Privacy in networks of quantum sensors

Abstract

We treat privacy in a network of quantum sensors where accessible information is limited to specific functions of the network parameters, and all other information remains private. We develop an analysis of privacy in terms of a manipulation of the quantum Fisher information matrix, and find the optimal state achieving maximum privacy in the estimation of linear combination of the unknown parameters in a network of quantum sensors. We also discuss the effect of uncorrelated noise on the privacy of the network. Moreover, we illustrate our results with an example where the goal is to estimate the average value of the unknown parameters in the network. In this example, we also introduce the notion of quasi-privacy ($\epsilon$-privacy), quantifying how close the state is to being private.

10 pages, 1 figures

References in corpus (4)

• Using entanglement against noise in quantum metrology
• Distributed quantum phase estimation with entangled photons
• Towards satellite-based quantum-secure time transfer
• Optimal estimation of entanglement

Cited by in corpus (6)

• Review: Quantum Metrology and Sensing with Many-Body Systems
• Anonymous and private parameter estimation in networks of quantum sensors
• Quantum-private distributed sensing
• Quantum Advantage in Distributed Sensing with Noisy Quantum Networks
• Sensitivity Bounds of Multiparameter Metrology at Thermal Equilibrium
• Universal Operational Privacy in Distributed Quantum Sensing