布尔相位门的鲁棒设备无关认证
Robust Device-Independent Certification of Boolean-Phase Gates
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中文总结 AI 辅助
本文提出一种基于布尔导数和CHSH块的鲁棒设备无关认证方案，用于布尔相位门，通过经典处理局部结果实现自测试和保真度下界，并给出CCZ门的更强鲁棒性界。
中文摘要 AI 辅助
量子门的设备无关认证要求输入和输出测试识别相同的参考量子比特。仅对输出 Choi 态进行自测试并不能保证这种一致性。我们为布尔相位门（由布尔函数指定的一类广泛的计算基对角门）开发了一种鲁棒认证方案。布尔导数将依赖于目标相位的相位信息转化为可以从局部测量结果评估的经典符号。这导致基于 CHSH 模块构建的贝尔测试，每方使用两个二元测量，且不需要纠缠测量。在最大违反时，测试自测试归一化 Choi 态和测量的可观测量。偏离最大值时，它们给出了提取态平方保真度的显式仿射下界，该下界对所有布尔函数一致，并在任意局部维度中有效。然后，我们在独立源网络中结合身份测试和门输出测试，其中参考设备使用相同的物理可观测量，获得了有效 n 量子比特信道的闭合形式 Choi 保真度界。对于 CCZ，联合六方分析给出了更强的鲁棒性界，而无需改变贝尔表达式或测量设置。该构造展示了门的代数结构如何将依赖于目标的信息从量子测量设计转移到局部结果的经典处理。
英文摘要
Device-independent certification of a quantum gate requires the input and output tests to identify the same reference qubits. Self-testing the output Choi state alone does not guarantee this consistency. We develop a robust certification scheme for Boolean-phase gates, a broad family of computational-basis diagonal gates specified by Boolean functions. Boolean derivatives convert the target-dependent phase information into classical signs that can be evaluated from local measurement outcomes. This leads to Bell tests built from CHSH blocks using two binary measurements per party and no entangling measurements. At maximal violation, the tests self-test the normalized Choi state and the measured observables. Away from the maximum, they give an explicit affine lower bound on the extracted-state squared fidelity that is uniform over all Boolean functions and valid in arbitrary local dimensions. We then combine an identity test and a gate-output test in an independent-source network in which the reference devices use the same physical observables, obtaining a closed-form Choi-fidelity bound for an effective \(n\)-qubit channel. For CCZ, a joint six-party analysis gives a stronger robustness bound without changing the Bell expression or measurement settings. The construction shows how the algebraic structure of a gate can shift target-dependent information from quantum measurement design to classical processing of local outcomes.
发表机构
- College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics（南京航空航天大学计算机科学与技术学院）
- Faculty of Physics, University of Belgrade（贝尔格莱德大学物理学院）
机构由 AI 辅助整理，请以论文原文为准。
