Nonclassical features in higher-dimensional systems through logical qudits

TL;DR

This paper extends the understanding of nonclassical correlations from multiqubit systems to higher-dimensional systems using logical qudits and continuous-variable systems, revealing interconnected nonclassical features across different physical systems.

Contribution

It generalizes previous work by exploring nonclassical correlations in higher-dimensional systems through logical qudits and continuous variables, establishing reciprocity between coherence, nonlocality, and entanglement.

Findings

Logical qudits and CV systems exhibit reciprocal conditions for coherence and nonlocality.

A single nonclassicality condition detects multiple nonclassical features across different systems.

Interrelations of nonclassical features are demonstrated in higher-dimensional Hilbert spaces.

Abstract

In a recent work [S. Asthana. New Journal of Physics 24.5 (2022): 053026], we have shown the interrelation of different nonclassical correlations in multiqubit systems with quantum coherence in a single logical qubit. In this work, we generalize it to higher-dimensional systems. For this, we take different choices of logical qudits and logical continuous-variable (cv) systems in terms of their constituent physical qudits and physical cv systems. Thereafter, we show reciprocity between conditions for coherence (in logical qudits and logical cv systems) and conditions for nonlocality and entanglement (in their underlying constituent qudits and cv systems). This shows that a single nonclassicality condition detects different types of nonclassicalities in different physical systems. Thereby, it reflects the interrelations of different nonclassical features of states belonging to Hilbert spaces of nonidentical dimensions.