We find a canonical form for pure states of a general multipartite system, in which the constraints on the coordinates (with respect to a factorisable orthonormal basis) are simply that certain ones vanish and certain others are real. For identical particles they are invariant under permutations of the particles. As an application, we find the dimension of the generic local equivalence class.

Inspired by the recent results in [4] and the concept of metric adjusted skew information introduced by Hansen in [6], we here give a further generalization for Schrödinger-type uncertainty relation applying metric adjusted correlation measure introduced in [6]. We firstly give some notations according to those in [4]. Let Mn(C) and Mn,sa(C) be the set of all n × n complex matrices and all n × ...

In his excellent article, ‘‘Can We Just Help by Good Intentions? A Meta-Analysis of Experiments on Distant Intention Effects,’’ Stefan Schmidt, PhD, demonstrates persuasively that there are an abundance of studies indicating the positive effect of benevolent intention. His meta-analysis of 11 studies, with 576 single sessions, on studies involving the question of whether the attentional perform...

Gabor Matthäus, Stefan Nolte, Rico Hohmuth, Martin Voitsch, Wolfgang Richter, Boris Pradarutti, Stefan Riehemann, Gunther Notni, and Andreas Tünnermann Institute of Applied Physics, Friedrich-Schiller-University Jena, Max-Wien-Platz 1, Jena D-07743, Germany BATOP GmbH, Wildenbruchstrasse 15, Jena D-07745, Germany Fraunhofer Institute for Applied Optics and Precision Engineering, Albert-Einstein...

In this article we study convexity properties of distance functions in infinite dimensional Finsler unitary groups, such as the full group, Schatten perturbations identity and groups finite von Neumann algebras. The structures are defined by translation different norms on tangent space at identity. We first prove a result for metric derived from operator norm group. also strong results squared ...

We introduce positive operator-valued measure (POVM) generated by the projective unitary representation of a direct product locally compact Abelian group G with its dual $${\hat{G}}$$ . The method is based upon Pontryagin duality allowing to establish an isometrical isomorphism between space Hilbert–Schmidt operators in $$L^2(G)$$ and Hilbert $$L^2({\hat{G}}\times G)$$ Any such determines pair ...

Several authors [1–4] have implied that the original inspiration for Parrondo’s games was a physical system called a “flashing Brownian ratchet [5, 6]” The relationship seems to be intuitively clear but, surprisingly, has not yet been established with rigor. The dynamics of a flashing Brownian ratchet can be described using a partial differential equation called the Fokker-Planck equation [7], ...