Quantifying Quantum Resource Sharing

TL;DR

This paper introduces a tight inequality for quantifying entanglement sharing among N qubits, providing a direct method to calculate and visualize the distribution of entanglement in quantum systems.

Contribution

It presents the first explicit inequality applicable to any N-qubit pure state for measuring entanglement sharing, with a geometric visualization approach.

Findings

Provides a tight, universal entanglement sharing inequality for N-qubit states

Enables direct calculation of entanglement sharing among multiple qubits

Offers a geometric visualization of entanglement distribution within hypercubes

Abstract

Entanglement is a key resource of quantum science for tasks that require it to be shared among participants. Within atomic, condensed matter and photonic many-body systems the distribution and sharing of entanglement is of particular importance for information processing by progressively larger and larger quantum networks. Here we report a singly-bipartitioned qubit entanglement inequality that applies to any N-party qubit pure state and is completely tight. It provides the first prescription for a direct calculation of the amount of entanglement sharing that is possible among N qubit parties. A geometric representation of the measure is easily visualized via polytopes within entanglement hypercubes.