Bipartite separability of symmetric N-qubit noisy states using conditional quantum relative Tsallis entropy

Anantha S. Nayak, Sudha,, A.K. Rajagopal and A.R. Usha Devi

Physica A: Statistical Mechanics and its Applications, 2016, vol. 443, issue C, 286-295

Abstract: In any bipartition of a quantum state, it is proved that the negative values of the conditional version of sandwiched Tsallis relative entropy necessarily imply quantum entanglement. For any N, the separability ranges in the 1:N−1 partition of symmetric one parameter families of noisy N-qubit W- , GHZ-, WW̄ states are determined using the conditional quantum relative Tsallis entropy approach. The 1:N−1 separability range matches exactly with the range obtained through positive partial transpose criterion, for all N. The advantages of using non-commuting version of q-conditional relative Tsallis entropy are brought out through this and other one-parameter families of states.

Keywords: Bipartite separability criterion; Entropic approach for separability; q-conditional entropies; One-parameter family of states; Symmetric noisy W-, GHZ states; Non-commuting version of relative Tsallis entropy (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:443:y:2016:i:c:p:286-295

DOI: 10.1016/j.physa.2015.09.086

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