Majorana Star and Invariant Vector Representations of a Single Qutrit

Report No. ARL-TR-8718
Authors: Vinod K Mishra
Date/Pages: June 2019; 14 pages
Abstract: The Qutrit state density matrix is of order 3 and depends on eight parameters in the most general case. Visualization of this 8-D state space is practically impossible using 8-D vectors commonly used. Recently, a 3-D vector representation of the Qutrit state space (also called invariant vector representation [IVR]) was proposed. In this report, we present the general relationship between the Majorana star representation and IVR for the qutrit and illustrate the differences using the qutrit cascade or Ξ - model.
Distribution: Approved for public release
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Last Update / Reviewed: June 1, 2019