Visnyk of the Lviv University. Series Physics 60 (2023) ñ. 18-25
DOI: https://doi.org/10.30970/vph.60.2023.18

Probability of quantum state determination among N possible ones

A. V. Kryzhova, Kh. P. Gnatenko

(íå ìåíøå 1800 çíàê³â) We find a probability of determining an unknown quantum state if some information about it is known. Namely, we know that the state is one of N quantum states. These states are represented as eigenstates of operator of projection of a spin on N directions, corresponding to positive eigenvalues. The probability of determining the unknown state with the smallest number of measurements and for some number of measurements n is obtained. Dependence of these probabilities on the angles between the vectors defining the N directions is studied.

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