We present an exhaustive online survey of a distributed parameter identification technique called two-shot (TS) method. TS method is a popular optimization technique in circuit simulation, and its physical version is often used in single-shot waveform optimization (SWOP). We show that TS method can be implemented in an easy-to-use online parameter estimation framework, Shamal , for practically any continuous structure. We provide a step-by-step implementation of Shamal using MATLAB. We show via a practical experiment that Shamal obtains accurate identification of even the most difficult circuit parameters. We hope Shamal can help other researchers who seek to implement practically useful simulations easily, without being a subject matter expert in circuit simulation or circuit identification like circuit optimization.
We demonstrate how to approximate the density operator of a quantum system using the maximum likehood (ML) principle from a set of measurements. The formalism is easily extended to the case of multiple measurements. A ML estimate is discovered with associated statistical requirements. We perform the proof-of-principle measurement procedure, using qubits in superconducting transmission lines simulating the first experiment with two cavity-QED qubits in Hong Kong. The experimental results show that even though the theory is asymptotic, clearly the proposed method provides a valid intermediate approximation to the density operator over a range of parameter lenths, i.e., about 0.04 d2c66b5586