Algebraic Techniques; Lie Groups and Lie Algebras; Discrete Mathematics; Quantum Groups; Stochastic Methods.
代数技巧；李群和李代数；离散数学；量子群；随机方法。
Topics covered range from computational complexity, algebraic geometry, dynamics, through to number theory and quantum groups.
直达数论和量组，题目由于计算的复杂性，代数学的几何学，力学包括范围。
The global crystal basis or canonical basis plays an important role in the theory of the quantum groups and their representations.
整体晶体基（又称为典范基）在量子群及其表示理论中起着重要的作用。
Such a quantum repeater USES groups of three photons for each bit of the message.
这种量子中继器使用一组三个光子对应信息的一个字节。
A number of groups of academics and engineers, for example, are pondering how to make transistors in which quantum tunnelling is a feature rather than a bug.
比如，大量的学术人员和工程人员正在思考，如何制造出这样一种晶体管，使得量子隧道成为一种特色，而不是一种缺陷。
A number of groups of academics and engineers, for example, are pondering how to make transistors in which quantum tunnelling is a feature rather than a bug.
比如，大量的学术人员和工程人员正在思考，如何制造出这样一种晶体管，使得量子隧道成为一种特色，而不是一种缺陷。
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