Results 131 to 140 of about 3,158,775 (365)
Analysis of density matrix embedding theory around the non‐interacting limit
Communications on Pure and Applied Mathematics, EarlyView.Abstract This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground‐state density matrix is a fixed‐point of the DMET map for non‐interacting systems, (ii) there exists a unique physical solution in the weakly‐interacting regime, and (iii ...
Eric Cancès +4 more
wiley +1 more source
Benefits of Open Quantum Systems for Quantum Machine Learning
Advanced Quantum Technologies, EarlyView., 2023 Quantum machine learning (QML), poised to transform data processing, faces challenges from environmental noise and dissipation. While traditional efforts seek to combat these hindrances, this perspective proposes harnessing them for potential advantages. Surprisingly, under certain conditions, noise and dissipation can benefit QML.
María Laura Olivera‐Atencio +2 more
wiley +1 more source
Derived Categories and the Analytic Approach to General Reciprocity Laws—Part II
International Journal of Mathematics and Mathematical Sciences, 2007 Building on the topological foundations constructed in Part I, we now go on to address the homological algebra preparatory to the projected final arithmetical phase of our attack on the analytic proof of general reciprocity for a number field.
Michael C. Berg
doaj +1 more source
Quantization of Noncompact Coverings and Strong Morita Equivalence [PDF]
arXiv, 2018 Any finite algebraic Galois covering corresponds to an algebraic Morita equivalence. Here the $C^*$-algebraic analog of this fact is proven, i.e. any noncommutative finite-fold covering corresponds to a strong Morita equivalence.
arxiv
Odd Khovanov homology for tangles [PDF]
arXiv, 2020 We extend the covering of even and odd Khovanov link homology to tangles, using arc algebras. For this, we develop the theory of quasi-associative algebras and bimodules graded over a category with a 3-cocycle. Furthermore, we show that a covering version of a level 2 cyclotomic half 2-Kac--Moody algebra acts on the bicategory of quasi-associative ...
arxiv
, 1999 In this article we show how to construct hierarchies of partial differential equations from the vertex operator representations of toroidal Lie algebras. In the smallest example—rank 2 toroidal cover of sl2—we obtain an extension of the KdV hierarchy. We
Y. Billig
semanticscholar +1 more source
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Communications on Pure and Applied Mathematics, EarlyView.Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley +1 more source
Covering dimension for nuclear C∗-algebras
Journal of Functional Analysis, 2003 We introduce the completely positive rank, a notion of covering dimension for nuclear $C^*$-algebras and analyze some of its properties. The completely positive rank behaves nicely with respect to direct sums, quotients, ideals and inductive limits. For abelian $C^*$-algebras it coincides with covering dimension of the spectrum and there are similar ...
openaire +3 more sources
On the Structure of Covers of Sofic Shifts
, 2011 A canonical cover generalizing the left Fischer cover to arbitrary sofic shifts is introduced and used to prove that the left Krieger cover and the past set cover of a sofic shift can be divided into natural layers.
Johansen, Rune
core
Jump resonance in the driven Chua's circuit to design frequency selective devices
International Journal of Circuit Theory and Applications, EarlyView.The paper defines the conditions for the emergence of jump resonance in the driven Chua's circuit. Jump resonance features are characterized by means of numerical simulations and through an experimental circuit. Guidelines to design the Chua's circuit parameters to have the desired jump features are introduced, providing a strategy to realize highly ...
Arturo Buscarino +2 more
wiley +1 more source