Biseparability of noisy pseudopure, W and GHZ states using conditional quantum relative Tsallis entropy

TL;DR

This paper uses a quantum entropy measure to identify the separability range of noisy pseudopure, W, and GHZ states, aligning with known criteria for quantum state separability.

Contribution

It introduces a method employing conditional sandwiched Tsallis relative entropy to determine separability in noisy quantum states, providing a precise range consistent with established criteria.

Findings

Accurately determines separability range for noisy states

Aligns with necessary and sufficient separability criteria

Validates the effectiveness of the entropy measure

Abstract

We employ the conditional version of sandwiched Tsallis relative entropy to determine 1:N-1 separability range in the noisy one-parameter families of pseudopure and Werner-like N-qubit W, GHZ states. The range of the noisy parameter, for which the conditional sandwiched Tsallis relative entropy is positive, reveals perfect agreement with the necessary and sufficient criteria for the separability in the 1:N-1 partition of these one parameter noisy states.