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On the correspondence between three nodes W states in quantum network theory and the oriented links in knot theory 下载免费PDF全文
The GHZ states and W states are two fundamental types of three qubits quantum entangled states. For finding the knotted pictures of three nodes W states, on the one side, we empty any one node, thus obtaining three degenerated twonode W states, then we find the nonzero submatrix of the corresponding covariance correlation tensor in quantum network theory. On the other side, excepting the linkage 41 corresponding to Bell bases, we conjecture that the another one possible oriented link(which is composed of two-component knots entangled with each other and has four crossings) would be the required knotted pictures of the two nodes W states, thence obtain the nonzero submatrix of the Alexander relation matrix in the theory of knot crystals for these knotted pictures. The equality of the two nonzero submatrices of different kinds thus verify the exactness of our conjecture. The superposition of three knotted pictures of two-node W states from different choices of the emptied node gives the knotted pictures of three-node W states, thus shows the correspondence between three-node W states in quantum network theory and the oriented links in knot theory. Finally we point out that there is an intimate and simple relationship between the knotted pictures of GHZ states and W states. 相似文献
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By means of the torus knot theory method, this paper presents the complete process of obtaining the knotted pictures of eight GHZ states on the surface of a trivial torus from the knotted pictures of eight basic three-qubit states on the surface of a trivial torus. Thus, we obtain eight knotted pictures 121 linkage on the ordinary plane. 相似文献
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By means of the method of torus knot theory, this paper presents the complete process of obtaining the knotted pictures of eight GHZ states on the surface of trivial torus from the knotted pictures of eight basic three-qubit states on the surface of trivial torus. Thus, we obtain eight knotted pictures 121 linkage on the ordinary plane. 相似文献
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对于在外加横向均匀磁场下,不可压缩、粘滞、导电液体流经椭圆截面管道的一维定常流动问题,本文第一次给出其解析解,文中假设流体在绝缘管壁上没有滑动。 相似文献
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By means of the method of torus knot theory, this paper gives the complete processes of obtaining the knotted pictures of four Bell bases from the knotted pictures of four basic two qubit states. 相似文献
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Knotted picture of the whole complete quantum measurement process of quantum teleportation 下载免费PDF全文
<正>Based on the previous work about the knotted pictures of quantum states,quantum logic gates and unitary transformations,this paper further gives the whole complete quantum measurement process of quantum teleportation from the viewpoint of knot theory. 相似文献
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