Super-Heisenberg scaling in Hamiltonian parameter estimation in the long-range Kitaev chain

• URL: http://arxiv.org/abs/2104.07120v2
• Date: Mon, 1 Nov 2021 10:07:06 GMT
• Title: Super-Heisenberg scaling in Hamiltonian parameter estimation in the long-range Kitaev chain
• Authors: Jing Yang, Shengshi Pang, Adolfo del Campo and Andrew N. Jordan
• Abstract summary: We consider the estimation of the interaction strength in linear systems with long-range interactions. We show that quantum control can improve the prefactor of the quantum Fisher information.
• Score: 2.3058787297835686
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: In quantum metrology, nonlinear many-body interactions can enhance the precision of Hamiltonian parameter estimation to surpass the Heisenberg scaling. Here, we consider the estimation of the interaction strength in linear systems with long-range interactions and using the Kitaev chains as a case study, we establish a transition from the Heisenberg to super-Heisenberg scaling in the quantum Fisher information by varying the interaction range. We further show that quantum control can improve the prefactor of the quantum Fisher information. Our results explore the advantage of optimal quantum control and long-range interactions in many-body quantum metrology.

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