Quantum multiparameter estimation enhanced by a topological phase transition
arXiv:2402.07089 · doi:10.1103/PhysRevA.109.022604
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 Cramér-Rao bound is approached. Our work reinforces the connection between quantum multiparameter estimation and topology physics, with potential inspiration for quantum critical metrology.
arXiv comment16 pages, 6 figures, 1 table
References in corpus (34)
- Quantum Fisher information matrix and multiparameter estimation
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- Geometry and non-adiabatic response in quantum and classical systems
- Critical Quantum metrology with a finite-component quantum phase transition
- A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging
- Exponentially-enhanced quantum sensing with non-Hermitian lattice dynamics
- A new approach to the Cramer-Rao type bound of the pure state model
- Optimal measurements for simultaneous quantum estimation of multiple phases
- Geometry of quantum phase transitions
- Quantum metrology for a general Hamiltonian parameter
- Experimental Measurement of the Quantum Metric Tensor and Related Topological Phase Transition with a Superconducting Qubit
- Relations between topology and the quantum metric for Chern insulators
- On quantumness in multi-parameter quantum estimation
- Extracting the quantum metric tensor through periodic driving
- Experimental measurement of the quantum geometric tensor using coupled qubits in diamond
- Critical parametric quantum sensing
- Sequential feedback scheme outperforms the parallel scheme for Hamiltonian parameter estimation
- Microwave Spectroscopy Reveals the Quantum Geometric Tensor of Topological Josephson Matter
- Incorporating Heisenberg's Uncertainty Principle into Quantum Multiparameter Estimation
- Revealing tensor monopoles through quantum-metric measurements
- Tight bounds on the simultaneous estimation of incompatible parameters
- Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
- Probe incompatibility in multiparameter noisy quantum metrology
- Relating the topology of Dirac Hamiltonians to quantum geometry: When the quantum metric dictates Chern numbers and winding numbers
- Strong quantum metrological limit from many-body physics
- Incompatibility in Quantum Parameter Estimation
- The Euler Number of Bloch States Manifold and the Quantum Phases in Gapped Fermionic Systems
- Dynamical quantum phase transitions in a spinor Bose-Einstein condensate and criticality enhanced quantum sensing
- Toward Incompatible Quantum Limits on Multiparameter Estimation
- Generalizable control for multiparameter quantum metrology
- Incompatibility measures in multi-parameter quantum estimation under hierarchical quantum measurements
- Two-parameter Hong-Ou-Mandel dip
- Multiparameter simultaneous optimal estimation with an SU(2) coding unitary evolution
- Exclusive Hong-Ou-Mandel zero-coincidence point