Time-reversal assisted quantum metrology with an optimal control

• URL: http://arxiv.org/abs/2312.14443v1
• Date: Fri, 22 Dec 2023 05:14:18 GMT
• Title: Time-reversal assisted quantum metrology with an optimal control
• Authors: Da-Wei Luo, Ting Yu
• Abstract summary: We propose a protocol to overcome the shot noise limit and reach the Heisenberg scaling limit for parameter estimation. We show that the uncertainty arising from a photon number measurement of the system can saturate the assisted Cream'er-Rao bound.
• Score: 3.250902508512017
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a protocol to overcome the shot noise limit and reach the Heisenberg scaling limit for parameter estimation by using quantum optimal control and a time-reversal strategy. Exemplified through the phase estimation, which can play an important role in quantum navigation and measurement, we show that the uncertainty arising from a photon number measurement of the system can saturate the assisted Cream\'er-Rao bound, independent of the phase being estimated. In a realistic case with photon loss, we show that the optimal estimation may still be attainable by optimal control and a projective measurement on an ancilla two-level system coupled to photonic modes.

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