Hamiltonian engineering with constrained optimization for quantum sensing and control
While quantum devices rely on interactions between constituent subsystems and with their environment to operate, native interactions alone often fail to deliver targeted performance. Coherent pulsed control provides the ability to tailor effective interactions, known as Hamiltonian engineering. We p...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2019-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab00be |
| _version_ | 1797750207370231808 |
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| author | Michael F O’Keeffe Lior Horesh John F Barry Danielle A Braje Isaac L Chuang |
| author_facet | Michael F O’Keeffe Lior Horesh John F Barry Danielle A Braje Isaac L Chuang |
| author_sort | Michael F O’Keeffe |
| collection | DOAJ |
| description | While quantum devices rely on interactions between constituent subsystems and with their environment to operate, native interactions alone often fail to deliver targeted performance. Coherent pulsed control provides the ability to tailor effective interactions, known as Hamiltonian engineering. We propose a Hamiltonian engineering method that maximizes desired interactions while mitigating deleterious ones by conducting a pulse sequence search using constrained optimization. The optimization formulation incorporates pulse sequence length and cardinality penalties consistent with linear or integer programming. We apply the general technique to magnetometry with solid state spin ensembles in which inhomogeneous interactions between sensing spins limit coherence. Defining figures of merit for broadband Ramsey magnetometry, we present novel pulse sequences which outperform known techniques for homonuclear spin decoupling in both spin-1/2 and spin-1 systems. When applied to nitrogen vacancy (NV) centers in diamond, this scheme partially preserves the Zeeman interaction while zeroing dipolar coupling between negatively charged NV ^− centers. Such a scheme is of interest for NV ^− magnetometers which have reached the NV ^− –NV ^− coupling limit. We discuss experimental implementation in NV ensembles, as well as applicability of the current approach to more general spin bath decoupling and superconducting qubit control. |
| first_indexed | 2024-03-12T16:29:22Z |
| format | Article |
| id | doaj.art-4d1d1815d70d40e693a3bad38d402b9f |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:29:22Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-4d1d1815d70d40e693a3bad38d402b9f2023-08-08T15:33:54ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121202301510.1088/1367-2630/ab00beHamiltonian engineering with constrained optimization for quantum sensing and controlMichael F O’Keeffe0Lior Horesh1John F Barry2Danielle A Braje3Isaac L Chuang4Quantum Information and Integrated Nanosystems Group, MIT Lincoln Laboratory, Lexington, MA 02421, United States of America; MIT-IBM Watson AI Lab, Cambridge, MA 02142, United States of AmericaAI Science, IBM T.J. Watson Research Center, Yorktown Heights, NY 10598, United States of America; MIT-IBM Watson AI Lab, Cambridge, MA 02142, United States of AmericaQuantum Information and Integrated Nanosystems Group, MIT Lincoln Laboratory, Lexington, MA 02421, United States of AmericaQuantum Information and Integrated Nanosystems Group, MIT Lincoln Laboratory, Lexington, MA 02421, United States of America; MIT-IBM Watson AI Lab, Cambridge, MA 02142, United States of AmericaDepartment of Physics, Department of Electrical Engineering and Computer Science, and Research Laboratory of Electronics, Massachusetts Institute of Technology , Cambridge, MA 02139, United States of America; MIT-IBM Watson AI Lab, Cambridge, MA 02142, United States of AmericaWhile quantum devices rely on interactions between constituent subsystems and with their environment to operate, native interactions alone often fail to deliver targeted performance. Coherent pulsed control provides the ability to tailor effective interactions, known as Hamiltonian engineering. We propose a Hamiltonian engineering method that maximizes desired interactions while mitigating deleterious ones by conducting a pulse sequence search using constrained optimization. The optimization formulation incorporates pulse sequence length and cardinality penalties consistent with linear or integer programming. We apply the general technique to magnetometry with solid state spin ensembles in which inhomogeneous interactions between sensing spins limit coherence. Defining figures of merit for broadband Ramsey magnetometry, we present novel pulse sequences which outperform known techniques for homonuclear spin decoupling in both spin-1/2 and spin-1 systems. When applied to nitrogen vacancy (NV) centers in diamond, this scheme partially preserves the Zeeman interaction while zeroing dipolar coupling between negatively charged NV ^− centers. Such a scheme is of interest for NV ^− magnetometers which have reached the NV ^− –NV ^− coupling limit. We discuss experimental implementation in NV ensembles, as well as applicability of the current approach to more general spin bath decoupling and superconducting qubit control.https://doi.org/10.1088/1367-2630/ab00bequantum sensingquantum controlnitrogen vacancy centersmagnetometryHamiltonian engineeringconstrained optimization |
| spellingShingle | Michael F O’Keeffe Lior Horesh John F Barry Danielle A Braje Isaac L Chuang Hamiltonian engineering with constrained optimization for quantum sensing and control New Journal of Physics quantum sensing quantum control nitrogen vacancy centers magnetometry Hamiltonian engineering constrained optimization |
| title | Hamiltonian engineering with constrained optimization for quantum sensing and control |
| title_full | Hamiltonian engineering with constrained optimization for quantum sensing and control |
| title_fullStr | Hamiltonian engineering with constrained optimization for quantum sensing and control |
| title_full_unstemmed | Hamiltonian engineering with constrained optimization for quantum sensing and control |
| title_short | Hamiltonian engineering with constrained optimization for quantum sensing and control |
| title_sort | hamiltonian engineering with constrained optimization for quantum sensing and control |
| topic | quantum sensing quantum control nitrogen vacancy centers magnetometry Hamiltonian engineering constrained optimization |
| url | https://doi.org/10.1088/1367-2630/ab00be |
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