Measurements on composite qudits

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• 作者：Tomasz Paterek
• 关键词：Qudit ; Generalized Pauli operators ; Quantum cryptography ; Quantum tomography
• 刊名：Physics Letters A
• 出版年：2007
• 期刊代码：57_03759601
• 类别：ph
• 出版时间：16 July 2007
• 卷：367
• 期：1-2
• 页码：57-64
• 文件大小：238 K

摘要

We study measurements of the unitary generalization of Pauli operators. First, an analytical (constructive) solution to the eigenproblem of these operators is presented. Next, in the case of two subsystems, the Schmidt form of the eigenvectors is derived to identify measurements which are easy to implement. These results are utilized to show that quantum cryptography with two bases, when operating on a two-component qudit, can be realized with measurements on individual subsystems, assisted with classical communication. We also discuss feasible devices which perform tomography of polarization-path qudits.