Amplifiers based on Josephson junctions allow for a fast and noninvasive readout of superconducting qubits. Motivated by the ongoing progress toward realization fault-tolerant qubits Majorana bound states, we investigate topological counterpart bifurcation amplifier. We predict that dynamics junction driven in appropriate parameter regime may be used as an additional tool to detect emergence st...

Abstract Design Theory is a mathematical theory of design based on Yoshikawa’s General Design Theory and Barwise and Seligman’s Channel Theory. Classifications is the structures of Channel theory, and they are used in Abstract Design Theory in order to formulate a scheme of design. Yoshikawa discussed design in terms of topology in General Design Theory. The aim of this paper is to show propert...

We prove quark confinement in four-dimensional QCD based on the criterion of area law of Wilson loop. First, Yang-Mills theory with a non-Abelian gauge group G is reformulated as a deformation of a novel topological field theory. Next, a special class of topological field theories is defined by both BRST and anti-BRST exact action corresponding to the maximal abelian gauge leaving the maximal t...

Rough set theory is a very effective tool to deal with granularity and vagueness in information systems. Covering-based rough set theory is an extension of classical rough set theory. In this paper, firstly we present the characteristics of the reducible element and the minimal description covering-based rough sets through downsets. Then we establish lattices and topological spaces in coveringb...

Recently two new degree concepts have been defined in graph theory: ev-degree and ve-degree. Also the evdegree and ve-degree Zagreb and Randić indices have been defined very recently as parallel of the classical definitions of Zagreb and Randić indices. It was shown that ev-degree and ve-degree topological indices can be used as possible tools in QSPR researches . In this paper we d...

We study a relation between topological quantum field theory and the Kodama (Chern-Simons) state. It is shown that the Kodama (Chern-Simons) state describes a topological state with unbroken diffeomorphism invariance in Yang-Mills theory and Einstein’s general relativity in four dimensions. We give a clear explanation of ”why” such a topological state exists. E-mail address: [email protected]

The idea of the effective topological theory for high-energy scattering proposed by H. and E. Verlinde is applied to the (2 + 1) dimensional gravity with Einstein action plus Chern-Simons terms. The calculational steps in the topological description are compared with the eikonal approximation. It is shown that the Lagrangian of the effective topological theory turns out to vanish except for bou...

We compare how computational effects are modelled in Classical Domain Theory and Topological Domain Theory. Both of these theories provide powerful toolkits for denotational semantics: Classical Domain Theory being introduced by Scott, and well-established and developed since; Topological Domain Theory being a generalization in which topologies more general than the Scott-topology are admitted....

We use an analogy between the Yang-Mills theory Hamiltonian and the matrix model description of the closed bosonic membrane theory to calculate the spectrum of glueballs in the large Nc limit. Some features of the Yang-Mills theory vacuum, such as the screening of the topological charge and vacuum topological susceptibility are discussed. We show that the topological susceptibility has differen...