Quantum optimal control of ten-level nuclear spin qudits in Sr 87
Abstract
We study the ability to implement unitary maps on states of the nuclear spin in , a dimensional (qudecimal) Hilbert space, using quantum optimal control. Through a combination of nuclear spin resonance and a tensor ac Stark shift, by solely modulating the phase of a radio-frequency magnetic field, the system is quantum controllable. Alkaline-earth-metal atoms, such as , have a very favorable figure of merit for such control due to narrow intercombination lines and the large hyperfine splitting in the excited states. We numerically study the quantum speed limit, optimal parameters, and the fidelity of arbitrary state preparation and full SU(10) maps, including the presence of decoherence due to optical pumping induced by the light-shifting laser. We also study the use of robust control to mitigate some dephasing due to inhomogeneities in the light shift. We find that with an rf Rabi frequency of and 0.5% inhomogeneity in the the light shift we can prepare an arbitrary Haar-random state in a time with average fidelity , and an arbitrary Haar-random SU(10) map in a time with average fidelity .
- Authors:
-
[1];
[2];
[1]
- Univ. of New Mexico, Albuquerque, NM (United States). Center for Quantum Information and Control
- Univ. of New Mexico, Albuquerque, NM (United States). Center for Quantum Information and Control; Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF)
- OSTI Identifier:
- 1863739
- Report Number(s):
- LA-UR-21-25988
Journal ID: ISSN 2469-9926; TRN: US2305646
- Grant/Contract Number:
- 89233218CNA000001; 2016244
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 104; Journal Issue: 6; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Quantum control; Quantum information science; Quantum gates
Citation Formats
Omanakuttan, Sivaprasad, Mitra, Anupam, Martin, Michael J., and Deutsch, Ivan H. Quantum optimal control of ten-level nuclear spin qudits in Sr87. United States: N. p., 2021.
Web. doi:10.1103/physreva.104.l060401.
Omanakuttan, Sivaprasad, Mitra, Anupam, Martin, Michael J., & Deutsch, Ivan H. Quantum optimal control of ten-level nuclear spin qudits in Sr87. United States. https://doi.org/10.1103/physreva.104.l060401
Omanakuttan, Sivaprasad, Mitra, Anupam, Martin, Michael J., and Deutsch, Ivan H. Thu .
"Quantum optimal control of ten-level nuclear spin qudits in Sr87". United States. https://doi.org/10.1103/physreva.104.l060401. https://www.osti.gov/servlets/purl/1863739.
@article{osti_1863739,
title = {Quantum optimal control of ten-level nuclear spin qudits in Sr87},
author = {Omanakuttan, Sivaprasad and Mitra, Anupam and Martin, Michael J. and Deutsch, Ivan H.},
abstractNote = {We study the ability to implement unitary maps on states of the I=9/2 nuclear spin in Sr87, a d=10 dimensional (qudecimal) Hilbert space, using quantum optimal control. Through a combination of nuclear spin resonance and a tensor ac Stark shift, by solely modulating the phase of a radio-frequency magnetic field, the system is quantum controllable. Alkaline-earth-metal atoms, such as Sr87, have a very favorable figure of merit for such control due to narrow intercombination lines and the large hyperfine splitting in the excited states. We numerically study the quantum speed limit, optimal parameters, and the fidelity of arbitrary state preparation and full SU(10) maps, including the presence of decoherence due to optical pumping induced by the light-shifting laser. We also study the use of robust control to mitigate some dephasing due to inhomogeneities in the light shift. We find that with an rf Rabi frequency of Ωrf and 0.5% inhomogeneity in the the light shift we can prepare an arbitrary Haar-random state in a time T=4.5π/Ωrf with average fidelity (Fψ)=0.9992, and an arbitrary Haar-random SU(10) map in a time T=24π/Ωrf with average fidelity (FU)=0.9923.},
doi = {10.1103/physreva.104.l060401},
journal = {Physical Review A},
number = 6,
volume = 104,
place = {United States},
year = {Thu Dec 16 00:00:00 EST 2021},
month = {Thu Dec 16 00:00:00 EST 2021}
}
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