Separability of a family of one parameter W and GHZ multiqubit states using Abe-Rajagopal q-conditional entropy approach

Abstract

We employ conditional Tsallis q entropies to study the separability of symmetric one parameter W and GHZ multiqubit mixed states. The strongest limitation on separability is realized in the limit q-->infinity, and is found to be much superior to the condition obtained using the von Neumann conditional entropy (q=1 case). Except for the example of two qubit and three qubit symmetric states of GHZ family, the $q$-conditional entropy method leads to sufficient - but not necessary - conditions on separability.

arXiv comment7 pages, 5 ps figures, RevteX, Accepted for publication in Physical Review A

References in corpus (24)

• Separability Criterion for Density Matrices
• Scalable multi-particle entanglement of trapped ions
• Many-particle entanglement with Bose--Einstein condensates
• Information-theoretic aspects of quantum inseparability of mixed states
• Negative entropy and information in quantum mechanics
• Separable states are more disordered globally than locally
• Characterizing the entanglement of symmetric many-particle spin-1/2 systems
• Entropic uncertainty relations and entanglement
• Spin squeezing inequalities and entanglement of $N$ qubit states
• Nonadditive conditional entropy and its significance for local realism
• Separability conditions from entropic uncertainty relations
• Generalized spin squeezing inequalities in $N$ qubit systems: theory and experiment
• Quantum entanglement inferred by the principle of maximum Tsallis entropy
• Conditional entropies and their relation to entanglement criteria
• Characterizing multiparticle entanglement in symmetric N-qubit states via negativity of covariance matrices
• Separability and correlations in composite states based on entropy methods
• Generalized entropic criterion for separability
• Conditional q-Entropies and Quantum Separability: A Numerical Exploration
• Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
• Nonadditive measure and quantum entanglement in a class of mixed states of N^n-system
• Constraints on the uncertainties of entangled symmetric qubits
• Some Features of the Conditional $q$-Entropies of Composite Quantum Systems
• Local Invariants and Pairwise Entanglement in Symmetric Multi-qubit System
• Collective multipole-like signatures of entanglement in symmetric N-qubit systems

Cited by in corpus (5)

• From the sandwiched quantum relative Tsallis entropy to its conditional form: Separability criterion beyond local and global spectra
• Conditions for separability in multiqubit systems with an accelerating qubit using a conditional entropy
• Bipartite separability of one parameter families of states using conditional quantum relative Tsallis entropy
• Entropic characterization of Separability in Gaussian states
• Biseparability of noisy pseudopure, W and GHZ states using conditional quantum relative Tsallis entropy