Quantifying High-Order Interdependencies in Entangled Quantum States

التفاصيل البيبلوغرافية
العنوان: Quantifying High-Order Interdependencies in Entangled Quantum States
المؤلفون: Javarone, Marco Alberto, Rosas, Fernando E., Facchi, Paolo, Pascazio, Saverio, Stramaglia, Sebastiano
المصدر: Phys. Rev. A 109, 042605 (2024)
سنة النشر: 2023
المجموعة: Quantum Physics
مصطلحات موضوعية: Quantum Physics
الوصف: Here, we leverage recent advances in information theory to develop a novel method to characterise the dominant character of the high-order dependencies of quantum systems. To this end, we introduce the Q-information: an information-theoretic measure capable of distinguishing quantum states dominated by synergy or redundancy. We illustrate the measure by investigating the properties of paradigmatic entangled Qubit states and find that -- in contrast to classical systems -- quantum systems need at least four variables to exhibit high-order properties. Furthermore, our results reveal that unitary evolution can radically affect the internal information organisation in a way that strongly depends on the corresponding Hamiltonian. Overall, the Q-information sheds light on novel aspects of the internal organisation of quantum systems and their time evolution, opening new avenues for studying several quantum phenomena and related technologies.
Comment: 7 pages, 3 figures, 1 table
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevA.109.042605
URL الوصول: http://arxiv.org/abs/2310.03681
رقم الأكسشن: edsarx.2310.03681
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevA.109.042605