Average fidelity estimation of twirled noisy quantum channel using unitary 2<i>t</i>-design<xref rid="cpb_28_1_010304fn1" ref-type="fn">*</xref> <fn id="cpb_28_1_010304fn1"> <label>*</label> <p>Project supported by the National Natural Science Foundation of China (Grant Nos. 61372076 and 61701375), the 111 Project, China (Grant No. B08038), the Key Research and Development Plan of Shannxi Province, China (Grant No. BBD24017290001), and the Foundation of Science and Technology on Communication Networks Laboratory, China (Grant No. KX172600031).</p> </fn>

Average fidelity estimation of twirled noisy quantum channel using unitary 2t-design* *

Project supported by the National Natural Science Foundation of China (Grant Nos. 61372076 and 61701375), the 111 Project, China (Grant No. B08038), the Key Research and Development Plan of Shannxi Province, China (Grant No. BBD24017290001), and the Foundation of Science and Technology on Communication Networks Laboratory, China (Grant No. KX172600031).

Zhang Linxi^{1, 2, †}, Zhu Changhua¹, Pei Changxing¹

Average fidelity estimation of (m + 1)-stage quantum circuits using unitary 2t-designs. In these examples, we assume that we implement perfect quantum devices and have on SPAM, where d = 2, n = 1, and t = 6. We assume that the fidelity of the first noise channel is 0.99. The strength parameter is p⁽⁰⁾ = 0.9925 in the zeroth-order case and p⁽¹⁾ = 0.9775 in the first-order case. In the first-order case, the perturbation of the strength parameter δ p⁽¹⁾ is from [10⁻⁴,10⁻³].