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Finding the "dual" basis of an overcomplete basis for Quantum State Tomography

A general procedure to find the dual of any given frame $\{v_k\}_k$ is to compute the frame operator $S$, and then the (canonical) dual frame elements as $\tilde v_k\equiv S^{-1} v_k$. The dual frame ...
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Why can't we do pure state tomography using interference with a known reference state?

There are two caveats that make this task more difficult. First, measurement via an interference pattern is actually already a measurement with a continuous number of reference states, so people ...
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