Qsampling

There are two different formats for the sample files, namely, .mat and .txt. The .mat files are workspace files that can be directly loaded into MATLAB. The .txt files store the real and imaginary parts (as two separate files) of the generated quantum states. Each row in the .txt files corresponds to one state, which can be easily formatted to a d by d matrix row after row. Different sets of POVMs define the same probability space if they are linearly related, so that the Jacobian for the transformation between the corresponding probabilities is a numerical value. Therefore, if the target distribution is the primitive prior (i.e., uniform over the physical probability space), it does not matter which POVM we choose for the sampling. The two-qubit quantum states generated with NIC POVMs carry different weights (corresponding files with suffix “_range”), because of the NIC nature of the POVMs used. For more details, please see Ref. [3]. In addition, we also provide the files of random samples with weights already integrated into the distribution by re-sampling the samples with respect to their weights. These files carry the suffix “_w”.