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量子纠错
    Study of Quantum Error Correcting Code
    量子纠错码的研究
    Forms of 5 bit Quantum Error Correcting Codes
    五位量子纠错码的各种形式
    Versatility in quantum error correcting code of encodingone qubit in five qubits
    五量子比特编一量子比特的量子纠错码的编码多样性
    The code that combat noise is named quantum channel coding. Both quantum error correcting code and quantum error avoiding code are practical quantum channel coding schemes.
    克服量子信道噪声的编码就称为量子信道编码,实用的量子信道编码包括量子纠错码和量子避错码。
    Furthermore, we review the main methods of suppressing quantum decoherencein quantum computation, which are: quantum error correcting, quantum deherence-free-subspace, quantum dynamical decoupling and quantum feedback control.
    接着,论文介绍了目前进行量子退相干控制的四种主要方法:量子纠错编码方法、量子无退相干子空间方法、量子动力学解耦方法以及量子反馈控制方法。
    In 1998, Calderbank et al. create one of the most important class of quantum error correcting codes-additive quantum error correcting codes.
    在1998年,Calderbank等人提出了最重要的一类量子纠错码——加性量子纠错码。
    Since the problem of finding a certain additive quantum error correcting code can be translated into a problem of finding a corresponding self-orthogonal binary code with respect to symplectic inner product, it enable us to study the quantum error correcting codes directly from a point of mathematic problem rather than from a point of quantum mechanical problem.
    由于任何一个有关加性量子纠错码的性质的问题都可以转化为一个有关在辛内积下自正交的二元码的性质的问题,这使得人们可以抛开繁琐的量子力学背景转而直接从数学的角度来分析和研究加性量子纠错码,从而极大地简化了加性量子纠错码的研究。
    Hence it greatly simplifies the study on quantum error correcting codes.
    本文针对加性量子纠错码的几个方面做了一些分析和研究,其主要内容如下。
    In this thesis we study several topics of additive quantum error correcting codes.
    论文的第一章简要地介绍了量子纠错码产生背景和物理背景、经典纠错码和量子纠错码的基本概念、加性量子纠错码与在辛内积下自正交的二元码和在迹内积下的四元码之间的联系以及加性量子纠错码的研究现状。
    We survey what is presently known about the additive quantum error correcting codes at the end of this chapter.
    论文的第三章利用Krawtchouk多项式给出了纯的加性量子纠错码的一个线性规划界和两个纯的加性量子纠错码的上界的构造定理,并证明了利用这两个上界构造定理可以得到量子Singleton界和渐近量子Hamming界。
    The fields of quantum information and quantumneural computing are discussed in this article, in particular, the fundamentals of the field, source coding, quantum error correcting codes, capacities of quantum channels and quantum cryptography, and the comparison between quantum information theory and information theory and the comparison between neural computing and quantumneural computing are also given.
    从量子信息基础出发,讨论量子信息论和量子神经计算两个方面,前者涉及量子信源编码、量子纠错编码、量子信道容量计算以及量子信息加密等内容; 后者涉及量子神经计算基本原理。
    Based on the group theoretic framework of investigating quantum error correcting code, we found out at least 192 different forms of quantum error correcting codes for encoding one qubit in five qubits.
    基于群论框架研究量子纠错码 ,给出对五量子比特编一量子比特的量子纠错码的 192种不同形式的码
    With the foundation of classical error correcting code, the content of quantum error correcting code of basic thought, basic principle, basic scheme and quantum coding theorem etc. are elaborated. The problem in quantum informatics that theory and realization need to solve urgently is put forward in the paper.
    以经典纠错码为基础阐述了量子纠错码的基本思想、基本原理、基本方案和量子编码定理等内容的研究与进展,提出了在量子信息学中理论与实现急需解决的问题。
    Based on the quantum error correcting theory of superposition state,this paper constructs,by utilizing the H gates and the CNOT gates,a five-bit error correction circuit of quantum encoding,which can implement the least use of superposition state encoding under the condition of quantum Hamming bound.
    利用叠加态量子纠错思想,设计了由H门和CNOT门实现的5位量子编码纠错线路,实现了在量子Hamming界条件下用最少位的叠加态编码.
 

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