We propose a duality for N = 2 d = 3 Chern-Simons gauge theories with orthogonal gauge groups and matter in the vector representation. This duality generalizes levelrank duality for pure Chern-Simons gauge theories with orthogonal gauge groups and is reminiscent of Seiberg duality in four dimensions. We perform extensive checks by comparing partition functions of theories related by dualities. ...

Relying on a mathematical analogy of the pure states of the two-qubit system of quantum information theory with four-component spinors we introduce the concept of the intrinsic entanglement of spinors. To explore its physical sense we study the entanglement capabilities of the spin representation of (pseudo-) conformal transformations in (3+1)dimensional Minkowski space-time. We find that only ...

The paper proposes a model for asset prices which is the exponential of a pure jump process with anN -state Markov switching compensator. This model extends that of Madan and Konikov. Such a process has a good chance of capturing all empirical stylized features of stock price dynamics. A closed form representation of its characteristic function is given. Option pricing is formulated in Fourier ...

We review the relationship between positive operator-valued measures (POVMs) in quantum measurement theory and asymptotic morphisms in the C∗-algebra E-theory of Connes and Higson. The theory of asymptotic spectral measures, as introduced by Martinez and Trout [1], is integrally related to positive asymptotic morphisms on locally compact spaces via an asymptotic Riesz Representation Theorem. Ex...

This work gives a detailed investigation of matrix product state (MPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical forms and provide efficient methods for obtaining them. Results on frustration free Hamiltonians and the generation of MPS are extended, and the use of the MPS-r...

We investigate the geometrical structure of multipartite states based on the construction of toric varieties. We show that the toric variety represents the space of general pure states and projective toric variety defines the space of separable set of multi-qubits states. We also discuss in details the construction of single-, two-, three-, and multiqubits states. This construction gives a very...

We present a high statistics analysis of the pure gauge compact U(1) lattice theory using the the world−sheet or Lagrangian loop representation. We have applied a simulation method that deals directly with (gauge invariant) integer variables on plaquettes. As a result we get a significant amelioration of the simulation that allows to work with large lattices avoiding the metaestability problems...

The paper presents a pure Prolog-based API for controlling the LEGO Mindstorms NXT robot platform. In the paper the design as well the implementation is described, with an example algorithm presented. The API uses a multilayer architecture, composed of a behavioral, sensomotoric, and connection layer. This platform can be used as a generic solution for programming the NXT in Prolog. It also ser...

A likelihood order is defined over linear subspaces of a finite dimensional Hilbert space. The question arises as to when such an order can be represented by a quantum probability. We introduce a few behaviorally plausible axioms that provide the answer in two cases: pure state and uniform measure. The general problem is answered by using duality-like conditions. The general problem of characte...