Quantum resource theory of Bell nonlocality in Hilbert space

التفاصيل البيبلوغرافية
العنوان: Quantum resource theory of Bell nonlocality in Hilbert space
المؤلفون: Zanfardino, Gennaro, Roga, Wojciech, Takeoka, Masahiro, Illuminati, Fabrizio
سنة النشر: 2023
المجموعة: Quantum Physics
مصطلحات موضوعية: Quantum Physics
الوصف: We introduce a Hilbert space based resource theory of Bell nonlocality with the aim of providing bona fide measures of quantum nonlocality depending only on the intrinsic properties of the quantum states being considered. We construct our theory by defining the set of local (or free) states, i.e., the states that do not violate the Clauser-Horne-Shimony-Holt inequality; the set of free operations, i.e., the transformations that do not create the nonlocality resource, which includes local operations and shared randomness; and suitable measures of nonlocality based either on geometric distances or relative entropies with respect to the set of local states. We discuss the basic axiomatic structure that is needed for a meaningful characterization and quantification of Bell nonlocality and we illustrate the general resource theory so developed by applying it to specific classes of quantum states, including two-qubit Werner states, Bell-diagonal states, and Bell-diagonal states at fixed convexity.
Comment: 21 pages, 4 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2311.01941
رقم الأكسشن: edsarx.2311.01941
قاعدة البيانات: arXiv