We construct a novel three-dimensional quantum cellular automaton (QCA) based on system with short-range entangled bulk and chiral semion boundary topological order. argue that either the QCA is nontrivial, i.e. not finite-depth circuit of local gates, or there exists two-dimensional commuting projector Hamiltonian realizing order (characterized by $U(1)_2$ Chern-Simons theory). Our obtained fi...

This paper describes our design and implementations of projector-based computer augmented environment that allows users to interchange digital information between a computer and physical objects. We propose flexible and practical methods with low-cost projector display system only with a dual monitor personal computer although most previous approaches require high-cost equipments and complex te...

This paper describes a kind of active camouflage system named Optical Camouflage. Optical Camouflage uses the Retro-reflective Projection Technology, a projection-based augmented–reality system composed of a projector with a small iris and a retroreflective screen. The object that needs to be made transparent is painted or covered with retroreflective material. Then a projector projects the bac...

A brief introduction to the projector augmented wave method is given and recent developments are reviewed. The projector augmented wave method is an all-electron method for efficient ab-initio molecular dynamics simulations with full wave functions. It extends and combines the traditions of existing augmented wave methods and the pseudopotential approach. Without sacrificing efficiency, the PAW...

The supremum over all knot sequences of the max-norm of the orthogonal spline projector is studied with respect to the order k of the splines and their smoothness. It is first bounded from below in terms of the max-norm of the orthogonal projector onto a space of incomplete polynomials. Then, for continuous and for differentiable splines, its order of growth is shown to be √ k.

We give a functional analytic construction of the fermionic projector on a globally hyperbolic Lorentzian manifold of finite lifetime. The integral kernel of the fermionic projector is represented by a two-point distribution on the manifold. By introducing an ultraviolet regularization, we get to the framework of causal fermion systems. The connection to the “negative-energy solutions” of the D...

We report first principles calculations of the melting curve and principal Hugoniot (P − V curve) of body centered cubic (bcc) tantalum in the pressure range 0-300 GPa. A description of lattice dynamics and thermal properties of bcc Ta using finite temperature density functional theory (DFT) is presented. The approach works within the projector augmented wave (PAW) implementation of DFT and exp...