Fast quantum state engineering via universal SU(2) transformation

2017/08/11 by Bi‐Hua Huang, Bi-Hua Huang, Yi-Hao Kang +7 · 51 citations
Computer Science · Materials Science · Mathematics · Physics and Astronomy · #Algebra over a field #Algorithm #Biology #Computer science #Diamond and Carbon-based Materials Research #Mathematics #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #State (computer science) #Transformation (genetics) #quant-ph

paper · pdf · doi:10.1103/physreva.96.022314

published in Physical Review A 96(2) (American Physical Society) · 11 pages, 8 figures, has been accepted by Physical Review A

arxiv created 2017/08/11 · openalex publication_date 2017/08/15 · arxiv updated 2017/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We introduce a simple yet versatile protocol to inverse engineer the time-dependent Hamiltonian in two- and three-level systems. In the protocol, by utilizing a universal SU(2) transformation, a given speedup goal can be obtained with large freedom to select the control parameters. As an illustration example, the protocol is applied to perform population transfer between nitrogen-vacancy (NV) centers in diamond. Numerical simulation shows that the speed of the present protocol is fast compared with that of the adiabatic process. Moreover, the protocol is also tolerant to decoherence and experimental parameter fluctuations. Therefore, the protocol may be useful for designing an experimental feasible Hamiltonian to engineer a quantum system.

Citations

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