Time asymptotics and entanglement generation of Clifford quantum cellular automata
Time asymptotics and entanglement generation of Clifford quantum cellular automata
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DOI：
10.1063/1.3278513
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发表时间：
2010-01-01
影响因子：
1.3
通讯作者：
Zimboras, Zoltan
中科院分区：
文献类型：
--
作者：
Guetschow, Johannes;Uphoff, Sonja;Zimboras, Zoltan
我们考虑Clifford量子细胞自动机（CQCA）及其时间演化。CQCA是一种特别简单的量子细胞自动机，但它们显示出复杂的渐近性，甚至可以成为通用量子计算的基本成分。在这项工作中，我们研究了不同类别的CQCA的时间演化。我们区分周期性CQCA，分形CQCA，CQCA与滑翔机。然后，我们确定不变的状态，并研究收敛性质的状态，如准自由和稳定状态。最后，我们考虑了纠缠的产生解析和数值的稳定态和准自由态。
We consider Clifford quantum cellular automata (CQCAs) and their time-evolution. CQCAs are an especially simple type of quantum cellular automata, yet they show complex asymptotics and can even be a basic ingredient for universal quantum computation. In this work we study the time evolution of different classes of CQCAs. We distinguish between periodic CQCAs, fractal CQCAs, and CQCAs with gliders. We then identify invariant states and study convergence properties of classes of states, such as quasifree and stabilizer states. Finally, we consider the generation of entanglement analytically and numerically for stabilizer and quasifree states.