Hilbert space as a computational resource in reservoir computing
Accelerating computation with quantum resources is limited by the challenges of high-fidelity control of quantum systems. Reservoir computing presents an attractive alternative, as precise control and full calibration of system dynamics are not required. Instead, complex internal trajectories in a l...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.033007 |
| _version_ | 1797210701031276544 |
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| author | W. D. Kalfus G. J. Ribeill G. E. Rowlands H. K. Krovi T. A. Ohki L. C. G. Govia |
| author_facet | W. D. Kalfus G. J. Ribeill G. E. Rowlands H. K. Krovi T. A. Ohki L. C. G. Govia |
| author_sort | W. D. Kalfus |
| collection | DOAJ |
| description | Accelerating computation with quantum resources is limited by the challenges of high-fidelity control of quantum systems. Reservoir computing presents an attractive alternative, as precise control and full calibration of system dynamics are not required. Instead, complex internal trajectories in a large state space are leveraged as a computational resource. Quantum systems offer a unique venue for reservoir computing, given the presence of interactions unavailable in classical systems and a potentially exponentially-larger computational space. With a reservoir comprised of a single d-dimensional quantum system, we demonstrate clear performance improvement with Hilbert space dimension at two benchmark tasks and advantage over the physically analogous classical reservoir. Quantum reservoirs as realized by current-era quantum hardware offer immediate practical implementation and a promising outlook for increased performance in larger systems. |
| first_indexed | 2024-04-24T10:14:46Z |
| format | Article |
| id | doaj.art-232297912d7a429d9e1f2d85f288fb28 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:14:46Z |
| publishDate | 2022-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-232297912d7a429d9e1f2d85f288fb282024-04-12T17:22:27ZengAmerican Physical SocietyPhysical Review Research2643-15642022-07-014303300710.1103/PhysRevResearch.4.033007Hilbert space as a computational resource in reservoir computingW. D. KalfusG. J. RibeillG. E. RowlandsH. K. KroviT. A. OhkiL. C. G. GoviaAccelerating computation with quantum resources is limited by the challenges of high-fidelity control of quantum systems. Reservoir computing presents an attractive alternative, as precise control and full calibration of system dynamics are not required. Instead, complex internal trajectories in a large state space are leveraged as a computational resource. Quantum systems offer a unique venue for reservoir computing, given the presence of interactions unavailable in classical systems and a potentially exponentially-larger computational space. With a reservoir comprised of a single d-dimensional quantum system, we demonstrate clear performance improvement with Hilbert space dimension at two benchmark tasks and advantage over the physically analogous classical reservoir. Quantum reservoirs as realized by current-era quantum hardware offer immediate practical implementation and a promising outlook for increased performance in larger systems.http://doi.org/10.1103/PhysRevResearch.4.033007 |
| spellingShingle | W. D. Kalfus G. J. Ribeill G. E. Rowlands H. K. Krovi T. A. Ohki L. C. G. Govia Hilbert space as a computational resource in reservoir computing Physical Review Research |
| title | Hilbert space as a computational resource in reservoir computing |
| title_full | Hilbert space as a computational resource in reservoir computing |
| title_fullStr | Hilbert space as a computational resource in reservoir computing |
| title_full_unstemmed | Hilbert space as a computational resource in reservoir computing |
| title_short | Hilbert space as a computational resource in reservoir computing |
| title_sort | hilbert space as a computational resource in reservoir computing |
| url | http://doi.org/10.1103/PhysRevResearch.4.033007 |
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