We propose a new family of coherence monotones, named the generalized coherence concurrence (or coherence k-concurrence), which is an analogous concept to the generalized entanglement concurrence. The coherence k-concurrence of a state is nonzero if and only if the coherence number (a recently introduced discrete coherence monotone) of the state is not smaller than k, and a state can be convert...

This article presents a new way of generating a generalized state equation that is useful for analyzing the token flow of the Petri Net (PN) with priority. The transition values in the firing vector as used in the conventional state equation are replaced with transition variables, which are generated by multiplying a series of firing condition functions taking the weighted inhibitor arc into ac...

This note considers the problems of robust stability and stabilization for uncertain continuous singular systems with state delay. The parametric uncertainty is assumed to be norm bounded. The purpose of the robust stability problem is to give conditions such that the uncertain singular system is regular, impulse free, and stable for all admissible uncertainties, while the purpose of robust sta...

In this note we examine the solution and the impulsive behavior of autonomous linear multivariable systems whose pseudo-state β (t) obeys a linear matrix differential equation A (ρ)β (t) = 0 where A (ρ) is a polynomial matrix in the differential operator ρ := d dt . We thus generalize to the general polynomial matrix case some results obtained in [2][3] which regard the impulsive behavior of th...

A generalized quantum search algorithm, where phase inversions for the marked state and the prepared state are replaced by π/2 phase rotations, is realized in a 2-qubit NMR heteronuclear system. The quantum algorithm searches a marked state with a smaller step compared to standard Grover algorithm. Phase matching requirement in quantum searching is demonstrated by comparing it with another gene...

This paper deals with the structural properties of lattice-ladder realization of digital filters in a state-space model context. A salient feature of the lattice-ladder realization in state space is its close connection to the Schwarz form, a class of matrices which plays a key role in the stability analysis of linear systems. This connection is further investigated and generalized in this pape...

We revisit the conjecture of a generalized second law of thermodynamics which states that the combined entropy of matter and horizons must grow. In an expanding universe a generalized second law restricts the equation of state. In particular, it conflicts with long phases of a phantom, w < −1, equation of state.

We study generalized amalgamation properties in simple theories. We state the definition of generalized amalgamation in such a way so that the properties are preserved under interpreted theories. To deal with the properties, new notions of generalized types and generalized Morley sequences are introduced. We consider several sub-hierarchies of simple theories that affect generalized amalgamatio...