Entanglement and other quantum correlations of a single qudit state as a resource for quantum technologies

TL;DR

This paper extends the concept of quantum entanglement to single qudit states, introducing new inequalities and exploring their potential as resources for quantum computing and communication.

Contribution

It presents a novel framework for characterizing quantum correlations in single qudit states and discusses their application in quantum technologies.

Findings

Derived new entropic inequalities for single qudit states

Analyzed entanglement properties of qutrits and qudits with j=3/2

Proposed using single-qudit correlations as resources in quantum tech

Abstract

The approach to extend the notion of entanglement for characterizing the properties of quantum correlations in the state of a single qudit is presented. New information and entropic inequalities, such as the subadditivity condition, strong subadditivity condition, and monotonicity of relative entropy for a single qudit corresponding to an arbitrary spin state with spin j are discussed. The idea to employ quantum correlations in the single-qudit state, such as the entanglement, for developing a new quantum technique in quantum computing and quantum communication is proposed. Examples of qutrit and qudit with j = 3/2 are considered.