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The Random Discrete Action for 2-Dimensional Spacetime
Random Discrete Action 2-Dimensional Spacetime
2010/12/20
A one-parameter family of random variables, called the Discrete Action, is dened for a 2-dimensional Lorentzian spacetime of nite volume. The sin-gle parameter is a discreteness scale.
Quadratic discrete Fourier transform and mutually unbiased bases
Quadratic discrete Fourier transform mutually unbiased bases
2010/11/9
The present chapter [submitted for publication in "Fourier Transforms, Theory and Applications", G. Nikolic (Ed.), InTech (Open Access Publisher), Vienna, 2011] is concerned with the introduction and ...
Discrete basis of localized quantum states for the free particle
Discrete basis localized quantum states free particle
2010/11/8
An infinite discrete series of solutions of the free Schr\"odinger equation in one dimension is constructed. These solutions are normalizable, expand the whole space of solutions, are spatially multi-...
Spatial search using the discrete time quantum walk
Spatial search discrete time quantum walk
2010/11/8
We study the quantum walk search algorithm of Shenvi, Kempe and Whaley [PRA 67 052307 (2003)] on data structures of one to two spatial dimensions, on which the algorithm is thought to be less efficie...
The general aim of this paper is to supply a method to decide whether a discrete system decoheres or not, and under what conditions decoherence occurs, with no need of appealing to computer simulatio...
We consider crossovers with respect to the weak convergence theorems from a discrete-time quan-
tum walk (DTQW). We show that a continuous-time quantum walk (CTQW) and discrete- and
continuous-time ...
Limit Theorems for the Discrete-Time Quantum Walk on a Graph with Joined Half Lines
Theorems Discrete-Time Quantum Walk Graph Half Lines
2010/10/18
We consider a discrete-time quantum walk Wt, at time t on a graph with joined half lines J, which is composed of half lines with the same origin. Our analysis is based on a reduction of the walk o...
Causal Sets: Quantum gravity from a fundamentally discrete spacetime
Quantum gravity discrete spacetime
2010/3/18
In order to construct a quantum theory of gravity, we may have to abandon certain assumptions we were making. In particular, the concept of spacetime as a continuum substratum is questioned. Causal Se...
Discrete Time and Finite State Reflected Backward Stochastic Difference Equations
BSDE DF-RBSDE Comparison Theorem g-martingale mul-tiple prior martingale Knightian uncertainty
2010/4/27
In this paper, we firstly establish the discrete time and finite state reflected backward stochastic difference equations(DF-RBSDEs for short); then we explore the corresponding basic properties and t...
Two-dimensional discrete solitons in dipolar Bose-Einstein condensates
Two-dimensional discrete solitons dipolar Bose-Einstein condensates
2010/4/6
We analyze the formation and dynamics of bright unstaggered solitons in the disk-shaped dipolar Bose-Einstein condensate, which features the interplay of contact (collisional) and long-range dipole-di...
Discrete Breathers in One-Dimensional Diatomic Granular Crystals
Discrete Breathers One-Dimensional Diatomic Granular Crystals
2010/4/7
We report the experimental observation of discrete breathers in a one-dimensional diatomic granular crystal composed of compressed elastic beads that interact via Hertzian contact. We first characteri...
We show that certain types of quantum walks can be modeled as waves that propagate in a medium with phase and group velocities that are explicitly calculable. Since the group and phase velocities indi...
On the Spectrum of a Discrete Non-Hermitian Quantum System
difference operator non-Hermiticity spectrum eigenvalue eigenvector completely continuous operator
2010/4/13
In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a discrete counterpart of some continuous quantum systems on a complex contour. In particular, simple con...
We propose a quantization of linear, volume preserving, maps on the discrete and finite 3-torus T_N^3 represented by elements of the group SL(3,Z_N). These flows can be considered as special motions o...
Efficient reconciliation protocol for discrete-variable quantum key distribution
Efficient reconciliation protocol discrete-variable quantum key distribution
2010/4/13
Reconciliation is an essential part of any secret-key agreement protocol and hence of a Quantum Key Distribution (QKD) protocol, where two legitimate parties are given correlated data and want to agre...