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.
6 pages, 4 figures + 13 pages (SI), comments are welcome
References in corpus (21)
- Topological Field Theory of Time-Reversal Invariant Insulators
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Fisher Information and entanglement of non-Gaussian spin states
- Generalized Limits for Single-Parameter Quantum Estimation
- Superfluidity and Quantum Geometry in Twisted Multilayer Systems
- Quantum criticality as a resource for quantum estimation
- 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 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
- Many-body nonlocality as a resource for quantum-enhanced metrology
- Experimental estimation of the quantum Fisher information from randomized measurements
- Metrological characterisation of non-Gaussian entangled states of superconducting qubits
- 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
- Quantum simulations with complex geometries and synthetic gauge fields in a trapped ion chain
- Direct Geometric Probe of Singularities in Band Structure
Cited by in corpus (14)
- Review: Quantum Metrology and Sensing with Many-Body Systems
- Optical manifestations and bounds of topological Euler class
- Discrete Time Crystal Phase as a Resource for Quantum Enhanced Sensing
- 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