Dual quantum-correlation paradigms exhibit opposite statistical-mechanical properties

TL;DR

This paper compares two major paradigms of quantum correlation measures, revealing that entanglement measures are ergodic while information-theoretic quantum correlations can be nonergodic in quantum spin systems.

Contribution

It demonstrates the opposite statistical-mechanical behaviors of entanglement and information-theoretic quantum correlation measures in quantum spin models.

Findings

Entanglement measures are ergodic in quantum XY spin systems.

Information-theoretic quantum correlation measures can be nonergodic.

The study highlights fundamental differences in the statistical properties of quantum correlation paradigms.

Abstract

We report opposite statistical mechanical behaviors of the two major paradigms in which quantum correlation measures are defined, viz., the entanglement-separability paradigm and the information-theoretic one. We show this by considering the ergodic properties of such quantum correlation measures in transverse quantum XY spin-1/2 systems in low dimensions. While entanglement measures are ergodic in such models, the quantum correlation measures defined from an information-theoretic perspective can be nonergodic.