We study how two pieces of localized quantum information can be delocalized across a composite Hilbert space when a global unitary operation is applied. We classify the delocalization power of global unitary operations on quantum information by investigating the possibility of relocalizing one piece of the quantum information without using any global quantum resource. We show that onepiece relo...

We apply the concept of Asymptotic Preserving (AP) schemes [17] to the linearized p−system and discretize the resulting elliptic equation using standard continuous Finite Elements instead of Finite Differences. The fully discrete method is analyzed with respect to consistency, and we compare it numerically with more traditional methods such as Implicit Euler's method. Numerical results indicate...

A framework for coherent pattern extraction and prediction of observables measure-preserving, ergodic dynamical systems with both atomic continuous spectral components is developed. This based on an approximation the generator system by a compact operator Wτ reproducing kernel Hilbert space (RKHS). The skew-adjoint, thus can be represented projection-valued measure, discrete compactness, associ...

We discuss various aspects of anisotropic gravity in \((d+D)\)-dimensional spacetime, where D dimensions are treated as extra dimensions. It is based on the foliation preserving diffeomorphism invariance and conformal invariance. The anisotropy embodied by introducing a factor z which discriminates scaling degree against d-dimensional base spacetime Weyl scalar field mediates symmetry. There no...

We study matrix product unitary operators (MPUs) for fermionic one-dimensional (1D) chains. In stark contrast with the case of 1D qudit systems, we show that (i) MPUs do not necessarily feature a strict causal cone and (ii) all Quantum Cellular Automata (QCA) can be represented as MPUs. then introduce natural generalization latter, obtained by allowing an additional operator acting on their aux...