Generalized Measurements of Qutrit States via Quantum Walks
Generalized measurement of qutrit states facilitates the accomplishment of complex tasks in quantum information processing.In this study,we propose a 3D quantum state measurement method by encoding qutrit states into a two-qubit system representing the walker's position and a two-dimensional coin.This is easily realized in experiments.With appropriate coin operations that vary with the walker's position and evolution time during the quantum walk,it is possible to completely distinguish non-orthogonal qutrit states based on the probability distribution of the walker's final position.This achieves a symmetric informationally complete positive operator valued measure for qutrit states.The feasibility of the proposed method was proved via simulations conducted on an IBM quantum computer,producing results that were close to the theoretically calculated probability distribution.Thus,this study establishes a foundation for the measurement of high-dimensional quantum states.
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