Precision Bounds for Characterising Quantum Measurements
arXiv:2512.20091 · doi:10.1038/s41467-026-68529-7
Abstract
Quantum measurements, alongside quantum states and processes, form a cornerstone of quantum information processing. However, unlike states and processes, their efficient characterisation remains relatively unexplored. We resolve this asymmetry by introducing a comprehensive framework for efficient detector estimation that reveals the fundamental limits to extractable parameter information and errors arising in detector analysis - the detector quantum Fisher information. Our development eliminates the need to optimise for the best probe state, while highlighting aspects of detector analysis that fundamentally differ from quantum state estimation. Through proofs, examples and experimental validation, we demonstrate the relevance and robustness of our proposal for current quantum detector technologies. By formalising a dual perspective to state estimation, our framework completes and connects the triad of efficient state, process, and detector tomography, advancing quantum information theory with broader implications for emerging technologies reliant on precisely calibrated measurements.
Published in Nat. Commun. (2026), presented at AIP (2025); 9 + 4 + 30 pages (main + methods + supplemental), 4 + 11 figures (main + supplemental)
References in corpus (42)
- Quantum metrology
- A Quantum Engineer's Guide to Superconducting Qubits
- Quantum metrology with nonclassical states of atomic ensembles
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
- Unknown Quantum States and Operations, a Bayesian View
- The elusive Heisenberg limit in quantum enhanced metrology
- Quantum Fisher information matrix and multiparameter estimation
- Direct Measurement of the Quantum Wavefunction
- Measuring measurement
- Quantum weak values
- Ancilla-assisted quantum process tomography
- Single-qubit quantum memory exceeding -minute coherence time
- Quantum enhanced estimation of a multi-dimensional field
- Efficient learning of quantum noise
- Optimal measurements for simultaneous quantum estimation of multiple phases
- Multiparameter Quantum Metrology of Incoherent Point Sources: Towards Realistic Superresolution
- Detector Tomography on IBM 5-qubit Quantum Computers and Mitigation of Imperfect Measurement
- Fisher Information in Noisy Intermediate-Scale Quantum Applications
- Measuring Measurement: Theory and Practice
- Simple expression for the quantum Fisher information matrix
- Approaching optimal entangling collective measurements on quantum computing platforms
- Ultimate precision of multi-parameter quantum magnetometry under the parallel scheme
- Quantum detector tomography of superconducting nanostrip photon-number-resolving detector
- Tomography increases key rates of quantum-key-distribution protocols
- On superresolution imaging as a multiparameter estimation problem
- Optimal estimation of one parameter quantum channels
- Quantum Metrology: Extended Convexity of Quantum Fisher Information
- Ancilla-Assisted Calibration of a Measuring Apparatus
- Reaching for the quantum limits in the simultaneous estimation of phase and phase diffusion
- Tight Cramér-Rao type bounds for multiparameter quantum metrology through conic programming
- Quantum sensors for dynamical tracking of chemical processes
- Independent State and Measurement Characterization for Quantum Computers
- Quantum detector tomography of a 2x2 multi-pixel array of superconducting nanowire single photon detectors
- Positive Operator-Valued Measure reconstruction of a beam-splitter tree based photon-number-resolving detector
- Discriminating mixed qubit states with collective measurements
- Quantum metrology using quantum combs and tensor network formalism
- Finding the optimal probe state for multiparameter quantum metrology using conic programming
- Quantum detector tomography of a high dynamic-range superconducting nanowire single-photon detector
- Multiparameter estimation with two qubit probes in noisy channels
- Existence of unbiased resilient estimators in discrete quantum systems
- Holevo Cramér-Rao bound: How close can we get without entangling measurements?