Scalable estimation of pure multi-qubit states

Understand

We introduce an inductive $n$-qubit pure-state estimation method.

• This is based on projective measurements on states of $2n+1$ separable bases or $2$ entangled bases plus the computational basis.
• Thus, the total number of measurement bases scales as $O(n)$ and $O(1)$, respectively.
• Thereby, the proposed method exhibits a very favorable scaling in the number of qubits when compared to other estimation methods.