基于量子包络代数的广义无噪声量子码
Generalized Noiseless Quantum Codes utilizing Quantum Enveloping Algebras
摘要：
本文推广了Rasetti和Zanardi关于在量子计算机中利用演化保持态避免错误的结果。将动力学对称性的概念从经典李代数和群的水平推广到基于量子李代数和量子群（在Woronowicz意义下）的动力学对称性的水平。一个自然的连接被证明之间的状态保存的量子群的陈述和状态保存的演化与动力学对称性的适当的通用包络代数。说明性的例子进行了讨论。
英文摘要：
A generalization of the results of Rasetti and Zanardi concerning avoiding errors in quantum computers by using states preserved by evolution is presented. The concept of dynamical symmetry is generalized from the level of classical Lie algebras and groups to the level of dynamical symmetry based on quantum Lie algebras and quantum groups (in the sense of Woronowicz). A natural connection is proved between states preserved by representations of a quantum group and states preserved by evolution with dynamical symmetry of the appropriate universal enveloping algebra. Illustrative examples are discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
