Lower dimensional sections of qutrit state space using 3-dimensional vectors

Presenting Author: Vinod Mishra, US Army Research Laboratory

The qutrit having three internal states comes next in complexity after qubit as a resource for quantum information processing. A qutrit state density matrix is of order 3 and depends on 8 parameters. Whereas the qubit density matrix can be easily visualized using Bloch sphere representation of its states, at the same time this simplicity is unavailable for the 8-dimensional state space of a qutrit. Earlier work tried to capture the complexity of the Qutrit State Space (QtSS) by studying its 2 and 3 dimensional sections. Recently an alternative approach to study the QtSS using 3 dimensional vectors has become available. In this work we use them to study 2, 3, and other higher order sections.

Read this article online: https://arxiv.org/abs/1611.02701

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