Binegativity of two qubits under noise

TL;DR

This paper investigates the binegativity as an entanglement measure for two-qubit states, demonstrating its monotonic decrease under noise and its close relation to negativity, supporting its validity as a good entanglement quantifier.

Contribution

It provides analytical expressions for binegativity, examines its behavior under noise, and supports its status as a monotone, advancing understanding of entanglement measures.

Findings

Binegativity decreases monotonically with noise.

It has a closed analytical form for all two-qubit states.

Supports the conjecture that binegativity is a PPT monotone.

Abstract

Recently, it was argued that the binegativity might be a good quantifier of entanglement for two-qubit states. Like the concurrence and the negativity, the binegativity is also analytically computable quantifier for all two qubits. Based on numerical evidence, it was conjectured that it is a PPT (positive partial transposition) monotone and thus fulfills the criterion to be a good measure of entanglement. In this work, we investigate its behavior under noisy channels which indicate that the binegativity is decreasing monotonically with respect to increasing noise. We also find that the binegativity is closely connected to the negativity and has closed analytical form for arbitrary two qubits. Our study supports the conjecture that the binegativity is a monotone.