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quant-phDec 20, 2006
1
citations (OpenAlex)
authors
  • Fabio A. Bovino
institutions
  • Leonardo (Italy)
arXiv abstractPDF
paper

Nonlinear Inequalities and Entropy-Concurrence Plane

arXiv:quant-ph/0612177 · doi:10.1007/s10773-007-9574-0

Abstract

Nonlinear inequalities based on the quadratic Renyi entropy for mixed two-qubit states are characterized on the Entropy-Concurrence plane. This class of inequalities is stronger than Clauser-Horne-Shimony-Holt (CHSH) inequalities and, in particular, are violated "in toto" by the set of Type I Maximally-Entangled-Mixture States (MEMS I).

References in corpus (14)

  • Entanglement of Formation of an Arbitrary State of Two Qubits
  • Separability Criterion for Density Matrices
  • Separability of Mixed States: Necessary and Sufficient Conditions
  • Bell Inequalities and the Separability Criterion
  • Information-theoretic aspects of quantum inseparability of mixed states
  • Negative entropy and information in quantum mechanics
  • Maximizing the entanglement of two mixed qubits
  • Direct measurement of non-linear properties of bipartite quantum states
  • Quantum conditional operator and a criterion for separability
  • Nonadditive conditional entropy and its significance for local realism
  • Quantum entanglement inferred by the principle of maximum Tsallis entropy
  • Entanglement and nonextensive statistics
  • CHSH violation and entropy - concurrence plane
  • Bell inequalities versus entanglement and mixedness for a class of two - qubit states
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