Quantum lower and upper speed limits using reference evolutions
Quantum lower and upper speed limits using reference evolutions
复制标题
DOI：
10.1088/1367-2630/ac7607
复制
发表时间：
2021-12
影响因子：
3.3
通讯作者：
Kazutaka Takahashi
中科院分区：
文献类型：
--
作者：
Kazutaka Takahashi
我们推导了广义量子速度极限不等式，它代表了量子态时间演化的限制。它们是原始不等式的扩展，并应用于时间演化状态和任意状态之间的重叠。除了原始不等式中的上限外，我们还可以讨论Bures角的下限，这使我们能够评估向目标状态进化的处理时间的下限和上限。该不等式采用任意参考状态书写，并灵活地用于获得紧界。我们用扭曲朗道-齐纳模型、格罗弗哈密顿量和周期振荡哈密顿量证明了这些性质。
We derive generalized quantum speed limit inequalities that represent limitations on the time evolution of quantum states. They are extensions of the original inequality and are applied to the overlap between the time-evolved state and an arbitrary state. We can discuss the lower limit of the Bures angle, in addition to the upper limit as in the original inequality, which allows us to evaluate the lower and upper bounds of processing time for the evolution toward a target state. The inequalities are written by using an arbitrary reference state and are flexibly used to obtain a tight bound. We demonstrate these properties by using the twisted Landau–Zener model, the Grover Hamiltonian, and a periodically-oscillating Hamiltonian.