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Quantum Computation and Quantum Information - Michael A. Nielsen, Isaac L. Chuang

Quantum Computation and Quantum Information

Michael A. Nielsen, Isaac L. Chuang

出版社

Cambridge University Press

出版时间

2011-01-31

ISBN

9781107002173

评分

★★★★★

标签

量子计算量子信息计算机科学Quantum

书籍介绍
One of the most cited books in physics of all time, Quantum Computation and Quantum Information remains the best textbook in this exciting field of science. This 10th anniversary edition includes an introduction from the authors setting the work in context. This comprehensive textbook describes such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error-correction. Quantum mechanics and computer science are introduced before moving on to describe what a quantum computer is, how it can be used to solve problems faster than 'classical' computers and its real-world implementation. It concludes with an in-depth treatment of quantum information. Containing a wealth of figures and exercises, this well-known textbook is ideal for courses on the subject, and will interest beginning graduate students and researchers in physics, computer science, mathematics, and electrical engineering.
精彩摘录
  • "Quantum mechanics is a mathematical framework or set of rules for the construction of physical theories."
  • "One of the goals of quantum computation and quantum information is to develop tools which sharpen our intuition about quantum mechanics, and make its predictions more transparent to human minds."
  • "Science offers the boldest metaphysics of the age. It is a thoroughly human construct, driven by the faith that if we dream, press to discover, explain, and dream again, thereby plunging repeatedly into new terrain, the world will somehow come clearer and we will grasp the true strangeness of the un"
  • "Indeed, projective measurements actually turn out to be equivalent to the general measurement postulate, when they are augmented with the ability to perform unitary transformations, as described in Postulate 2. where \(P_m\) is the projector onto the eigenspace of \(M\) with eigenvalue \(m\)."
  • "\begin{align} \tilde{A}[f_1(x)+f_2(x)]&=\tilde{A}f_1(x)+\tilde{A}f_2(x)\\ \tilde{A}cf(x)&=c^*\tilde{A}f(x) \end{align}"
  • "\begin{align} [\Delta(M)]^2&=\langle(M-\langle M\rangle)^2\rangle\\ &=\langle M^2\rangle - \langle M\rangle^2 \end{align}"
  • "More generally, a complexity class is defined to be a collection of languages."
  • "a pure state satisfies \(\mathrm{tr}(\rho^2) = 1\), while a mixed state satisfies \(\mathrm{tr}(\rho^2 ) < 1\)"
用户评论
I was hesitate to do quantum in grad school but quit it after all. And the author/Nielsen most doing research related work with YC. Some skeptism of roi of current incomplete information in acamedia
之前在读的那本适合搭配上课用，这本才是真正意义的self-contained。但是正是由于这本内容全面，在无人指导的情况下全部阅读太耗时间。因此搭配一本更粗略的书一起读，可以暂时跳过一些短期内用不上的定理。
相当全面细致而具有开创性的教材。
信息论和计算理论零基础的物理背景人士来看这本, 感觉其体系强大而细节有点少. 第一章对计算机文化和复杂度有个不错的科普, 而第四章的量子计算介绍，好像习题和例子有点少，不够爽. 后面的信息熵不等式还是蛮细致的; 补记:五六章有量子算法具体介绍,终于感觉到点实在的东西了,第七章介绍量子计算机的物理实现，无疑是物理学家最关心的话题，虽然可能讨论已经不够前沿
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