Reconstructing quantum states via unambiguous state discrimination
Naser Karimi, Hadi Z. Olyaei, Marziyeh Yahyavi, M. A. Jafarizadeh · Progress of Theoretical and Experimental Physics · 2022
Abstract In this paper, we introduce an analytical framework for the reconstruction of quantum states. The reconstruction of an unknown quantum state requires the information of a complete set of observables, obtained through experimental measurements of Hermitian operators usually defined as positive-operator-valued measures (POVMs). The scheme involves a single-qubit unambiguous state discrimination POVM, which can be generalized to perform n-qubit measurements. We also use maximum likelihood estimation as a method in the reconstruction of the density matrix from experimental data and show that the expected value of the cleaner is independent of the parameter of the density operator.