We propose a scheme to realize Controlled-NOT, Controlled-V, Controlled-\(V^{\dag }\) gate based on the indirect coupling of two qubits which are coupled to a common resonator. Based on the state-of-the-art controllability of longitudinal and transverse coupling between a qubit and a resonator, we let the control qubit couple to the resonator longitudinally and the target qubit couple to the resonator transversely. One can get the fidelity of these gates (as well as the synthesized Toffoli gate) over 99% within effective gate timescales. The proposed gate scheme is possible for the experimental setups where the effective qubit–resonator coupling strength is far bigger than the cavity decay rate and the dephasing rate of the qubits and applicable to quantum circuit synthesizing and long-distance qubit interaction.

我们提出了一种实现Controlted-NOT，Controlled-V，Controlled- \（V ^ {\ dag} \）的方案门是基于两个量子位的间接耦合而来的，这两个量子位耦合到一个公共谐振器。基于量子位和谐振器之间纵向和横向耦合的最新可控性，我们让控制量子位纵向耦合到谐振器，目标量子位横向耦合到谐振器。在有效的门限时间内，可以使这些门（以及合成的Toffoli门）的保真度超过99％。对于有效的量子位-谐振器耦合强度远大于腔衰变速率和量子位的相移速率的实验设置，提出的门方案可能是可行的，并且适用于量子电路合成和长距离量子位相互作用。