For the simulated rank-1 qudit states, the Heisenberg-Weyl observable basis consistently needs fewer measurements than the generalized Gell-Mann basis as qudit dimension grows, while both give high-fidelity reconstruction.
By varyingNandkwhile keepingd=k N constant, we com- pare the relative advantages of different representations
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Compressed sensing quantum state tomography for qudits: A comparison of Gell-Mann and Heisenberg-Weyl observable bases
For the simulated rank-1 qudit states, the Heisenberg-Weyl observable basis consistently needs fewer measurements than the generalized Gell-Mann basis as qudit dimension grows, while both give high-fidelity reconstruction.