Quantum multiparameter estimation enhanced by a topological phase transition

• URL: http://arxiv.org/abs/2402.07089v1
• Date: Sun, 11 Feb 2024 02:52:39 GMT
• Title: Quantum multiparameter estimation enhanced by a topological phase transition
• Authors: Yu Yang, Haidong Yuan, and Fuli Li
• Abstract summary: In a quantum dynamics system, multiple to-be-estimated parameters are encoded by a unitary evolution. As the parameters vary, the system may undergo a topological phase transition (TPT) We propose the singular behavior of the quantum metric tensor around the TPT point as a tool for the simultaneous optimal estimation of multiple parameters.
• Score: 3.188072216541844
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In quantum multiparameter estimation, multiple to-be-estimated parameters are encoded in a quantum dynamics system by a unitary evolution. As the parameters vary, the system may undergo a topological phase transition (TPT). In this paper, we investigate two SU(2) TPT models and propose the singular behavior of the quantum metric tensor around the TPT point as a tool for the simultaneous optimal estimation of multiple parameters. We find that the proposed TPT sensing protocol can achieve the same metrology performance as the quantum-control-enhanced one. Moreover, the probe state of the TPT sensing protocol is only the ground state of the Hamiltonian rather than the entangled state required in the control-enhanced one. In addition, an adaptive multiparameter estimation strategy is developed for updating the estimated values until the desired quantum Cram\'er-Rao bound is approached. Our work reinforces the connection between quantum multiparameter estimation and topology physics, with potential inspiration for quantum critical metrology.

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