Fluctuations of Quantum Entanglement

Abstract

It is emphasized that quantum entanglement determined in terms of the von Neumann entropy operator is a stochastic quantity and, therefore, can fluctuate. The rms fluctuations of the entanglement entropy of two-qubit systems in both pure and mixed states have been obtained. It has been found that entanglement fluctuations in the maximally entangled states are absent. Regions where the entanglement fluctuations are larger than the entanglement itself (strong fluctuation regions) have been revealed. It has been found that the magnitude of the relative entanglement fluctuations is divergent at the points of the transition of systems from an entangled state to a separable state. It has been shown that entanglement fluctuations vanish in the separable states.

5 pages, 4 figures

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Cited by in corpus (7)

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• Nonclassical properties and quantum resources of hierarchical photonic superposition states
• Quantum fluctuation of entanglement for accelerated two-level detectors
• Evolution of capacity of entanglement and modular entropy in harmonic chains and scalar fields
• Entanglement-fluctuation relation for bipartite pure states
• Fluctuations and non-Gaussianity in de Sitter spacetime from holographic entanglement entropy
• The area and volume laws for entanglement of scalar fields in flat and cosmological spacetimes