Towards string order melting of spin-1 particle chains in superconducting transmons using optimal control
Utilizing optimal control to simulate a model Hamiltonian is an emerging strategy that leverages the intrinsic physics of a device with digital quantum simulation methods. Here we evaluate optimal control for probing the nonequilibrium properties of symmetry-protected topological (SPT) states simula...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2022-12-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.043189 |
| _version_ | 1797210577289871360 |
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| author | Paul Kairys Travis S. Humble |
| author_facet | Paul Kairys Travis S. Humble |
| author_sort | Paul Kairys |
| collection | DOAJ |
| description | Utilizing optimal control to simulate a model Hamiltonian is an emerging strategy that leverages the intrinsic physics of a device with digital quantum simulation methods. Here we evaluate optimal control for probing the nonequilibrium properties of symmetry-protected topological (SPT) states simulated with superconducting hardware. Assuming a tunable transmon architecture, we cast the evolution of these SPT states as a series of one- and two-site pulse optimization problems that are solved in the presence of leakage constraints. From the generated pulses, we classically simulate the time-dependent melting of the perturbed SPT string order across a six-site model with an average state infidelity of 10^{−3}. The feasibility of these pulses as well as their efficient application indicate that high-fidelity simulations of string order melting are within reach of current quantum computing systems. |
| first_indexed | 2024-04-24T10:12:48Z |
| format | Article |
| id | doaj.art-5e76d25d80af47b383420c44ac535bce |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:12:48Z |
| publishDate | 2022-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-5e76d25d80af47b383420c44ac535bce2024-04-12T17:27:01ZengAmerican Physical SocietyPhysical Review Research2643-15642022-12-014404318910.1103/PhysRevResearch.4.043189Towards string order melting of spin-1 particle chains in superconducting transmons using optimal controlPaul KairysTravis S. HumbleUtilizing optimal control to simulate a model Hamiltonian is an emerging strategy that leverages the intrinsic physics of a device with digital quantum simulation methods. Here we evaluate optimal control for probing the nonequilibrium properties of symmetry-protected topological (SPT) states simulated with superconducting hardware. Assuming a tunable transmon architecture, we cast the evolution of these SPT states as a series of one- and two-site pulse optimization problems that are solved in the presence of leakage constraints. From the generated pulses, we classically simulate the time-dependent melting of the perturbed SPT string order across a six-site model with an average state infidelity of 10^{−3}. The feasibility of these pulses as well as their efficient application indicate that high-fidelity simulations of string order melting are within reach of current quantum computing systems.http://doi.org/10.1103/PhysRevResearch.4.043189 |
| spellingShingle | Paul Kairys Travis S. Humble Towards string order melting of spin-1 particle chains in superconducting transmons using optimal control Physical Review Research |
| title | Towards string order melting of spin-1 particle chains in superconducting transmons using optimal control |
| title_full | Towards string order melting of spin-1 particle chains in superconducting transmons using optimal control |
| title_fullStr | Towards string order melting of spin-1 particle chains in superconducting transmons using optimal control |
| title_full_unstemmed | Towards string order melting of spin-1 particle chains in superconducting transmons using optimal control |
| title_short | Towards string order melting of spin-1 particle chains in superconducting transmons using optimal control |
| title_sort | towards string order melting of spin 1 particle chains in superconducting transmons using optimal control |
| url | http://doi.org/10.1103/PhysRevResearch.4.043189 |
| work_keys_str_mv | AT paulkairys towardsstringordermeltingofspin1particlechainsinsuperconductingtransmonsusingoptimalcontrol AT travisshumble towardsstringordermeltingofspin1particlechainsinsuperconductingtransmonsusingoptimalcontrol |