Properties of Quantizer and Dequantizer Operators for Qudit States and Parametric Down-Conversion

We review the method of quantizers and dequantizers to construct an invertible map of the density operators onto functions including probability distributions and discuss in detail examples of qubit and qutrit states. The biphoton states existing in the process of parametric down-conversion are studied in the probability representation of quantum mechanics.

Automated summary

The article explores the construction of an invertible map from density operators to functions through quantizers and dequantizers, focusing on examples of qubit and qutrit states. It also delves into the study of biphoton states in the probability representation of quantum mechanics during parametric down-conversion.