Minimal orthonormal bases for pure quantum state estimation
- URL: http://arxiv.org/abs/2305.08774v2
- Date: Fri, 26 Jan 2024 18:08:25 GMT
- Title: Minimal orthonormal bases for pure quantum state estimation
- Authors: Leonardo Zambrano, Luciano Pereira, Aldo Delgado
- Abstract summary: We present an analytical method to estimate pure quantum states using a minimum of three measurement bases in any finite-dimensional Hilbert space.
We demonstrate our method using a binary tree structure, providing an algorithmic path for implementation.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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.
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