论文标题
根据量子门分类的时间最佳控制
Time optimal control based on classification of quantum gates
论文作者
论文摘要
我们研究在两个异核旋转系统中实施任意两分门的最短时间。我们基于局部等价的不变性对两分门的系统表征。量子门分为四个类，对于每个类别的最小实现量子门的分析公式。对于给定的量子门，通过计算相应的不变式，可以轻松获得量子门所属的类。特别是，我们分析了全球阶段对实施门的最短时间的影响。我们的结果介绍了在两个异核旋转系统中实现任意两倍闸门的最佳时间问题的完整解决方案。给出了具有或没有全球阶段的典型的两分门详细示例。
We study the minimum time to implement an arbitrary two-qubit gate in two heteronuclear spins systems. We give a systematic characterization of two-qubit gates based on the invariants of local equivalence. The quantum gates are classified into four classes, and for each class the analytical formula of the minimum time to implement the quantum gates is explicitly presented. For given quantum gates, by calculating the corresponding invariants one easily obtains the classes to which the quantum gates belong. In particular, we analyze the effect of global phases on the minimum time to implement the gate. Our results present complete solutions to the optimal time problem in implementing an arbitrary two-qubit gate in two heteronuclear spins systems. Detailed examples are given to typical two-qubit gates with or without global phases.
