BEGIN:VCALENDAR VERSION:2.0 PRODID:-//linuxsoftware.nz//NONSGML Joyous v1.4//EN BEGIN:VEVENT SUMMARY:_Towards Quantum Sensor Networks DTSTART:20251202T130000Z DTEND:20251202T150000Z DTSTAMP:20260506T023611Z UID:9b5978db-7b61-41ba-8831-7234d92724a0 SEQUENCE:2 CREATED:20251128T151410Z DESCRIPTION:Quantum sensor networks sets a framework for distributed sensi ng\, aimed at retrieving information from spatially separated probes using quantum resources\, enhancing precision beyond classical limits. This the sis develops tools for this framework and addresses fundamental questions arising from the distributed nature of these protocols. The first question concerns the information accessible in distributed scenarios. Focusing on functions locally accessible by each party\, we introduce a privacy measu re ensuring that only the target function’s information is revealed. We identify entangled states that guarantee privacy under specific encoding d ynamics\, and find robust private states resilient to qubit loss. We furth er extend these results to Hamiltonian dynamics\, uncovering a mathematica l structure linking private functions to private states and the nature of entanglement to the estimation of linear functions of local parameters. We proceed to employ concepts in geometry to analyze spatial quantum sensing \, where sensor arrays probe an underlying field modeled by analytic funct ions. We transform a series of general problems into a description leverag ing the linearity of the information in the distributed setting. We provid e conditions for error-free sensor placements and extend previous approach es to general least-squares estimations\, illustrating advantages of entan gled strategies over local ones. Next\, we integrate this into quantum net works\, recognizing practical constraints\, such as limited quantum resour ces\, network topology\, and sensor placement. We develop a general optimi zation framework for designing sensing protocols that minimize estimator v ariance. These methods translate sensing strategy design into linear\, con vex and nonconvex optimization problems\, adapting to various network cons traints and highlighting the impact of sensor positioning. Finally\, we ap ply this to entangled atom gravimeters networks\, establishing a proposal for the deployment of distributed gravitational field sensing\, demonstrat ing potential for high-precision Earth interior modeling and offering a ro admap for the optimal construction and operation of quantum sensor network s\, under minimal prior information. LAST-MODIFIED:20251128T151419Z LOCATION:Online URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/_towards-quantum-sensor-ne tworks/ X-ALT-DESC;FMTTYPE=text/html:

Quantum sensor netw orks sets a framework for distributed sensing\, aimed at retrieving inform ation from spatially separated probes using quantum resources\, enhancing precision beyond classical limits. This thesis develops tools for this fra mework and addresses fundamental questions arising from the distributed na ture of these protocols. The first question concerns the information acces sible in distributed scenarios. Focusing on functions locally accessible b y each party\, we introduce a privacy measure ensuring that only the targe t function’s information is revealed. We identify entangled states that guarantee privacy under specific encoding dynamics\, and find robust priva te states resilient to qubit loss.

We further extend these resul ts to Hamiltonian dynamics\, uncovering a mathematical structure linking p rivate functions to private states and the nature of entanglement to the e stimation of linear functions of local parameters. We proceed to employ co ncepts in geometry to analyze spatial quantum sensing\, where sensor array s probe an underlying field modeled by analytic functions. We transform a series of general problems into a description leveraging the linearity of the information in the distributed setting.

We provide condition s for error-free sensor placements and extend previous approaches to gener al least-squares estimations\, illustrating advantages of entangled strate gies over local ones. Next\, we integrate this into quantum networks\, rec ognizing practical constraints\, such as limited quantum resources\, netwo rk topology\, and sensor placement. We develop a general optimization fram ework for designing sensing protocols that minimize estimator variance.

These methods translate sensing strategy design into linear\, conv ex and nonconvex optimization problems\, adapting to various network const raints and highlighting the impact of sensor positioning. Finally\, we app ly this to entangled atom gravimeters networks\, establishing a proposal f or the deployment of distributed gravitational field sensing\, demonstrati ng potential for high-precision Earth interior modeling and offering a roa dmap for the optimal construction and operation of quantum sensor networks \, under minimal prior information.

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