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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