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QI: Fachverband Quanteninformation

QI 32: Quantum Sensing and Metrology

QI 32.4: Talk

Friday, March 22, 2024, 10:30–10:45, HFT-FT 131

Achieving heisenberg scaling via interacting many body dynamics — •Ricard Puig i Valls1, Paolo Andrea Erdman2, Pavel Sekatski3, Paolo Abiuso4, John Calsamiglia5, and Martí Perarnau-Llobet31EPFL, Lausanne, Switzerland — 2FU, Berlin, Germany — 3UNIGE, Geneva, Switzerland — 4IQOQI, Vienna, Austria — 5GIQ, Barcelona, Spain

Theoretical models describing quantum metrology schemes and the corresponding experimental demonstrations have so far mainly described protocols that involve the preparation of the sensor into a carefully engineered quantum state; interaction of the sensor with an external (unknown) field and measurement of the sensor to retrieve information. However, the process of preparation can sometimes be lengthy, require fine tuning and be sensible to noise. The main goal of this project is to use many-body interactions to entangle the state while the field encodes information into it. Thus, we eliminate the preparation process and we add some dynamics that might counter the noise effect.

In this setting, we consider the estimation of a magnetic field by N spins whose interactions can be externally controlled. We derive an analytic expression for the Quantum Fisher Information and we show an idealized protocol that achieves Heisenberg Scaling via a N-body interaction. We achieve a quantum advantage by using 2-body interactions (numerically we can approach HS) and show that measuring the spin of the probe state suffices to saturate the QFI. Finally, preliminary results show that the noise resilience might be higher.

Keywords: Heisenberg Scaling; Dynamics; Magnetometry; Interactions; Noise

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