利用相干l1范数检测和分类三量子位态

A. Kumari, S. Adhikari
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摘要

纠缠是一种纯粹的量子力学现象,因此它没有经典的类比。另一方面,相干是经典光学和量子力学中众所周知的现象。近年来的研究表明,量子相干性可以作为量子信息理论的有用资源。我们将使用量子相干来检测和分类三量子位态的纠缠特性。此外,我们已经证明,如果任何三量子位态违反了检测一般双可分态的另一个必要条件,那么给定的三量子位态就不能是双可分态。由于三量子位系统只有三种状态,所以如果我们检测到所探测的状态既不是可分状态也不是可分状态,那么我们可以肯定地得出结论,给定的三量子位状态是一个真正的纠缠态。我们用几个例子说明了我们的结果。
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Detection and classification of three-qubit states using l_1 norm of coherence
Entanglement is a purely quantum mechanical phenomenon and thus it has no classical analog. On the other hand, coherence is a well-known phenomenon in classical optics and in quantum mechanics. Recent research shows that quantum coherence may act as a useful resource in quantum information theory. We will employ here quantum coherence to detect and classify the entanglement property of three-qubit states. Moreover, we have shown that if any three-qubit state violates another necessary condition for the detection of a general biseparable state then the given three-qubit state cannot be a biseparable state. Since there are only three categories of states for the three-qubit system so if we detect that the state under probe is neither a separable nor a biseparable state then we can definitely conclude that the given three-qubit state is a genuine entangled state. We have illustrated our results with a few examples.
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