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经典词的量子复杂性

On the Quantum Complexity of Classical Words
课程网址: http://videolectures.net/eccs07_mueller_qcc/  
主讲教师: Markus Müller
开课单位: 柏林工业大学
开课时间: 2007-11-30
课程语种: 英语
中文简介:
我们证明了二进制词的经典和量子Kolmogorov复杂性符合一个加性常数,这两个复杂性都被定义为任意(经典响应)的最小长度。量子)输出相应的字的计算机程序,其结果是量子复杂性是经典复杂性对量子态域的扩展。这是真的,即使我们在量子计算机的输出中允许一个小的概率误差。基于一些分析估计和一个经典的通用量子计算机模拟程序,我们概述了这一说法的数学证明。
课程简介: We show that classical and quantum Kolmogorov complexity of binary words agree up to an additive constant.Both complexities are defined as the minimal length of any (classical resp. quantum) computer program that outputsthe corresponding word.It follows that quantum complexity is an extension of classical complexity to the domain of quantum states. This is true even if we allow a small probabilistic error in the quantum computer's output. We outline a mathematical proof of this statement, based on some analytical estimates and a classical programfor the simulation of a universal quantum computer.
关 键 词: 计算机程序; 量子计算机; 量子态
课程来源: 视频讲座网
最后编审: 2021-01-31:nkq
阅读次数: 49