Experimental verification of the inertial theorem control protocols

Author(s)

Hu, Chang-Kang ^{[1, 2]} ; Dann, Roie ^{[3, 4]} ; Cui, Jin-Ming ^{[1, 2]} ; Huang, Yun-Feng ^{[1, 2]} ; Li, Chuan-Feng ^{[1, 2]} ; Guo, Guang-Can ^{[1, 2]} ; Santos, Alan C. ^{[5, 6]} ; Kosloff, Ronnie ^{[3, 4]}

Affiliation

^[1] Univ Sci & Technol China, CAS Key Lab Quantum Informat, Hefei 230026 - Peoples R China

^[2] Univ Sci & Technol China, CAS Ctr Excellence Quantum Informat & Quantum Phy, Hefei 230026 - Peoples R China

^[3] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 - USA

^[4] Hebrew Univ Jerusalem, Inst Chem, IL-9190401 Jerusalem - Israel

^[5] Univ Fed Fluminense, Inst Fis, Av Gal Milton Tavares Souza S-N, BR-24210346 Niteroi, RJ - Brazil

^[6] Univ Fed Sao Carlos, Dept Fis, Rodovia Washington Luis, Km 235 SP-310, BR-13565905 Sao Carlos, SP - Brazil

• Document type: Journal article
• Source: NEW JOURNAL OF PHYSICS; v. 23, n. 9 SEP 2021.
• Web of Science Citations: 0

Abstract

An experiment based on a trapped ytterbium ion validates the inertial theorem for the SU(2) algebra. The qubit is encoded within the hyperfine states of the atom and controlled by RF fields. The inertial theorem generates analytical solutions for non-adiabatically driven systems that are `accelerated' slowly, bridging the gap between the sudden and adiabatic limits. These solutions are shown to be stable to small deviations, both experimentally and theoretically. By encoding a two-level system into hyperphine structure of a trapped ytterbium, we explore the high control over the system dynamics in order to validate range of applicability of the inertial theorem in our system. For large deviations from the inertial condition, the experimental results show that the phase remains accurate while the amplitude diverges, so the inertial theorem has good robustness in the phase estimate. As a result, we experimentally showed that the inertial solutions pave the way to rapid quantum control of closed, as well as open quantum systems. (AU)

• FAPESP's process: 19/22685-1 - Memory effect and the transition from weak to strong disorder
• Grantee: Alan Costa dos Santos
• Support Opportunities: Scholarships in Brazil - Post-Doctoral