Quantum states defined by using the finite frame quantization

TL;DR

This paper explores finite frame quantization in finite-dimensional quantum systems, analyzing the properties of density operators derived from this discrete phase space method.

Contribution

It introduces a detailed study of density operators constructed via finite frame quantization, highlighting their properties in finite-dimensional quantum systems.

Findings

Density operators can be systematically constructed using finite frame quantization.

The properties of these operators depend on the choice of frames and functions.

This approach provides a discrete analogue to coherent state quantization.

Abstract

Finite frame quantization is a discrete version of the coherent state quantization. In the case of a quantum system with finite-dimensional Hilbert space, the finite frame quantization allows us to associate a linear operator to each function defined on the discrete phase space of the system. We investigate the properties of the density operators which can be defined by using this method.