We introduce a simple representation for irreducible spherical tensor operators of the rotation group of arbitrary integer or half integer rank and use these tensor operators to construct matrix product states corresponding to all the variety of valence-bond states proposed in the Affleck-Kennedy-Lieb-Tasaki (AKLT) construction. These include the fully dimerized states of arbitrary spins, the p...

The notion of anyonic Wick algebras is introduced and the corresponding second quantisation procedure is discussed. Applications to the physics of 2D anyonic matter are presented. In particular the existence of thermodynamics in the in nite volume for the case of Leinaas-Myrheim potentials is presented. Additionally a new class of states corresponding to quasifree thermal states on some Wick al...

In this paper, we introduce a notion of generalized states from an EQ-algebra E1 to another EQ-algebra E2, which is a generalization of internal states (or state operators) on an EQ-algebra E. Also we give a type of special generalized state from an EQ-algebra E1 to E1, called generalized internal states (or GI-state). Then we give some examples and basic properties of generalized (internal) st...

One of the most interesting challenges in the area of social computing and social media analysis is the so-called community analysis. A well known barrier in cross-community (multiple website) analysis is the disconnectedness of these websites. In this paper, our aim is to provide evidence on the existence of a mapping among identities across multiple communities, providing a method for connect...

Deming Zhai12 [email protected] Bo Li12 [email protected] Hong Chang23 [email protected] Shiguang Shan23 [email protected] Xilin Chen23 [email protected] Wen Gao14 [email protected] 1 School of Computer Science and Technology, Harbin Institute of Technology, China 2 Digital Media Research Center, Institute of Computing Technology, CAS, China 3 Key Laboratory of Intelligent Information Processing, Chinese ...

We discuss qubit-state superpositions in the probability representation of quantum mechanics. study distributions describing separable qubit states. consider entangled states on example a system two qubits (Bell states) using corresponding wave functions associated with these establish connection properties and structure distributions.