We address the characterization of a photon-number-resolving detector based on continuous time multiplexing. We develop and verify a mathematical model of this detector and explore various approaches to its quantum tomography. Additionally, we encounter a memory effect and discuss the feasibility of describing this type of detector using a transfer matrix or positive operator-valued measure (POVM) decomposition.
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Avosopiants et al. (2024) studied this question.
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