Privacy in networks of quantum sensors
arXiv:2408.01711 · doi:10.1103/PhysRevLett.134.030802
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 (-privacy), quantifying how close the state is to being private.
10 pages, 1 figures
References in corpus (20)
- The elusive Heisenberg limit in quantum enhanced metrology
- A quantum network of clocks
- Quantum limits in optical interferometry
- Quantum Enhanced Multiple Phase Estimation
- Using entanglement against noise in quantum metrology
- Distributed quantum sensing in a continuous variable entangled network
- Multi-parameter estimation in networked quantum sensors
- Compatibility in Multiparameter Quantum Metrology
- Multi-parameter estimation beyond Quantum Fisher Information
- Optimal and Secure Measurement Protocols for Quantum Sensor Networks
- Distributed quantum phase estimation with entangled photons
- Discontinuities of the quantum Fisher information and the Bures metric
- Gaussian systems for quantum enhanced multiple phase estimation
- Local versus Global Strategies in Multi-parameter Estimation
- Towards satellite-based quantum-secure time transfer
- Optimal estimation of entanglement
- On the discontinuity of the quantum Fisher information for quantum statistical models with parameter dependent rank
- Cryptographic quantum metrology
- Quantum remote sensing with asymmetric information gain
- Multi-parameter quantum metrology with discrete-time quantum walks
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