Michael Moses, Steven A. Siegfried, Peter Vishwanath, Ashvin Verresen, Ruben Dreyer, Henrik Quantum Physics Strongly Correlated Electrons The development of programmable quantum devices can be measured by the complexity of manybody states that they are able to prepare. Among the most significant are topologically ordered states of matter, which enable robust quantum information storage and processing. While topological orders are more readily accessible with qudits, experimental realisations have thus far been limited to lattice models of qubits. Here, we prepare a ground state of the Z3 toric code state on 24 qutrits in a trapped ion quantum processor with fidelity per qutrit exceeding 96.5(3)%. We manipulate two types of defects which go beyond the conventional qubit toric code: a parafermion, and its bound state which is related to charge conjugation symmetry. We further demonstrate defect fusion and the transfer of entanglement between anyons and defects, which we use to control topological qutrits. Our work opens up the space of long-range entangled states with qudit degrees of freedom for use in quantum simulation and universal error-correcting codes. |
| title | Qutrit Toric Code and Parafermions in Trapped Ions |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2411.04185 |