Experimental demonstration of topological bounds in quantum metrology
arXiv:2206.00546 · doi:10.1093/nsr/nwae065
Abstract
Quantum metrology is deeply connected to quantum geometry, through the fundamental notion of quantum Fisher information. Inspired by advances in topological matter, it was recently suggested that the Berry curvature and Chern numbers of band structures can dictate strict lower bounds on metrological properties, hence establishing a strong connection between topology and quantum metrology. In this work, we provide a first experimental verification of such topological bounds, by performing optimal quantum multi-parameter estimation and achieving the best possible measurement precision. By emulating the band structure of a Chern insulator, we experimentally determine the metrological potential across a topological phase transition, and demonstrate strong enhancement in the topologically non-trivial regime. Our work opens the door to metrological applications empowered by topology, with potential implications for quantum many-body systems.
arXiv comment6 pages, 4 figures + 13 pages (SI), comments are welcome
References in corpus (57)
- Topological insulators and superconductors
- Berry Phase Effects on Electronic Properties
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Quantum sensing
- Advances in Quantum Metrology
- Topological Field Theory of Time-Reversal Invariant Insulators
- Quantum metrology with nonclassical states of atomic ensembles
- Symmetric Informationally Complete Quantum Measurements
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
- Quantum Fisher information matrix and multiparameter estimation
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Superfluidity in topologically nontrivial flat bands
- Fisher information and multiparticle entanglement
- Quantum limits in optical interferometry
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- Quantum enhanced measurements without entanglement
- Fisher Information and entanglement of non-Gaussian spin states
- Generalized Limits for Single-Parameter Quantum Estimation
- Measuring multipartite entanglement via dynamic susceptibilities
- Superfluidity and Quantum Geometry in Twisted Multilayer Systems
- Quantum criticality as a resource for quantum estimation
- Compatibility in Multiparameter Quantum Metrology
- The Insulating State of Matter: A Geometrical Theory
- Multi-parameter Quantum Metrology
- Direct measurement of the quantum geometric tensor in a two-dimensional continuous medium
- The SIC Question: History and State of Play
- A Geometric Perspective on Quantum Parameter Estimation
- A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging
- A new approach to the Cramer-Rao type bound of the pure state model
- Multi-parameter estimation beyond Quantum Fisher Information
- Bloch state tomography using Wilson lines
- Measuring quantized circular dichroism in ultracold topological matter
- 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
- Experimental measurement of the quantum geometric tensor using coupled qubits in diamond
- Microwave Spectroscopy Reveals the Quantum Geometric Tensor of Topological Josephson Matter
- Experimental multiphase estimation on a chip
- Global sensing and its impact for quantum many-body probes with criticality
- Quantum Fisher information from randomized measurements
- Metrological complementarity reveals the Einstein-Podolsky-Rosen paradox
- Quantum Fisher information measurement and verification of the quantum Cramér-Rao bound in a solid-state qubit
- Many-body nonlocality as a resource for quantum-enhanced metrology
- Experimental estimation of the quantum Fisher information from randomized measurements
- Entangling measurements for multiparameter estimation with two qubits
- Many-body Chern number without integration
- Metrological characterisation of non-Gaussian entangled states of superconducting qubits
- Observing information backflow from controllable non-Markovian multi-channels in diamond
- Relating the topology of Dirac Hamiltonians to quantum geometry: When the quantum metric dictates Chern numbers and winding numbers
- Free-Fermionic Topological Quantum Sensors
- Universally Fisher-Symmetric Informationally Complete Measurements
- Fisher-symmetric informationally complete measurements for pure states
- Quantum-enhanced tomography of unitary processes
- Quantum simulations with complex geometries and synthetic gauge fields in a trapped ion chain
- Direct Geometric Probe of Singularities in Band Structure
- Berry's phase in view of quantum estimation theory, and its intrinsic relation with the complex structure
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- Modular Many-Body Quantum Sensors
- Identifying non-Hermitian critical points with quantum metric
- Non-Abelian quantum geometric tensor in degenerate topological semimetals
- Nonlinearity-enhanced quantum sensing in Stark probes
- Quantum geometry of bosonic Bogoliubov quasiparticles
- Assessing small accelerations using a bosonic Josephson junction
- Saturable global quantum sensing
- Quantum geometric bounds in spinful systems with trivial band topology
- Quantum Enhanced Sensitivity through Many-Body Bloch Oscillations
- Circular Dichroism on the Edge of Quantum Hall Systems: From Many-Body Chern Number to Anisotropy Measurements
- Floquet quantum multiparameter estimation with periodic-driving-induced topological phase transition