Estimating phase with a random generator: Strategies and resources in multiparameter quantum metrology

Abstract

Quantum metrology aims to exploit quantum phenomena to overcome classical limitations in the estimation of relevant parameters. We consider a probe undergoing a phase shift $\phi$ whose generator is randomly sampled according to a distribution with unknown concentration $\kappa$, which introduces a physical source of noise. We then investigate strategies for the joint estimation of the two parameters $\phi$ and $\kappa$ given a finite number $N$ of interactions with the phase imprinting channel. We consider both single qubit and multipartite entangled probes, and identify regions of the parameters where simultaneous estimation is advantageous, resulting in up to a twofold reduction in resources. Quantum enhanced precision is achievable at moderate $N$, while for sufficiently large $N$ classical strategies take over and the precision follows the standard quantum limit. We show that full-scale entanglement is not needed to reach such an enhancement, as efficient strategies using significantly fewer qubits in a scheme interpolating between the conventional sequential and parallel metrological schemes yield the same effective performance. These results may have relevant applications in optimization of sensing technologies.

10 pages, 12 figures. To appear in Physical Review A

References in corpus (49)

• Advances in Quantum Metrology
• Quantum-enhanced measurements: beating the standard quantum limit
• Quantum metrology
• Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
• 14-qubit entanglement: creation and coherence
• On the Improvement of Frequency Stardards with Quantum Entanglement
• A gravitational wave observatory operating beyond the quantum shot-noise limit: Squeezed light in application
• General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
• The elusive Heisenberg limit in quantum enhanced metrology
• Quantum Metrology in Non-Markovian Environments
• Biological measurement beyond the quantum limit
• Optimal Quantum Phase Estimation
• Quantum Enhanced Multiple Phase Estimation
• Using entanglement against noise in quantum metrology
• Quantum phase estimation with lossy interferometers
• Magnetic field imaging with NV ensembles
• Compatibility in Multiparameter Quantum Metrology
• Quantum discord determines the interferometric power of quantum states
• Multi-parameter Quantum Metrology
• Experimental quantum-enhanced estimation of a lossy phase shift
• Quantum enhanced estimation of a multi-dimensional field
• Magnet field sensing beyond the standard quantum limit under the effect of decoherence
• The ultimate precision limits for noisy frequency estimation
• Efficient tools for quantum metrology with uncorrelated noise
• Quantum Fisher information for states in exponential form
• Measuring protein concentration with entangled photons
• Optimal estimation of joint parameters in phase space
• A tradeoff in simultaneous quantum-limited phase and loss estimation in interferometry
• Single-Mode Displacement Sensor
• Quantum metrology with open dynamical systems
• Gaussian systems for quantum enhanced multiple phase estimation
• Measurement of damping and temperature: Precision bounds in Gaussian dissipative channels
• Quantum metrology with unitary parametrization processes
• Quantum-enhanced metrology for multiple phase estimation with noise
• Local versus Global Strategies in Multi-parameter Estimation
• The quantum Bell-Ziv-Zakai bounds and Heisenberg limits for waveform estimation
• Magnetic field sensors using 13-spin cat states
• Estimation of unitary quantum operations
• Quantum multiparameter metrology with generalized entangled coherent state
• A search algorithm for quantum state engineering and metrology
• Entanglement is not very useful for estimating multiple phases
• Quantum estimation of a two-phase spin rotation
• The role of entanglement in calibrating optical quantum gyroscopes
• Practical Quantum Metrology in Noisy Environments
• Optimal networks for Quantum Metrology: semidefinite programs and product rules
• Building versatile bipartite probes for quantum metrology
• Networked quantum sensing
• Enhancement of Frequency Estimation by Spatially Correlated Environments
• Noisy Metrology: A saturable lower bound on quantum Fisher information

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• Super-Resolution Imaging with Multiparameter Quantum Metrology in Passive Remote Sensing
• Estimating energy levels of a three-level atom in single and multi-parameter metrological schemes
• Noisy frequency estimation with noisy probes
• Improving the precision of multiparameter estimation in the teleportation of qutrit under amplitude damping noise
• Relativistic quantum thermometry through a moving sensor
• Discrete time crystal for periodic-field sensing with quantum-enhanced precision
• From Independent to Joint: Enhancing Quantum Phase and Correlation Factor Estimation by Squeezed Reservoir Engineering