Shortcut-to-adiabaticity-like techniques for parameter estimation in quantum metrology

• URL: http://arxiv.org/abs/2010.05828v3
• Date: Wed, 4 Nov 2020 10:25:47 GMT
• Title: Shortcut-to-adiabaticity-like techniques for parameter estimation in quantum metrology
• Authors: Marina Cabedo-Olaya, Juan Gonzalo Muga, and Sof\'ia Mart\'inez-Garaot
• Abstract summary: We propose a Shortcut-to-adiabaticity (STA)-like method, specifically an approach formally similar to the "counterdiabatic approach" We revisit this work from the point of view of STA to set the relations and differences between STA-like methods in metrology and ordinary STA. In particular we explore the use of physical unitary transformations to propose alternative time-dependent Hamiltonians.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum metrology makes use of quantum mechanics to improve precision measurements and measurement sensitivities. It is usually formulated for time-independent Hamiltonians but time-dependent Hamiltonians may offer advantages, such as a $T^4$ time dependence of the Fisher information which cannot be reached with a time-independent Hamiltonian. In Optimal adaptive control for quantum metrology with time-dependent Hamiltonians (Nature Communications 8, 2017), Shengshi Pang and Andrew N. Jordan put forward a Shortcut-to-adiabaticity (STA)-like method, specifically an approach formally similar to the "counterdiabatic approach", adding a control term to the original Hamiltonian to reach the upper bound of the Fisher information. We revisit this work from the point of view of STA to set the relations and differences between STA-like methods in metrology and ordinary STA. This analysis paves the way for the application of other STA-like techniques in parameter estimation. In particular we explore the use of physical unitary transformations to propose alternative time-dependent Hamiltonians which may be easier to implement in the laboratory.

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