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

• URL: http://arxiv.org/abs/2212.09264v1
• Date: Mon, 19 Dec 2022 06:24:27 GMT
• Title: Deterministic All-versus-nothing Proofs of Bell Nonlocality Induced from Qudit Non-stabilizer States
• Authors: Wenjing Du, Di Zhou, Kanyuan Han, Hui Sun, Huaixin Cao, and Weidong Tang
• Abstract summary: A kind of deterministic all-versus-nothing proof of Bell nonlocality induced from the qubit non-stabilizer state was proposed. Here we present an example induced from a specific four-qudit non-stabilizer state.
• Score: 11.190823369797998
• License: http://creativecommons.org/licenses/by/4.0/
• 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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