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arXiv 2607.04035quant-ph

不假设酉可观测量的两量子比特最大纠缠态的稳健自测试

Robust self-test of the maximally entangled state of two-qubits without assuming unitary observables

  • University of Warsaw(华沙大学)
  • Universidade Estadual Paulista(圣保罗州立大学)

机构由 AI 辅助整理,请以论文原文为准。

Alexandre C. Orthey, Magdalena Stobińska-Moretto

AI总结:

研究不假设酉可观测量的两量子比特最大纠缠态的稳健自测试问题,通过规避测量装置的扩张,对物理非投影算子进行正则化并得出解析稳健性界限。

AI中文摘要:

标准的与设备无关的自测试使用奈马克扩张来假设投影测量,掩盖了现实非酉可观测量的操作限制。我们为单重态和泡利可观测量建立了一个稳健的纯自测试,完全规避了测量装置的扩张。假设一个纯态来模拟不可信源,我们对物理非投影算子进行正则化,并得出一个解析的\(\mathcal{O}(\sqrt{\epsilon})\)稳健性界限。我们的结果表明,与标准投影模型相比,对实际实现进行与设备无关的认证要求要高得多。

英文摘要:

Standard device-independent self-testing uses Naimark dilation to assume projective measurements, masking the operational limitations of realistic non-unitary observables. We establish a robust pure self-test for the singlet and Pauli observables that entirely circumvents dilation of the measurement apparatus. Assuming a pure state to model an untrusted source, we regularize the physical non-projective operators and derive an analytic $\mathcal{O}(\sqrtε)$ robustness bound. Our results suggest that device-independent certification of real implementations is significantly more demanding than standard projective models imply.

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