Classical Statistics Inherent in a Quantum Density Matrix

Abstract

A density matrix formulation of classical bipartite correlations is constructed. This leads to an understanding of the appearance of classical statistical correlations intertwined with the quantum correlations as well as a physical underpinning of these correlations. As a byproduct of this analysis, a physical basis of the classical statistical correlations leading to additive entropy in a bipartite system discussed recently by Tsallis et al emerges as inherent classical spin fluctuations. It is found that in this example, the quantum correlations shrink the region of additivity in phase space.

10 pages, 3 figures

References in corpus (8)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Entanglement of a Pair of Quantum Bits
• Entangled Rings
• Quantum Discord and Maxwell's Demons
• Classical Correlations and Entanglement in Quantum Measurements
• Locking classical correlation in quantum states
• Separability and correlations in composite states based on entropy methods
• Statistical mechanical foundations of power-law distributions

Cited by in corpus (9)

• Tsallis entropy and entanglement constraints in multi-qubit systems
• General Monogamy of Tsallis $q$-Entropy Entanglement in Multiqubit Systems
• Temperature of nonextensive system: Tsallis entropy as Clausius entropy
• A new parameterized entanglement monotone
• Generalized Entropy and Global Quantum Discord in Multi-party Quantum systems
• Estimating Parameterized Entanglement Measure
• Tsallis entropy, $q$-expectation and constraints on three-party quantum correlations
• Polygamy of multi-party $q$-expected quantum entanglement
• Unified monogamy relation of entanglement measures