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.

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

References in corpus (11)

• Scalable multi-particle entanglement of trapped ions
• 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
• Generalized spin squeezing inequalities in $N$ qubit systems: theory and experiment
• Characterizing multiparticle entanglement in symmetric N-qubit states via negativity of covariance matrices
• Generalized entropic criterion for separability
• Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
• Constraints on the uncertainties of entangled symmetric qubits
• 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