On correlations and mutual entropy in quantum composed systems

Abstract

We study the correlations of classical and quantum systems from the information theoretical points of view. We analyze a simple measure of correlations based on entropy (such measure was already investigated as the degree of entanglement by Belavkin, Matsuoka and Ohya). Contrary to naive expectation, it is shown that separable state might possesses stronger correlation than an entangled state.

References in corpus (6)

• Unified View of Quantum and Classical Correlations
• On the quantum, classical and total amount of correlations in a quantum state
• The state space for two qutrits has a phase space structure in its core
• On circulant states with positive partial transpose
• Generalized Circulant Densities and a Sufficient Condition for Separability
• Entanglement witnesses for $d\otimes d$ systems and new classes of entangled qudit states

Cited by in corpus (1)

• Quantum-correlation breaking channels, quantum conditional probability and Perron-Frobenius theory