Observation of geometric phase in a dispersively coupled resonator-qutrit system<xref rid="cpb_27_7_070303fn1" ref-type="fn">*</xref><fn id="cpb_27_7_070303fn1"> <label>*</label><p>Project supported by the National Basic Research Program of China (Grant No. 2014CB921201) and the National Natural Science Foundation of China (Grant Nos. 11434008 and 11574380).</p></fn>

Observation of geometric phase in a dispersively coupled resonator-qutrit system* *

Project supported by the National Basic Research Program of China (Grant No. 2014CB921201) and the National Natural Science Foundation of China (Grant Nos. 11434008 and 11574380).

Zhang Libo¹, Song Chao¹, Wang H^{1, †}, Zheng Shi-Biao^{2, ‡}

(color online) Geometric π-phase gate, which is performed in a separate experiment on a similar device, with MHz, δ_d/2π = 17.1 MHz, Δ_g/2π = 12.5 MHz, Δ_e/2π = 18.8 MHz, and T ≈ 160 ns. Real part of the QPT matrix, χ, for the π-phase geometric gate is expressed in the Pauli basis {I, X, Y, Z}, with a process fidelity of about 0.851 ± 0.001.