Supplemental Material for “ Towards the Fundamental Quantum Limit of Linear Measurements of Classical Signals ”

@inproceedings{Miao2017SupplementalMF,
  title={Supplemental Material for “ Towards the Fundamental Quantum Limit of Linear Measurements of Classical Signals ”},
  author={Haixing Miao and Rana X. Adhikari and Yiqiu Ma and Belinda Heyun Pang and Yanbei Chen},
  year={2017}
}
The unitary operator for the free-evolution part is defined as Û0(−∞, t) ≡ T exp{−(i/~) ∫ t −∞ dt Ĥdet(t)} with T being the time-ordering, and, for the interaction part, we have defined ÛI(−∞, t) ≡ T exp{−(i/~) ∫ t −∞ dt ′Ĥ int (t ′)}. For the measurement to be linear, Ĥdet only involves linear or quadratic functions of canonical coordinates, among which… CONTINUE READING