In quantum state tomography, what is the minimum number of linearly independent measurement settings required to fully characterize a quantum state of dimension $d$?
Question 2
Which of the following best describes the 'informationally complete' set of measurements in quantum tomography?
Question 3
When applying Maximum Likelihood Estimation (MLE) for quantum state reconstruction, what is the primary advantage of using a positive operator-valued measure (POVM) over a set of projective measurements?
Question 4
Consider a quantum process described by a quantum channel $\mathcal{E}$. In Quantum Process Tomography (QPT), the goal is to characterize this channel. If the input state is given by a density matrix $\rho_{in}$, what is the output state $\rho_{out}$ after the channel acts on it?
Question 5
What is the primary reason for the 'curse of dimensionality' in quantum tomography when dealing with multi-qubit systems?
