论文标题
用于验量量子处理器的量子启发式的数值栅极合成
Numerical Gate Synthesis for Quantum Heuristics on Bosonic Quantum Processors
论文作者
论文摘要
关于量子最佳控制和变异量子算法的相互作用，最近有兴趣和见解激增。我们在Qudits的背景下研究框架，例如，可以将其定义为超导腔系统的可控电磁模式，并耦合到Transmon。通过采用（Petersson和Garcia，2021年）中描述的最新量子最佳控制方法，我们将分别映射到单个模式和两种模式的谐振器模式下，展示了最多八个状态和两Qutrit操作的单Qudit操作的控制。我们讨论了用于实现Qudits量子近似优化算法（QAOA）有用的参数化门上的数值脉冲工程的结果。结果表明，对于大多数正在研究的情况，高保真度（$> 0.99美元）是可以实现的，并且可以扩展到多种模式和开放的嘈杂系统。量身定制的脉冲可以作为电路量子电动力学（CQED）系统中未来编译器的校准原始物进行存储和使用。
There is a recent surge of interest and insights regarding the interplay of quantum optimal control and variational quantum algorithms. We study the framework in the context of qudits which are, for instance, definable as controllable electromagnetic modes of a superconducting cavity system coupled to a transmon. By employing recent quantum optimal control approaches described in (Petersson and Garcia, 2021), we showcase control of single-qudit operations up to eight states, and two-qutrit operations, mapped respectively onto a single mode and two modes of the resonator. We discuss the results of numerical pulse engineering on the closed system for parametrized gates useful to implement Quantum Approximate Optimization Algorithm (QAOA) for qudits. The results show that high fidelity ($>$ 0.99) is achievable with sufficient computational effort for most cases under study, and extensions to multiple modes and open, noisy systems are possible. The tailored pulses can be stored and used as calibrated primitives for a future compiler in circuit quantum electrodynamics (cQED) systems.
