Quantum-Limited Estimation of Range and Velocity

@article{Huang2021QuantumLimitedEO,
  title={Quantum-Limited Estimation of Range and Velocity},
  author={Zixin Huang and Cosmo Lupo and Pieter Kok},
  journal={PRX Quantum},
  year={2021}
}
The energy-time uncertainty relation puts a fundamental limit on the precision of radars and lidars for the estimation of range and velocity. The precision in the estimation of the range (through the time of arrival) and the velocity (through Doppler frequency shifts) of a target are inversely related to each other, and dictated by the bandwidth of the signal. Here we use the theoretical toolbox of multi-parameter quantum metrology to determine the ultimate precision of the simultaneous… 

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