Optimal and Variational Multi-Parameter Quantum Metrology and Vector Field Sensing
arXiv:2302.07785 · doi:10.1103/PRXQuantum.4.020333
Abstract
We study multi-parameter sensing of 2D and 3D vector fields within the Bayesian framework for quantum interferometry. We establish a method to determine the optimal quantum sensor, which establishes the fundamental limit on the precision of simultaneously estimating multiple parameters with an -atom sensor. Keeping current experimental platforms in mind, we present sensors that have limited entanglement capabilities, and yet, significantly outperform sensors that operate without entanglement and approach the optimal quantum sensor in terms of performance. Furthermore, we show how these sensors can be implemented on current programmable quantum sensors with variational quantum circuits by minimizing a metrological cost function. The resulting circuits prepare tailored entangled states and perform measurements in an appropriate entangled basis to realize the best possible quantum sensor given the native entangling resources available on a given sensor platform. Notable examples include a 2D and 3D quantum ``compass'' and a 2D sensor that provides a scalable improvement over unentangled sensors. Our results on optimal and variational multi-parameter quantum metrology are useful for advancing precision measurements in fundamental science and ensuring the stability of quantum computers, which can be achieved through the incorporation of optimal quantum sensors in a quantum feedback loop.
arXiv comment20 pages, 8 figures
References in corpus (69)
- Quantum Computing in the NISQ era and beyond
- Quantum sensing
- Variational Quantum Algorithms
- Optical Magnetometry
- Quantum metrology with nonclassical states of atomic ensembles
- Cold and Ultracold Molecules: Science, Technology, and Applications
- 14-qubit entanglement: creation and coherence
- Nonlinear atom interferometer surpasses classical precision limit
- Atom chip based generation of entanglement for quantum metrology
- Quantum Fisher information matrix and multiparameter estimation
- Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
- Implementation of Cavity Squeezing of a Collective Atomic Spin
- Quantum noise limited and entanglement-assisted magnetometry
- Ion-trap measurements of electric-field noise near surfaces
- High-Fidelity Entanglement and Detection of Alkaline-Earth Rydberg Atoms
- Atom Based Vector Microwave Electrometry Using Rubidium Rydberg Atoms in a Vapor Cell
- Quantum Enhanced Multiple Phase Estimation
- A universal qudit quantum processor with trapped ions
- Magnetic sensitivity beyond the projection noise limit by spin squeezing
- Rydberg mediated entanglement in a two-dimensional neutral atom qubit array
- Scalable Architecture for a Room Temperature Solid-State Quantum Information Processor
- Quantum enhanced estimation of a multi-dimensional field
- A Geometric Perspective on Quantum Parameter Estimation
- Fundamental Quantum Limit to Waveform Estimation
- Quantum-enhanced sensing of displacements and electric fields with large trapped-ion crystals
- Fisher information in quantum statistics
- Quantum metrology with a scanning probe atom interferometer
- Optimal metrology with programmable quantum sensors
- Multi-parameter estimation beyond Quantum Fisher Information
- Sensitivity Bounds for Multiparameter Quantum Metrology
- High-dimensional quantum gates using full-field spatial modes of photons
- Variational spin-squeezing algorithms on programmable quantum sensors
- Optimal purification of single qubits
- Efficient use of quantum resources for the transmission of a reference frame
- Evaluating the Holevo Cramér-Rao bound for multi-parameter quantum metrology
- Electron-Mediated Nuclear-Spin Interactions Between Distant NV Centers
- Long-lived Bell states in an array of optical clock qubits
- Quantum Variational Optimization of Ramsey Interferometry and Atomic Clocks
- Bayesian quantum frequency estimation in presence of collective dephasing
- Variational-State Quantum Metrology
- Scaling the neutral atom Rydberg gate quantum computer by collective encoding in Holmium atoms
- Quantum-enhanced sensing using non-classical spin states of a highly magnetic atom
- Quantifying Quantumness and the Quest for Queens of Quantum
- Multiparameter squeezing for optimal quantum enhancements in sensor networks
- Tight bounds on the simultaneous estimation of incompatible parameters
- Approaching optimal entangling collective measurements on quantum computing platforms
- Microwave-free vector magnetometry with nitrogen-vacancy centers along a single axis in diamond
- Optimal state for keeping reference frames aligned and the Platonic solids
- Quantum reverse-engineering and reference frame alignment without non-local correlations
- Controlling Dipolar Exchange Interactions in a Dense 3D Array of Large Spin Fermions
- Vector magnetometry based on S=3/2 electronic spins
- Frequentist and Bayesian Quantum Phase Estimation
- Covariant quantum measurements which maximize the likelihood
- Optimal encoding and decoding of a spin direction
- Extremal quantum states and their Majorana constellations
- Prospects and challenges for squeezing-enhanced optical atomic clocks
- Real-time vector field tracking with a cold-atom magnetometer
- Ramsey interferometry with generalized one-axis twisting echoes
- Quantum metrology at the limit with extremal Majorana constellations
- Realization of a Rydberg-dressed Ramsey interferometer and electrometer
- Fast rate estimation of an unitary operation in SU(d)
- Quantum estimation of a two-phase spin rotation
- Nanoscale vector AC magnetometry with a single nitrogen-vacancy center in diamond
- On-Line Estimation of Local Oscillator Noise and Optimisation of Servo Parameters in Atomic Clocks
- Self-calibrating vector atomic magnetometry through microwave polarization reconstruction
- Quantum-limited estimation of range and velocity
- Theory of long range interactions for Rydberg states attached to hyperfine split cores
- Preparation of Metrological States in Dipolar-Interacting Spin Systems
- Multiparameter quantum metrology in the Heisenberg Limit regime: many repetition scenario vs. full optimization
Cited by in corpus (25)
- Quantum sensing with atomic, molecular, and optical platforms for fundamental physics
- Entanglement-enhanced quantum metrology: from standard quantum limit to Heisenberg limit
- Review: Quantum Metrology and Sensing with Many-Body Systems
- Optimal Generators for Quantum Sensing
- Dicke State Generation and Extreme Spin Squeezing via Rapid Adiabatic Passage
- Designing optimal protocols in Bayesian quantum parameter estimation with higher-order operations
- Multiparameter quantum sensing and magnetic communications with a hybrid dc and rf optically pumped magnetometer
- Fully-Optimized Quantum Metrology: Framework, Tools, and Applications
- Uncertain Quantum Critical Metrology: From Single to Multi Parameter Sensing
- Private and Robust States for Distributed Quantum Sensing
- Quantum delocalization on correlation landscape: The key to exponentially fast multipartite entanglement generation
- Bilayer crystals of trapped ions for quantum information processing
- Photonic quantum metrology with variational quantum optical non-linearities
- Model-aware reinforcement learning for high-performance Bayesian experimental design in quantum metrology
- Applications of model-aware reinforcement learning in Bayesian quantum metrology
- Enhancing Dynamic Range of Sub-Quantum-Limit Measurements via Quantum Deamplification
- QuanEstimation.jl: An open-source Julia framework for quantum parameter estimation
- Multiparameter estimation with two qubit probes in noisy channels
- Driven-dissipative four-mode squeezing of multilevel atoms in an optical cavity
- More buck-per-shot: Why learning trumps mitigation in noisy quantum sensing
- Quantum multiphase estimation
- Minimal-noise estimation of noncommuting rotations of a spin
- Bosonic Entanglement and Quantum Sensing from Energy Transfer in two-tone Floquet Systems
- Quantum-enhanced learning with a controllable bosonic variational sensor network
- Multiparameter quantum estimation with Gaussian states: efficiently evaluating Holevo, RLD and SLD Cramér-Rao bounds