Interference Visibility as a Witness of Entanglement and Quantum Correlation

TL;DR

This paper explores how interference visibility can serve as a witness for entanglement and quantum correlations, establishing quantitative links and potential methods for direct detection in quantum systems.

Contribution

It introduces a quantitative relationship between interference visibility, entanglement, and quantum correlations, providing new ways to detect and distinguish these quantum features.

Findings

Visibility difference relates to quantum correlation measures.

Unitary average of visibility links to entanglement measures.

Complementarity relation between entanglement and measurement disturbance.

Abstract

In quantum information and communication one looks for the non-classical features like interference and quantum correlations to harness the true power of composite systems. We show how the concept akin to interference is, in fact, intertwined in a quantitative manner to entanglement and quantum correlation. In particular, we prove that the difference in the squared visibility for a density operator before and after a complete measurement, averaged over all unitary evolutions, is directly related to the quantum correlation measure based on the measurement disturbance. For pure and mixed bipartite states the unitary average of the squared visibility is related to entanglement measure. This may constitute direct detection of entanglement and quantum correlations with quantum interference setups. Furthermore, we prove that for a fixed purity of the subsystem state, there is a complementarity relation between the linear entanglement of formation and the measurement disturbance. This brings out a quantitative difference between two kinds of quantum correlations.