Plug-and-Play Approach to Nonadiabatic Geometric Quantum Gates

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review

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Author(s)

  • Bao-Jie Liu
  • Xue-Ke Song
  • Zheng-Yuan Xue
  • Xin Wang
  • Man-Hong Yung

Related Research Unit(s)

Detail(s)

Original languageEnglish
Article number100501
Journal / PublicationPhysical Review Letters
Volume123
Issue number10
Early online date3 Sep 2019
Publication statusPublished - 6 Sep 2019

Abstract

Non-adiabatic 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 non-adiabatic 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 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 platform such as superconducting qubits and nitrogen-vacancy centers. Specifically, we performed numerical simulation to show how the noise robustness in the recent experimental implementations [Phys. Rev. Lett. 119, 140503 (2017)] and [Nat. Photonics 11, 309 (2017)] 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.

Citation Format(s)

Plug-and-Play Approach to Nonadiabatic Geometric Quantum Gates. / Liu, Bao-Jie; Song, Xue-Ke; Xue, Zheng-Yuan; Wang, Xin; Yung, Man-Hong.

In: Physical Review Letters, Vol. 123, No. 10, 100501, 06.09.2019.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review