We examine the performance of quantum error correcting codes subjected to random Haar distribution transformations of weight t. Rather than requiring correction of all errors, we require some high probability that a random error is corrected. We find that, for any integer i and arbitrarily high probability p < 1, there are codes which perfectly correct errors up to weight t and can correct erro...

Purpose To compare the postoperative higher-order-aberrations (HOAs) after hyperopic small incision lenticule extraction (SMILE), hyperopic laser-assisted in situ keratomileusis (LASIK), and lenticule implantation for correction of hyperopia. Methods Eighteen monkeys were divided to six groups: +2.00 D and +4.00 D hyperopic SMILE, +2.00 D and +4.00 D hyperopic LASIK (n = 6 eyes for each), and...

The Shallow Water Equations (SWE) are a set of nonlinear hyperbolic equations, describing long waves relative to the water depth. Physical phenomena such as tidal waves in rivers and seas, breaking of waves on shallow beaches and even harbour oscillations can be modelled successfully with the SWE. The 3D SWE (1.1){(1.3) given below for Cartesian (;) coordinates are based on the hydrostatic assu...

purpose: to report a case who had undergone lasik in his right eye and prk in the fellow eye for correction of equivalent myopia but developed progressive post-operative keratectasia only in the right eye. patient and findings: a 30-year-old man had undergone lasik in right eye 3 years ago for correction of refractive error of -1.75  -1.50@48° and prk in left eye 2 years ago for correction of r...

This paper describes a novel Forward Error Correction (FEC) based technique, VHPG FEC, which combats packet losses and packet errors simultaneously. The scheme proposed uses a twodimensional (2-D) coding approach in which, at the encoder, information carrying packets are arranged vertically to form the 2-D matrix. The first code is applied along the horizontal direction to form the redundancy p...

Sparse grids are tailored to the approximation of smooth high-dimensional functions. On a d-dimensional cube, the number of grid points is N = O(h−1| log h|d−1) with a mesh size parameter h. The so-called combination technique, based on hierarchical decomposition, facilitates the numerical solution of partial differential equations on these grids. Key to the convergence analysis are specific mu...

In this work, the performance and reliability analysis of a crossbar molecular switch nanomemory demultiplexer is studied and results presented. In particular, we investigate the impact on the performance of a crossbar nanomemory demultiplexer of implementing a combination of error correction coding and multi-switch junction fault tolerance schemes. Results indicate that delay and power scale l...

PURPOSE To determine if multiple states for the initiation of pursuit, as assessed by acceleration in the "open-loop" period, can be learned and gated by context. METHODS Four normal subjects were studied. A modified step-ramp paradigm for horizontal pursuit was used to induce adaptation. In an increasing paradigm, target velocity doubled 230 msec after onset; in a decreasing paradigm, it was...

The Shallow Water Equations (SWE) are a set of nonlinear hyperbolic equations, describing long waves relative to the water depth. Physical phenomena such as tidal waves in rivers and seas, breaking of waves on shallow beaches and even harbour oscillations can be modelled successfully with the SWE. The 3D SWE (1.1){(1.3) given below for Cartesian (;) coordinates are based on the hydrostatic assu...

Extensive quantum error correction is necessary in order to perform a useful computation on noisy computer. Moreover, must be implemented based imperfect parity check measurements that may return incorrect outcomes or inject additional faults into the qubits. To achieve fault-tolerant correction, Shor proposed repeat sequence of until same outcome observed sufficiently many times. Then, one can...