Adiabatic critical quantum metrology cannot reach the Heisenberg limit even when shortcuts to adiabaticity are applied
Adiabatic critical quantum metrology cannot reach the Heisenberg limit even when shortcuts to adiabaticity are applied
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DOI：
10.22331/q-2021-07-01-489
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发表时间：
2021-06-25
期刊：
影响因子：
6.4
通讯作者：
Li, Jing
中科院分区：
文献类型：
--
作者：
Gietka, Karol;Metz, Friederike;Li, Jing
我们证明了在临界量子计量学的辅助方法中获得的量子Fisher信息不会导致精度的海森-伯格极限，因此在最优设置下的常规量子计量学总是优越的。此外，我们认为，尽管绝热的捷径可以任意减少制备临界基态的时间，但它们不能用来达到或克服Adibatic临界量子计量学中量子参数估计的海森堡极限。作为算例，我们探索了反非绝热驱动在Landau-Zener模型和量子Rabi模型中的应用。
We show that the quantum Fisher information attained in an adia-batic approach to critical quantum metrology cannot lead to the Heisen-berg limit of precision and therefore regular quantum metrology under optimal settings is always superior. Furthermore, we argue that even though shortcuts to adiabaticity can arbitrarily decrease the time of preparing critical ground states, they cannot be used to achieve or over-come the Heisenberg limit for quantum parameter estimation in adia-batic critical quantum metrology. As case studies, we explore the appli-cation of counter-diabatic driving to the Landau-Zener model and the quantum Rabi model.