格密码基础 5 (Lecture 2, LLL Algorithm) 注:本文章中内容和图片主要来源于 Oded Regev 的课堂讲义。今天开始,我们一起来学习经典密码分析算法 - LLL。首先,做个背景介绍。 0. Introduct在这节课中,我们描述了一个最短向量问题(… 六三发表于格密码理论... 格密码发展历史 某科学的超级嘴炮 密码学入门(一)...
Architecture-Dependent Execution Time of Shor's Algorithm. World Scientific, 183-188.Architecture-dependent execution time of Shor’s algorithm - Meter, Itoh, et al. - 2006 () Citation Context ...hm [1]. As the most notable example of a quantum-classical complexity separation, much effort ...
performance of the algorithm in such a way that the polynomial complexity of the algorithm no longer describes the scaling behavior of the algorithm’s execution time. It is possible to show that, in the presence of operator precision errors, Shor’s algorithm is no more efficient than ...
158 Was the reduction in Shor's algorithm originally discovered by Shor? 144 Why are 'student' and 'suspend' not pronounced as written? 116 Can “whose” refer to an inanimate object? 113 Why is there no "autumntime" or "falltime"? Academia...
The algorithm proposed in [27] can achieve arbitrary image/video downsizing. This algorithm takes advantage of compressed domain processing techniques and is processed completely in DCT domains without introducing further computation. When combined with the transcoding method described in [28], which can...
We explore the feasibility of a two-step semiclassical approximation of Shor's quantum algorithm based on coherent states. The first step is the implementation of a classical time-evolution for the spin 1/2 system making the computation. The second step is the coherent states approximation of ...
multiple (LCM) and Shor's algorithm is proposed, which enables the union of multiple sets to be computed all at once. In order to increase the one-time success probability of the protocol, we first improved Shor's period-finding algorithm, which is used in LCM computation and integer ...
Shor's algorithmSummary Because of the expansion of transformations and read/write memory states by tensor products in multidimensional quantum applications, the exponential increase in temporal and spatial complexities constitutes one of the main challenges for quantum computing simulations. Simulation of ...
Then, we precisely estimate the number of improved quantum circuits needed to perform the Shor's algorithm for factoring an n -bit integer, which is 217 n 3 / log 2 n 4 n 2 n. We analyse the running time and feasibility of the Shor's algorithm on an ion-trap qu...
Shor’s algorithmBecause of the expansion of transformations and read/write memory states by tensor products in multidimensionalrnquantum applications, the exponential increase in temporal and spatial complexities constitutesrnone of the main challenges for quantum computing simulations. Simulation ...