Let $S(\rho)$ be the von Neumann entropy of a density matrix $\rho$. Weak monotonicity asserts that $S(\rho_{AB}) - S(\rho_A) + S(\rho_{BC}) S(\rho_C)\geq 0$ for any tripartite $\rho_{ABC}$, fact is equivalent to strong subadditivity entropy. We prove an operator inequality, which, upon taking expectation value with respect state reduces weak inequality. Generalizations this inequality one invo...

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 18 February 2021Accepted: 26 July 2021Published online: 30 November 2021KeywordsHelmholtz equation, trapping, quasimodes, eigenvalues, resonances, semiclassical analysisAMS Subject Headings35J05, 35P15, 35B34, 35P25Publication DataISSN (print): 0036-1410ISSN (online): 109...

Abstract A high-performance density-based topology optimization tool is presented for laminar flows with focus on 2D and 3D aerodynamic problems via OpenFOAM software. Density-based methods are generally robust in terms of initial design, making them suitable designing purposes. However, these require relatively fine resolutions external flow to accurately capture the solid-fluid interfaces Car...

A systematic study is made of spectral measures in locally convex spaces which are countably additive for the topology of uniform convergence on bounded sets, briefly, the bounded convergence topology. Even though this topology is not compatible for the duality with respect to the pointwise convergence topology it turns out, somewhat surprisingly, that the corresponding L'-spaces for the spectr...

In the paper an elliptic quasi–variational–hemivariational inequality with constraints in a Banach space is studied. First, we apply Minty technique, KKM principle and theory of nonsmooth analysis to establish solvability problem. Then, employ generalized penalty regularization method for introduce family penalized regularized problems no Gâteaux differentiable potentials. Through limit procedu...

Following a similar result of Uspenskij on the unitary group of a separable Hilbert space we show that with respect to the lower (or Roelcke) uniform structure the Polish group G = Aut(μ), of automorphisms of an atomless standard Borel probability space (X,μ), is precompact. We identify the corresponding compactification as the space of Markov operators on L2(μ) and deduce that the algebra of r...

The traditional distributed tactical training simulation system is limited by the availability and bandwidth of military network transmission channel does not have feasibility remote interconnection spatial sub-regional deployment. In this paper, a new communication method proposed to solve problem strong business coupling between nodes under condition low bandwidth. operator federated exchange...

In these proceedings, we review some basic properties of the overlap Dirac operator and how its index can be computed by spectral flow techniques. One of the side results is that for fermions in the adjoint representation of SU(N) we find evidence for fractional topological charge. The presentation is pedagogical with the intent of illustrating the origin of numerical difficulties in simulating...

Let l be a length function on a group G, and let Ml denote the operator of pointwise multiplication by l on l(G). Following Connes, Ml can be used as a “Dirac” operator for C ∗ r (G). It defines a Lipschitz seminorm on C∗ r (G), which defines a metric on the state space of C∗ r (G). We show that if G is a hyperbolic group and if l is a word-length function on G, then the topology from this metr...