A nonlinear-equation framework that claims full amplitude reconstruction from single-qubit measurements fails because single-qubit marginals contain too little information to identify a multi-qubit state.
This means that the right-hand side of the above linear system is erroneous
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A Framework For Estimating Amplitudes of Quantum State With Single-Qubit Measurement
A nonlinear-equation framework that claims full amplitude reconstruction from single-qubit measurements fails because single-qubit marginals contain too little information to identify a multi-qubit state.