抗垂直时变噪声的任意单轴旋转设计
Designing arbitrary single-axis rotations robust against perpendicular time-dependent noise
摘要：
低频时变噪声是实现完全可扩展量子计算机的主要障碍之一。大多数固态量子位平台，从超导电路到半导体中的自旋，都受到$1/f$噪声的极大影响。在用于抵消噪声对系统的影响的不同控制技术中，动态解耦序列是最有效的控制技术之一。然而，大多数动态解耦序列需要无界的瞬时脉冲，这是非物理的，只能实现身份操作。在限制有界控制字段的方法中，仍然需要使用实验室就绪控制字段实现任意门的协议。在这项工作中，我们引入了一个协议来设计有界和连续的控制领域，实现任意单轴旋转，同时屏蔽系统的低频时间依赖性噪声垂直的控制轴。我们展示了我们的方法的多功能性，提出了一组非负的控制脉冲，可立即适用于量子系统的约束控制，如单重态-三重态自旋量子比特。最后，我们证明了我们的控制脉冲对经典$1/f$噪声和随机量子浴建模的噪声的鲁棒性，表明我们的脉冲甚至可以优于理想的动态解耦序列。
英文摘要：
Low-frequency time-dependent noise is one of the main obstacles on the road towards a fully scalable quantum computer. The majority of solid-state qubit platforms, from superconducting circuits to spins in semiconductors, are greatly affected by $1/f$ noise. Among the different control techniques used to counteract noise effects on the system, dynamical decoupling sequences are one of the most effective. However, most dynamical decoupling sequences require unbounded and instantaneous pulses, which are unphysical and can only implement identity operations. Among methods that do restrict to bounded control fields, there remains a need for protocols that implement arbitrary gates with lab-ready control fields. In this work, we introduce a protocol to design bounded and continuous control fields that implement arbitrary single-axis rotations while shielding the system from low-frequency time-dependent noise perpendicular to the control axis. We show the versatility of our method by presenting a set of non-negative-only control pulses that are immediately applicable to quantum systems with constrained control, such as singlet-triplet spin qubits. Finally, we demonstrate the robustness of our control pulses against classical $1/f$ noise and noise modeled with a random quantum bath, showing that our pulses can even outperform ideal dynamical decoupling sequences.
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