TITLE:
One Parameter Family of N-Qudit Werner-Popescu States: Bipartite Separability Using Conditional Quantum Relative Tsallis Entropy
AUTHORS:
Anantha S. Nayak, Sudha, A. R. Usha Devi, A. K. Rajagopal
KEYWORDS:
Entropic Separability Criterion, q-Conditional Entropies, Non-Commuting Version of Relative Entropy
JOURNAL NAME:
Journal of Quantum Information Science,
Vol.8 No.1,
March
23,
2018
ABSTRACT: The
conditional version of sandwiched Tsallis relative entropy (CSTRE) is employed
to study the bipartite separability of one parameter family of N-qudit Werner-Popescu states in their 1:N-1 partition.
For all N, the strongest limitation
on bipartite separability is realized in the limit and is found
to match exactly with the separability range obtained using an algebraic method
which is both necessary and sufficient. The theoretical superiority of using
CSTRE criterion to find the bipartite separability range over the one using
Abe-Rajagopal (AR) q-conditional
entropy is illustrated by comparing the convergence of the parameter x with respect to q, in the implicit plots of AR q-conditional
entropy and CSTRE.