Pulse engineering via projection of response functions
We present an iterative optimal control method of quantum systems, aimed at an implementation of a desired operation with optimal fidelity. The update step of the method is based on the linear response of the fidelity to the control operators, and its projection onto the mode functions of the corres...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-01-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013101 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832584170815094784 |
|---|---|
| author | Nicolas Heimann Lukas Broers Ludwig Mathey |
| author_facet | Nicolas Heimann Lukas Broers Ludwig Mathey |
| author_sort | Nicolas Heimann |
| collection | DOAJ |
| description | We present an iterative optimal control method of quantum systems, aimed at an implementation of a desired operation with optimal fidelity. The update step of the method is based on the linear response of the fidelity to the control operators, and its projection onto the mode functions of the corresponding operator. Our method extends methods such as gradient-ascent pulse engineering (GRAPE) and variational quantum algorithms, by determining the fidelity gradient in a hyperparameter-free manner, and using it for a multiparameter update, capitalizing on the multimode overlap of the perturbation and the mode functions. This directly reduces the number of dynamical trajectories that need to be evaluated in order to update a set of parameters. We demonstrate this approach, and compare it to the standard GRAPE algorithm, for the example of a quantum gate on two qubits, demonstrating a clear improvement in convergence and optimal fidelity of the generated protocol. |
| format | Article |
| id | doaj-art-48a4f58d9e6942048cc2bd51ea552d06 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-48a4f58d9e6942048cc2bd51ea552d062025-01-27T15:08:38ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-017101310110.1103/PhysRevResearch.7.013101Pulse engineering via projection of response functionsNicolas HeimannLukas BroersLudwig MatheyWe present an iterative optimal control method of quantum systems, aimed at an implementation of a desired operation with optimal fidelity. The update step of the method is based on the linear response of the fidelity to the control operators, and its projection onto the mode functions of the corresponding operator. Our method extends methods such as gradient-ascent pulse engineering (GRAPE) and variational quantum algorithms, by determining the fidelity gradient in a hyperparameter-free manner, and using it for a multiparameter update, capitalizing on the multimode overlap of the perturbation and the mode functions. This directly reduces the number of dynamical trajectories that need to be evaluated in order to update a set of parameters. We demonstrate this approach, and compare it to the standard GRAPE algorithm, for the example of a quantum gate on two qubits, demonstrating a clear improvement in convergence and optimal fidelity of the generated protocol.http://doi.org/10.1103/PhysRevResearch.7.013101 |
| spellingShingle | Nicolas Heimann Lukas Broers Ludwig Mathey Pulse engineering via projection of response functions Physical Review Research |
| title | Pulse engineering via projection of response functions |
| title_full | Pulse engineering via projection of response functions |
| title_fullStr | Pulse engineering via projection of response functions |
| title_full_unstemmed | Pulse engineering via projection of response functions |
| title_short | Pulse engineering via projection of response functions |
| title_sort | pulse engineering via projection of response functions |
| url | http://doi.org/10.1103/PhysRevResearch.7.013101 |
| work_keys_str_mv | AT nicolasheimann pulseengineeringviaprojectionofresponsefunctions AT lukasbroers pulseengineeringviaprojectionofresponsefunctions AT ludwigmathey pulseengineeringviaprojectionofresponsefunctions |