论文标题

Qudit非稳定态引起的贝尔非局部性的确定性全面证明

Deterministic All-versus-nothing Proofs of Bell Nonlocality Induced from Qudit Non-stabilizer States

论文作者

Du, Wenjing, Zhou, Di, Han, Kanyuan, Sun, Hui, Cao, Huaixin, Tang, Weidong

论文摘要

最近,提出了一种从Qubit非稳定状态引起的贝尔非局部性的确定性的全面证明,这打破了确定性的全面证明始终来自稳定器状态的传统。对Qudit(D IS偶数)版本的琐碎概括是通过使用特殊的基础图,但是这种证明仍然可以简化为Qubit版本。到目前为止,高维非稳定状态是否可以诱导非贝尔非局部性的非平凡确定性全面的证据。在这里,我们提出了一个从特定的四Qudit非稳定状态(d = 4)引起的示例,表明也可以在高维场景中构建此类证明。

Recently, a kind of deterministic all-versus-nothing proof of Bell nonlocality induced from the qubit non-stabilizer state was proposed, breaking the tradition that deterministic all-versus-nothing proofs are always derived from stabilizer states. A trivial generalization to the qudit (d is even) version is by using a special basis map, but such a proof can still be reduced to the qubit version. So far, whether high dimensional non-stabilizer states can induce nontrivial deterministic all-versus-nothing proofs of Bell nonlocality remains unknown. Here we present an example induced from a specific four-qudit non-stabilizer state (with d = 4), showing that such proofs can be constructed in high dimensional scenarios as well.

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