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arXiv · 2212.09264

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

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

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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Wenjing Du, Di Zhou, Kanyuan Han, Hui Sun, Huaixin Cao, Weidong Tang. 2022-12-19. Deterministic All-versus-nothing Proofs of Bell Nonlocality Induced from Qudit Non-stabilizer States. https://arxiv.org/abs/2212.09264

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