Minimal orthonormal bases for pure quantum state estimation
Quantum Physics
2024-02-14 v2
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 (IC-POVM) 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.
Cite
@article{arxiv.2305.08774,
title = {Minimal orthonormal bases for pure quantum state estimation},
author = {Leonardo Zambrano and Luciano Pereira and Aldo Delgado},
journal= {arXiv preprint arXiv:2305.08774},
year = {2024}
}