arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0708.2657quant-ph
收藏

介导均质化

Mediated Homogenization

Daniel Burgarth, Vittorio Giovannetti

摘要:

均匀化协议通过重复地将系统与一组相同的附属物耦合,将系统的量子力学演化建模为独立于其初始配置的固定状态。在这里,我们分析这些协议内的形式主义的“放松”的渠道提供了一个容易检查的充分条件均匀化。在这种情况下,我们描述介导的均匀化方案,其中连接的量子网络松弛到一个固定的状态,只有部分相互作用的浴。我们还研究配置,使我们能够引入网络的元素之间的纠缠。最后,我们分析了具有两个不同浴的竞争配置的效果,我们证明了海森堡链的收敛到动力学平衡。

英文摘要:

Homogenization protocols model the quantum mechanical evolution of a system to a fixed state independently from its initial configuration by repeatedly coupling it with a collection of identical ancillas. Here we analyze these protocols within the formalism of "relaxing" channels providing an easy to check sufficient condition for homogenization. In this context we describe mediated homogenization schemes where a network of connected qudits relaxes to a fixed state by only partially interacting with a bath. We also study configurations which allow us to introduce entanglement among the elements of the network. Finally we analyze the effect of having competitive configurations with two different baths and we prove the convergence to dynamical equilibrium for Heisenberg chains.

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。

↑