Authors: Zambrano, Leonardo; Pereira, Luciano; Delgado, Aldo

Journal: QUANTUM

Publication date: 2024/02/08

DOI:

Abstract: We present an analytical method to estimate pure quantum states using a minimum of three measurement bases in any finite -dimensional Hilbert space. This is optimal as two bases are insufficient to construct an informationally complete positive operator -valued measurement (ICPOVM) for pure states. We demonstrate our method using a binary tree structure, providing an algorithmic path for implementation. The performance of the method is evaluated through numerical simulations, showcasing its effectiveness for quantum state estimation.