Experimental realization of nonadiabatic geometric gates with a superconducting Xmon qubit

Abstract

Geometric phases are only dependent on evolution paths but independent of evolution details so that they own some intrinsic noise-resilience features. Based on different geometric phases, various quantum gates have been proposed, such as nonadiabatic geometric gates based on nonadiabatic Abelian geometric phases and nonadiabatic holonomic gates based on nonadiabatic non-Abelian geometric phases. Up to now, nonadiabatic holonomic one-qubit gates have been experimentally demonstrated with the supercondunting transmon, where three lowest levels with cascaded configuration are all applied in the operation. However, the second excited states of transmons have relatively short coherence time, which results in a lessened fidelity of quantum gates. Here, we experimentally realize Abelian-geometric-phase-based nonadiabatic geometric one-qubit gates with a superconducting Xmon qubit. The realization is performed on two lowest levels of an Xmon qubit and thus avoids the influence from the short coherence time of the second excited state. The experimental result indicates that the average fidelities of single-qubit gates can be up to 99.6% and 99.7% characterized by quantum process tomography and randomized benchmarking, respectively.

High-fidelity geometric quantum gates with short paths on superconducting circuits

“…Theoretically, nonadiabatic GQC [23][24][25][26] and HQC [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42] have been extensive explored. Meanwhile, nonadiabatic GQC [15,[43][44][45][46] and HQC [47][48][49][50][51][52][53][54][55][56][57][58] have also also been experimentally demonstrated in different quantum systems.…”

Approach to realizing nonadiabatic geometric gates with prescribed evolution paths

“…Nonadiabatic geometric quantum computation can be realized with a high-speed implementation. Due to the merits of both geometric robustness and high-speed evolution, nonadiabatic geometric quantum computation has attracted much attention , and has been experimentally demonstrated with trapped ions [44], nuclear magnetic resonance [45] and superconducting circuits [46,47].…”

Error-Resilient Floquet Geometric Quantum Computation

“…To overcome the dilemma between the limited coherence times and the long duration of adiabatic evolution, nonadiabatic geometric quantum computation (NGQC) [24][25][26][27][28][29][30] and non-adiabatic holonomic quantum computation (NHQC) [31][32][33][34][35][36][37][38][39][40][41][42][43][44] based on non-adiabatic Abelian and non-Abelian geometric gate [11,13] have been proposed. Due to its intrinsic noise-resistance features and high-speed in implementation, NGQC has attracted considerable interests [27,31,34, and has been experimentally demonstrated with nuclear magnetic resonance [45,46], superconducting circuits [47][48][49][50][51][72][73][74] and nitrogen-vacancy centers in diamond [52][53][54][55][56][57]. * yung@sustech.edu.cn However, these non-adiabatic gates require the driving pulses to satisfy the restrictive conditions, reducing the robustness of the resulting geometric gates against control errors [41]…”