对称进化
Symmetrizing Evolutions
摘要：
我们介绍了使任意量子系统S的动力学具有$\cal G$ -不变性的量子过程，其中$\cal G$是作用在S的空间态上的有限群。这个想法的几个应用程序进行了讨论。特别是当S是一个N比特量子计算机与它的环境和$\cal G$量子比特排列的对称群相互作用时，所产生的有效动力学允许无噪声子空间。此外，它表明，最近推出的迭代脉冲方案，以减少量子计算机中的退相干适合在这个一般框架。由于其变换性质，通过对称化过程滤除了哈密顿量的噪声诱导分量。
英文摘要：
We introduce quantum procedures for making $\cal G$-invariant the dynamics of an arbitrary quantum system S, where $\cal G$ is a finite group acting on the space state of S. Several applications of this idea are discussed. In particular when S is a N-qubit quantum computer interacting with its environment and $\cal G$ the symmetric group of qubit permutations, the resulting effective dynamics admits noiseless subspaces. Moreover it is shown that the recently introduced iterated-pulses schemes for reducing decoherence in quantum computers fit in this general framework. The noise-inducing component of the Hamiltonian is filtered out by the symmetrization procedure just due to its transformation properties.
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