A time-dependent periodic Hamiltonian admitting exact solutions is applied to construct a set of universal gates for quantum computer. The time evolution matrices are obtained in an explicit form and used to construct logic gates for computation. A way of obtaining entanglement operator is discussed, too. The method is based on transformation of soluble time-independent equations into time-depe...

We investigate one-parameter family of transformation on superfields of super principal chiral model and obtain different zero-curvature representations of the model. The parametric transformation is related to the super Riccati equations and an infinite set of local and non-local conservation laws is derived. A Lax representation of the model is presented which gives rise to a superspace monod...

Watershed Transformation in mathematical morphology is a powerful tool for image segmentation. Watershed transformation based segmentation is generally marker controlled segmentation. This paper purposes a novel method of image segmentation that includes image enhancement and noise removal techniques with the Prewitt’s edge detection operator. The proposed method is evaluated and compared to ex...

We consider a 1 + 1 dimensional field theory which contains both a complex fermion field and a real scalar field. We then construct a unitary operator that, by a similarity transformation, gives a continuum of equivalent theories which smoothly interpolate between the massive Thirring model and the sineGordon model. This provides an implementation of smooth bosonization proposed by Damgaard et ...

Modelling complex systems by graph transformation, we face scalability challenges both in our ability to create and understand these models and in the ability of tools to analyse them. To address these problems we propose to model graph transformation systems in views which can be understood and analysed separately. In particular, we show that transition systems can be generated separately for ...

• Classical: random walk in one dimension describes a particle that moves in the positive or negative direction according to the random outcome of some unbiased binary variable (e.g., a fair coin). • Quantum: The particle with two degree of freedom (for example spin) can move left or right according to its spin and one unitary operator can play coin roles (for example Hadamard operator).In quan...

We present a new method for automatically adjusting the tonal values of underexposed digital images. We make the most of the dynamic range of digital images, and adjust the tonal values through dynamic range remapping, with a specifically defined tone mapping operator. The operator comprises two concatenate terms. The first one is a global operator that adjusts the tonal values of underexposed ...

The median operator is a nonlinear (morphological) image transformation which has become very popular because it can suppress noise while preserving the edges. I t treats the foreground and background of an image in an identical way, that is, it is a self-dual operator. Unfortunately, the median operator lacks the idempotence property: it is not a morphological filter. This paper gives a comple...

This paper studies the construction of a refinement kernel for a given operator-valued reproducing kernel such that the vector-valued reproducing kernel Hilbert space of the refinement kernel contains that of the given kernel as a subspace. The study is motivated from the need of updating the current operator-valued reproducing kernel in multi-task learning when underfitting or overfitting occu...

Abstract Theories with higher derivatives involve linear instabilities in the Hamiltonian commonly known as Ostrogradski ghosts and can be viewed a very serious problem during quantization. To cure this , we have considered properties of antilinearity that found inherently non-Hermitian Hamiltonians. Owing to existence antilinearity, construct an operator, called V -operator, which acts intertw...