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Quantum Entropy Information Measures Entanglement Theory Quantum Correlations Quantum Simulation Open Quantum Systems Decoherence

One Parameter family of N-qudit Werner-Popescu states: Bipartite separability using conditional quantum relative Tsallis entropy

arXiv

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

Year

2017

Paper ID

24743

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

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 q tending to infinity 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.

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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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1712.00746 [2] arXiv https://arxiv.org/abs/1712.00746 [3] Publisher https://arxiv.org/abs/1712.00746

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