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arXiv quant-ph/0611171quant-ph
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选择性纠缠断裂

Selective entanglement breaking

Yuma Kinoshita, Ryo Namiki, Takashi Yamamoto, Masato Koashi, Nobuyuki Imoto

摘要:

我们讨论的情况下,本地退相干选择性地降低一种类型的纠缠比其他类型。一种典型的情况被称为态序变化,其中两个具有不同纠缠量的输入态经历局域退相干,并且具有较大纠缠的状态导致输出态具有比另一个输出态更小的纠缠。我们还对一种特殊情况感兴趣,即具有较大纠缠的状态演化为可分离状态,而另一个输出状态仍然纠缠,我们称之为选择性纠缠打破。对于三能级或更大的系统,很容易找到态序改变和选择性纠缠打破的例子,但对于两能级系统,这种情况是否存在并不重要。我们提出了一种新的策略来构造两个量子比特态的例子,表现出选择性的纠缠打破,而不管纠缠度量。我们还给出了一个更引人注目的例子,其中较少纠缠的输入态只有无穷小的纠缠量。

英文摘要:

We discuss the cases where local decoherence selectively degrades one type of entanglement more than other types. A typical case is called state ordering change, in which two input states with different amounts of entanglement undergoes a local decoherence and the state with the larger entanglement results in an output state with less entanglement than the other output state. We are also interested in a special case where the state with the larger entanglement evolves to a separable state while the other output state is still entangled, which we call selective entanglement breaking. For three-level or larger systems, it is easy to find examples of the state ordering change and the selective entanglement breaking, but for two-level systems it is not trivial whether such situations exist. We present a new strategy to construct examples of two-qubit states exhibiting the selective entanglement breaking regardless of entanglement measure. We also give a more striking example of the selective entanglement breaking in which the less entangled input state has only an infinitesimal amount of entanglement.

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