A New Quantum Correlation Measure Induced by Projection Measurement

Abstract

Quantum correlation is a concept in quantum mechanics that describes the correlation between multiple quantum systems or subsystems. It reflects the interdependence between different parts of a quantum state. As an important physical quantity, entropy plays a significant role in the study of quantum correlation, motivated by this idea, we introduce a correlation measure based on the logical entropy, and prove it satisfies the necessary conditions of the given correlation measure, including nonnegativity, invariance under local unitary transformations, adding the auxiliary subsystem correlation measure remains the same. In the end, we obtained the bound of the given correlation measure.