论文标题
使用几何空间曲线设计动态校正的大门对多个噪声源
Designing dynamically corrected gates robust to multiple noise sources using geometric space curves
论文作者
论文摘要
噪声引起的门错误仍然是实现广泛的量子信息技术的主要障碍之一。使用精心设计的控制方案的动态误差抑制对于克服这一挑战至关重要。此类方案必须能够针对同时折磨量子的多个噪声源进行纠正，以达到误差校正阈值。在这里，我们提出了一个通用框架，用于设计控制场，该框架同时抑制了磁场本身的两个噪声以及横向发出的噪声。使用最近开发的空间曲线量子控制形式主义，其中稳健的量子演化被映射到多维欧几里得空间中的封闭几何曲线，我们得出了必要和充分的条件，以确保取消两种类型的噪声以领先顺序。我们提出了几种解决这些条件并提供抗错误控制场的示例的技术。我们的工作还阐明了自动进化与抑制控制场误差之间的关系。
Noise-induced gate errors remain one of the main obstacles to realizing a broad range of quantum information technologies. Dynamical error suppression using carefully designed control schemes is critical for overcoming this challenge. Such schemes must be able to correct against multiple noise sources simultaneously afflicting a qubit in order to reach error correction thresholds. Here, we present a general framework for designing control fields that simultaneous suppress both noise in the fields themselves as well as transverse dephasing noise. Using the recently developed Space Curve Quantum Control formalism, in which robust quantum evolution is mapped to closed geometric curves in a multidimensional Euclidean space, we derive necessary and sufficient conditions that guarantee the cancellation of both types of noise to leading order. We present several techniques for solving these conditions and provide explicit examples of error-resistant control fields. Our work also sheds light on the relation between holonomic evolution and the suppression of control field errors.
