Quantum null-hypothesis device-independent Schmidt rank witness

التفاصيل البيبلوغرافية
العنوان: Quantum null-hypothesis device-independent Schmidt rank witness
المؤلفون: Batle, Josep, Białecki, Tomasz, Rybotycki, Tomasz, Tworzydło, Jakub, Bednorz, Adam
سنة النشر: 2023
المجموعة: Quantum Physics
مصطلحات موضوعية: Quantum Physics
الوصف: We investigate the dimensionality of bipartite quantum systems through the construction of a device-independent null witness test. This test assesses whether a given bipartite state conforms with the expected quantum dimension, Schmidt rank, and also distinguishes between real and complex spaces. By employing local measurements on each party, the proposed method aims to determine the minimal rank. By performing an experimental demonstration on IBM Quantum devices, we prove the exceptional accuracy of the test and its usefulness in diagnostics beyond routine calibrations. One of tests shows agreement with theoretical expectations within statistical errors. However, the second test failed by more than 6 standard deviations, indicating unspecified parasitic entanglements, with no known simple origin.
Comment: 7+8 pages, 8+5 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2312.13996
رقم الأكسشن: edsarx.2312.13996
قاعدة البيانات: arXiv