Measurements on Composite Qudits

Details Measurements on Composite Qudits Measurements on Composite Qudits

2006-07-10

arxiv.org/abs/quant-ph/0607062v2

Phys. Lett. A 367, 57 (2007)

Physics

Quantum Physics

10 pages, 2 figures. Published version

Scientific paper

10.1016/j.physleta.2007.05.082

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 polarisation-path qudits.

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