Time-optimal control of driven oscillators by variational circuit learning
The simulation of quantum dynamics on a digital quantum computer with parametrized circuits has widespread applications in fundamental and applied physics and chemistry. In this context, using the hybrid quantum-classical algorithm, combining classical optimizers and quantum computers, is a competit...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.023173 |
| _version_ | 1797210467458875392 |
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| author | Tangyou Huang Yongcheng Ding Léonce Dupays Yue Ban Man-Hong Yung Adolfo del Campo Xi Chen |
| author_facet | Tangyou Huang Yongcheng Ding Léonce Dupays Yue Ban Man-Hong Yung Adolfo del Campo Xi Chen |
| author_sort | Tangyou Huang |
| collection | DOAJ |
| description | The simulation of quantum dynamics on a digital quantum computer with parametrized circuits has widespread applications in fundamental and applied physics and chemistry. In this context, using the hybrid quantum-classical algorithm, combining classical optimizers and quantum computers, is a competitive strategy for solving specific problems. We put forward its use for optimal quantum control. We simulate the wave-packet expansion of a trapped quantum particle on a quantum device with a finite number of qubits. We then use circuit learning based on gradient descent to work out the intrinsic connection between the control phase transition and the quantum speed limit imposed by unitary dynamics. We further discuss the robustness of our method against errors and demonstrate the absence of barren plateaus in the circuit. The combination of digital quantum simulation and hybrid circuit learning opens up new prospects for quantum optimal control. |
| first_indexed | 2024-04-24T10:11:03Z |
| format | Article |
| id | doaj.art-ce82ed1c972c43e5bd3679fd317b364e |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:11:03Z |
| publishDate | 2023-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-ce82ed1c972c43e5bd3679fd317b364e2024-04-12T17:31:52ZengAmerican Physical SocietyPhysical Review Research2643-15642023-06-015202317310.1103/PhysRevResearch.5.023173Time-optimal control of driven oscillators by variational circuit learningTangyou HuangYongcheng DingLéonce DupaysYue BanMan-Hong YungAdolfo del CampoXi ChenThe simulation of quantum dynamics on a digital quantum computer with parametrized circuits has widespread applications in fundamental and applied physics and chemistry. In this context, using the hybrid quantum-classical algorithm, combining classical optimizers and quantum computers, is a competitive strategy for solving specific problems. We put forward its use for optimal quantum control. We simulate the wave-packet expansion of a trapped quantum particle on a quantum device with a finite number of qubits. We then use circuit learning based on gradient descent to work out the intrinsic connection between the control phase transition and the quantum speed limit imposed by unitary dynamics. We further discuss the robustness of our method against errors and demonstrate the absence of barren plateaus in the circuit. The combination of digital quantum simulation and hybrid circuit learning opens up new prospects for quantum optimal control.http://doi.org/10.1103/PhysRevResearch.5.023173 |
| spellingShingle | Tangyou Huang Yongcheng Ding Léonce Dupays Yue Ban Man-Hong Yung Adolfo del Campo Xi Chen Time-optimal control of driven oscillators by variational circuit learning Physical Review Research |
| title | Time-optimal control of driven oscillators by variational circuit learning |
| title_full | Time-optimal control of driven oscillators by variational circuit learning |
| title_fullStr | Time-optimal control of driven oscillators by variational circuit learning |
| title_full_unstemmed | Time-optimal control of driven oscillators by variational circuit learning |
| title_short | Time-optimal control of driven oscillators by variational circuit learning |
| title_sort | time optimal control of driven oscillators by variational circuit learning |
| url | http://doi.org/10.1103/PhysRevResearch.5.023173 |
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