Ralph Jason

In this talk, we consider the use of classical signal processing techniques to extract information from the continuous weak measurement record of a quantum system. We demonstrate that classical signal processing techniques provide accurate estimates of the oscillation frequency of a single qubit Hamiltonian (for static and time-dependent frequencies) with a large saving in the computational costs. We also show that the quantum state and quantum correlations of two-qubit entangled system can be estimated accurately even when the bit-depth of the classical measurement record is reduced to a single bit per sample point.