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中文摘要：
基于Bennett等提出的非纠缠的非局域性，提出了两个三态粒子的直积态正交集的性质，即用三个幺正变换能够实现不同的复合空间之间的转换，并且不同的复合空间之间具有关联性。这些性质可以被用于量子通讯和量子密码术。作为这些性质的应用，我们提出了一个量子密钥分配方案以及量子受控通讯的方案。由此说明，将三态粒子的直积态用于量子信息处理，不仅具有大容量、高效率的优点，而且能够保证安全性。
英文摘要：
On basis of the nonlocality without entanglement proposed by Bennett, the properties of an orthogonal set of product states of two qutrits are revealed, i.e., the transformation among different composite spaces can be realized by using three unitary operations, and the correlation between two composite spaces is found. These properties can be used to quantum communication and quantum cryptography. As examples, we propose a scheme of controlled quantum secure direct communication and one of quantum key distribution. It is shown that applying the product state of qutrit to quantum information processing not only is of the advantages of large capacity and high efficiency, but ensures the security.
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