论文标题

变形和纯化之间的竞争:Quaternionic代表和Quaternionic分形

Competition between decoherence and purification: quaternionic representation and quaternionic fractals

论文作者

Viennot, David

论文摘要

我们考虑了矫正过程与迭代量子纯化协议之间的竞争。我们表明,这项竞争可以通过非线性地图建模到季节空间。该非线性图具有复杂的行为,诱导量子状态区域之间的分形边界,这些量子状态由纯化的影响和量子状态的面积为主导,而量子状态的面积受纯化的影响占主导地位。边界上的国家不稳定。在该边界的3D空间中的嵌入就像一个四基因朱莉娅集或具有分形内结构的mandelbulb。

We consider the competition between decoherence processes and an iterated quantum purification protocol. We show that this competition can be modelled by a nonlinear map onto the quaternion space. This nonlinear map has complicated behaviours, inducing a fractal border between the area of the quantum states dominated by the effects of the purification and the area of the quantum states dominated by the effects of the decoherence. The states on the border are unstable. The embedding in a 3D space of this border is like a quaternionic Julia set or a Mandelbulb with a fractal inner structure.

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