2018/06/30 by Bao-Jie Liu, Xue-Ke Song, Xue‐Ke Song +5 · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Computation #Computer science #Geometric phase #Hamiltonian (control theory) #Holonomic #Laser-Matter Interactions and Applications #Mathematical optimization #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Turing machine #Quantum computer #Quantum gate #Quantum mechanics #Quantum simulator #Qubit #Robustness (evolution) #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1103/physrevlett.123.100501
published as Phys. Rev. Lett. 123, 100501 (2019) · Published on Phys. Rev. Lett
arxiv created 2019/09/03 · openalex publication_date 2019/09/03 · arxiv updated 2019/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Nonadiabatic holonomic quantum computation (NHQC) has been developed to shorten the construction times of geometric quantum gates. However, previous NHQC gates require the driving Hamiltonian to satisfy a set of rather restrictive conditions, reducing the robustness of the resulting geometric gates against control errors. Here we show that nonadiabatic geometric gates can be constructed in an extensible way, called NHQC+, for maintaining both flexibility and robustness against certain types of noises. Consequently, this approach makes it possible to incorporate most of the existing optimal control methods, such as dynamical decoupling, composite pulses, and a shortcut to adiabaticity, into the construction of single-looped geometric gates. Furthermore, this extensible approach of geometric quantum computation can be applied to various physical platforms such as superconducting qubits and nitrogen-vacancy centers. Specifically, we performed numerical simulation to show how the noise robustness in recent experimental implementations [Phys. Rev. Lett. 119, 140503 (2017)PRLTAO0031-900710.1103/PhysRevLett.119.140503; Nat. Photonics 11, 309 (2017)NPAHBY1749-488510.1038/nphoton.2017.40] can be significantly improved by our NHQC+.approach. These results cover a large class of new techniques combing the noise robustness of both geometric phase and optimal control theory.