论文标题
超导量子的测量引起的状态转变:在旋转波近似中
Measurement-Induced State Transitions in a Superconducting Qubit: Within the Rotating Wave Approximation
论文作者
论文摘要
超导码比特通常使用分散读数方案,在该方案中,谐振器耦合到量子位,以使其频率取决于量子状态。测量是通过驱动谐振器进行的,在该谐振器中,传输谐振器场得出有关谐振频率以及量子态的信息。理想情况下,我们可以使用任意强的谐振器驱动器在最短的时间内实现目标信噪比。但是,实验表明,当平均谐振器光子数超过一定阈值时,在我们称为测量诱导的状态过渡(MISS)的过程中,量子量会激发其计算子空间。这些过渡降低了读数保真度,并构成泄漏,这排除了量子误差的进一步操作,例如,误差校正。在这里,我们通过在谐振频率低于量子频率的状态下,通过测量量子对频率,平均谐振器光子数和量子状态的依赖性来研究这些过渡。我们观察到在耦合量子谐振系统中的水平之间的共振转变的特征,这些量子谐振系统在时间上反复测量时表现出嘈杂的行为。我们根据旋转波近似提供了这些转变的半古典模型,并使用它来预测我们实验中状态转变的开始。我们的结果表明,在状态过渡之后,Transmon激发了其余弦电位顶部的水平,在这种情况下,较高的Transmon水平的电荷分散体解释了观察到的状态转变的嘈杂行为。此外,我们表明,在这些较高能量水平上的职业对快速量子重置构成了重大挑战。
Superconducting qubits typically use a dispersive readout scheme, where a resonator is coupled to a qubit such that its frequency is qubit-state dependent. Measurement is performed by driving the resonator, where the transmitted resonator field yields information about the resonator frequency and thus the qubit state. Ideally, we could use arbitrarily strong resonator drives to achieve a target signal-to-noise ratio in the shortest possible time. However, experiments have shown that when the average resonator photon number exceeds a certain threshold, the qubit is excited out of its computational subspace in a process we refer to as a measurement-induced state transition (MIST). These transitions degrade readout fidelity, and constitute leakage which precludes further operation of the qubit in, for example, error correction. Here we study these transitions experimentally with a transmon qubit by measuring their dependence on qubit frequency, average resonator photon number, and qubit state, in the regime where the resonator frequency is lower than the qubit frequency. We observe signatures of resonant transitions between levels in the coupled qubit-resonator system that exhibit noisy behavior when measured repeatedly in time. We provide a semi-classical model of these transitions based on the rotating wave approximation and use it to predict the onset of state transitions in our experiments. Our results suggest the transmon is excited to levels near the top of its cosine potential following a state transition, where the charge dispersion of higher transmon levels explains the observed noisy behavior of state transitions. Moreover, we show that occupation in these higher energy levels poses a major challenge for fast qubit reset.