Quantum Brègman distances and categories
نویسنده
چکیده
We introduce, and investigate the properties of, the family of quantum Brègman distances, based on embeddings into suitable vector spaces (with the reflexive noncommutative Orlicz spaces over semi-finite W-algebras and noncommutative Lp spaces over any W-algebras providing two important examples). This allows us to define geometric categories for nonlinear quantum inference theory, with morphisms given by constrained minimisations of quantum Brègman distances.
منابع مشابه
Optimal architectures for long distance quantum communication
Despite the tremendous progress of quantum cryptography, efficient quantum communication over long distances (≥ 1000 km) remains an outstanding challenge due to fiber attenuation and operation errors accumulated over the entire communication distance. Quantum repeaters (QRs), as a promising approach, can overcome both photon loss and operation errors, and hence significantly speedup the communi...
متن کاملConstacyclic Codes over Group Ring (Zq[v])/G
Recently, codes over some special finite rings especially chain rings have been studied. More recently, codes over finite non-chain rings have been also considered. Study on codes over such rings or rings in general is motivated by the existence of some special maps called Gray maps whose images give codes over fields. Quantum error-correcting (QEC) codes play a crucial role in protecting quantum ...
متن کاملQuantum Theoretical studies of Nanostructures onto Hydrogen Adsorption on V-surface
We have studied the adsorption processes of H2 on the V (100) surface of Vanadium using self consistent field theory.Dissociative adsorptions of H2 are significantly favored compared to molecular adsorptions. There is a significant charge transfer from the first layer of the vanadium surface to the Hydrogen atoms. Three possible adsorption sites, top, bridge and center site, were considered in ...
متن کاملDesigning a Quantum Leadership Model in Secondary Schools Based on Data Theory
This study seeks to design a new and innovative model for school management using the data foundation method, a model that can be an effective aid in solving the problems and challenges facing school principals by using quantum leadership. Designing a quantum leadership model in secondary schools based on data theory is the main goal of this research and seeks to achieve a suitable model for ov...
متن کاملAn Entropy Proof of the Kahn-Lovász Theorem
Brègman [2], gave a best possible upper bound for the number of perfect matchings in a balanced bipartite graph in terms of its degree sequence. Recently Kahn and Lovász [8] extended Brègman’s theorem to general graphs. In this paper, we use entropy methods to give a new proof of the Kahn-Lovász theorem. Our methods build on Radhakrishnan’s [9] use of entropy to prove Brègman’s theorem.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/1710.01837 شماره
صفحات -
تاریخ انتشار 2017