论文标题
Qudit门的动力学以及观众模式对最佳控制脉冲的影响
Dynamics of qudit gates and effects of spectator modes on optimal control pulses
论文作者
论文摘要
可以使用数值量子最佳控制技术以高精度合成高维量子计算的Qudit门。大型电路被分解为模块，每个模块的量身定制脉冲可以用作Qudit编译器的原始脉冲。在存在额外模式的情况下，每个模块的脉冲的应用可能会降低其串扰造成的有效性。在本文中，我们通过模拟电路量子电动力学（CQED）系统来解决此问题。作为测试案例，我们将脉冲用于隔离优化的单量交换门，然后在存在观众模式的情况下将它们应用它们。我们提供了一个实验相关的缩放公式，该公式可以用作保真度衰减的结合。我们的结果表明，从观众模式种群中频率转移必须为Qudit非线性的$ \ Lessim 0.1 \％$，以使高保真单Qudit大门在存在的存在下有用。
Qudit gates for high-dimensional quantum computing can be synthesized with high precision using numerical quantum optimal control techniques. Large circuits are broken down into modules and the tailored pulses for each module can be used as primitives for a qudit compiler. Application of the pulses of each module in the presence of extra modes may decrease their effectiveness due to crosstalk. In this paper, we address this problem by simulating qudit dynamics for circuit quantum electrodynamics (cQED) systems. As a test case, we take pulses for single-qudit SWAP gates optimized in isolation and then apply them in the presence of spectator modes each of which are in Fock states. We provide an experimentally relevant scaling formula that can be used as a bound on the fidelity decay. Our results show that frequency shift from spectator mode populations has to be $\lesssim 0.1\%$ of the qudit's nonlinearity in order for high-fidelity single-qudit gates to be useful in the presence of occupied spectator modes.
