Simulation of partial entanglement with nonsignaling resources

TL;DR

This paper demonstrates that all pure two-qubit entangled states can be simulated using only non-signaling resources without communication, revealing insights into quantum non-locality and resource requirements.

Contribution

It introduces a two-step simulation model decomposing quantum correlations into local and nonlocal parts, using only non-signaling resources for the nonlocal component.

Findings

All pure two-qubit entangled states can be simulated without communication.

Partially entangled states require more nonlocal resources than maximally entangled states.

Less entanglement correlates with less frequent use of nonlocal resources.

Abstract

With the goal of gaining a deeper understanding of quantum non-locality, we decompose quantum correlations into more elementary non-local correlations. We show that the correlations of all pure entangled states of two qubits can be simulated without communication, hence using only non-signaling resources. Our simulation model works in two steps. First, we decompose the quantum correlations into a local and a non-local part. Second, we present a model for simulating the nonlocal part using only non-signaling resources. In our model partially entangled states require more nonlocal resources than maximally entangled states, but the less the state is entangled, the less frequently must the nonlocal resources be used.