Finite Nonsignalling Resources Suffice to Simulate Entangled Qubits

2026-10-26 · arXiv Quantum Physics

arXiv:2610.32319v1 Announce Type: new

Abstract: A longstanding question in Bell nonlocality is whether finite-alphabet nonsignalling resources can reproduce the continuum of measurement correlations of partially entangled qubits. Here we resolve this problem by showing that every fixed pure two-qubit state admits an exact simulation of all local projective-measurement statistics using shared randomness and finitely many Popescu-Rohrlich (PR) boxes, without communication or postselection. The boxes operate in parallel, with a worst-case bound independent of the measurement settings: at most $128\cot^4\theta$ calls for the Schmidt state $\cos\theta|00\rangle+\sin\theta|11\rangle$, $0

原文链接:https://arxiv.org/abs/2610.32319

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