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arXiv 2403.14765quant-ph
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大型开放量子系统中的最优控制:transmon 读取与复位案例

Optimal control in large open quantum systems: the case of transmon readout and reset

Ronan Gautier, Élie Genois, Alexandre Blais

AI总结:

本文提出结合伴随态方法与反时间反向传播的可扩展低内存框架,优化 Lindblad 开放量子系统控制,并在 transmon 色散读取和全微波复位中实现保真度与速度的 2 倍提升。

摘要:

我们提出了一个将伴随态方法与反时间反向传播相结合的框架,用于求解规模大到难以处理的开放系统量子控制问题。该方法能够针对由 Lindblad 主方程描述的大型开放量子系统,在施加完全通用控制的情况下优化任意代价函数。它具有可扩展性、计算高效性和低内存占用。我们将该框架用于优化超导量子比特中两类固有耗散操作:色散读取和 transmon 量子比特的全微波复位;与其他幺正操作相比,这两类操作在保真度和持续时间方面仍显落后。结果表明,尽管用于色散读取的标准脉冲已接近最优,但在协议期间加入 transmon 驱动可使保真度和持续时间获得 2 倍改善。我们进一步证明,通过脉冲整形,复位保真度和持续时间也可获得 2 倍改善,表明复位协议具有显著提升潜力。该方法可直接用于优化多种应用中的量子控制,如库工程、自主量子纠错和泄漏减少单元。

英文摘要:

We present a framework that combines the adjoint-state method together with reverse-time backpropagation to solve prohibitively large open-system quantum control problems. Our approach enables the optimization of arbitrary cost functions with fully general controls applied on large open quantum systems described by a Lindblad master equation. It is scalable, computationally efficient, and has a low-memory footprint. We apply this framework to optimize two inherently dissipative operations in superconducting qubits which lag behind in terms of fidelity and duration compared to other unitary operations: the dispersive readout and all-microwave reset of a transmon qubit. Our results show that while standard pulses for dispersive readout are nearly optimal, adding a transmon drive during the protocol can yield 2x improvements in fidelity and duration. We further demonstrate a 2x improvement in reset fidelity and duration through pulse shaping, indicating significant potential for enhancement in reset protocols. Our approach can readily be applied to optimize quantum controls in a vast range of applications such as reservoir engineering, autonomous quantum error correction, and leakage-reduction units.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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