Adiabatic critical quantum metrology cannot reach the Heisenberg limit even when shortcuts to adiabaticity are applied

• URL: http://arxiv.org/abs/2103.12939v2
• Date: Fri, 25 Jun 2021 02:37:47 GMT
• Title: Adiabatic critical quantum metrology cannot reach the Heisenberg limit even when shortcuts to adiabaticity are applied
• Authors: Karol Gietka, Friederike Metz, Tim Keller, and Jing Li
• Abstract summary: We show that the quantum Fisher information attained in an adiabatic approach to critical quantum metrology cannot lead to the Heisenberg limit of precision. As case studies, we explore the application of counter-diabatic driving to the Landau-Zener model and the quantum Rabi model.
• Score: 2.39698636522191
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We show that the quantum Fisher information attained in an adiabatic approach to critical quantum metrology cannot lead to the Heisenberg 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 overcome the Heisenberg limit for quantum parameter estimation in adiabatic critical quantum metrology. As case studies, we explore the application of counter-diabatic driving to the Landau-Zener model and the quantum Rabi model.

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