论文标题

非单身通道对不同类别量子状态的影响的系统大小依赖性的比较研究

A comparative study of system size dependence of the effect of non-unitary channels on different classes of quantum states

论文作者

Narang, Geetu, Dogra, Shruti, Arvind

论文摘要

我们研究了不同类型的非单生量子通道对多量量子系统的影响。对于$ n $ qubit的系统和一个特定的通道,为了得出有关整个系统而不是特定状态的无偏见的结论,我们在给定的渠道下进化了大量随机生成的状态。我们增加了量子台的数量,并研究系统大小对破坏过程的影响。对于各种类型的环境,重复了整个方案,包括去极化通道,去极化通道,集体脱位通道和零温度浴。代表环境的非独立渠道是通过其karus操作员分解或主方程方法建模的。此外,对于给定的$ n $,我们将自己限制在对纠缠状态的特定子类的研究中,即GHz型和W型状态。我们在这些类中生成随机状态,并研究不同量子通道下的类行为,以$ n $的各种值。

We investigate the effect of different types of non-unitary quantum channels on multi-qubit quantum systems. For an $n$-qubit system and a particular channel, in order to draw unbiased conclusions about the system as a whole as opposed to specific states, we evolve a large number of randomly generated states under the given channel. We increase the number of qubits and study the effect of system size on the decoherence processes. The entire scheme is repeated for various types of environments which include dephasing channel, depolarising channel, collective dephasing channel and zero temperature bath. Non-unitary channels representing the environments are modeled via their Karus operator decomposition or master equation approach. Further, for a given $n$ we restrict ourselves to the study of particular subclasses of entangled states, namely the GHZ-type and W-type states. We generate random states within these classes and study the class behaviors under different quantum channels for various values of $n$.

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