Relative spectral theory and measure-theoretic entropy of gaussian extensions
نویسندگان
چکیده
منابع مشابه
Spectral Graph Theoretic Analysis of Tsallis Entropy-based Dissimilarity Measure
In this paper we introduce a nonextensive quantum information theoretic measure which may be defined between any arbitrary number of density matrices, and we analyze its fundamental properties in the spectral graph-theoretic framework. Unlike other entropic measures, the proposed quantum divergence is symmetric, matrix-convex, theoretically upper-bounded, and has the advantage of being generali...
متن کاملGaussian relative entropy of entanglement
For two gaussian states with given correlation matrices, in order that relative entropy between them is practically calculable, I in this paper describe the ways of transforming the correlation matrix to matrix in the exponential density operator. Gaussian relative entropy of entanglement is proposed as the minimal relative entropy of the gaussian state with respect to separable gaussian state ...
متن کاملExtensions of the quasi - Gaussian entropy
In this paper we present the quasi-Gaussian entropy theory in a comprehensive and consistent way, introducing a new derivation of the theory very suited for applications to molecular systems, and addressing its use in the case of multi-phase systems. A general derivation of the possible connnement of the system within a part of phase space is given, and for water it is shown that for this a har...
متن کاملON RELATIVE CENTRAL EXTENSIONS AND COVERING PAIRS
Let (G;N) be a pair of groups. In this article, first we con-struct a relative central extension for the pair (G;N) such that specialtypes of covering pair of (G;N) are homomorphic image of it. Second, weshow that every perfect pair admits at least one covering pair. Finally,among extending some properties of perfect groups to perfect pairs, wecharacterize covering pairs of a perfect pair (G;N)...
متن کاملThe entropy theory of symbolic extensions
Fix a topological system (X, T ), with its space K(X, T ) of T invariant Borel probabilities. If (Y, S) is a symbolic system (subshift) and φ : (Y, S) → (X, T ) is a topological extension (factor map), then the function h φ ext on K(X, T ) which assigns to each μ the maximal entropy of a measure ν on Y mapping to μ is called the extension entropy function of φ. The infimum of such functions ove...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2009
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm206-0-17