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Minimal orthonormal bases for pure quantum state estimation
- Source :
- Quantum 8, 1244 (2024)
- Publication Year :
- 2023
-
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.
- Subjects :
- Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Quantum 8, 1244 (2024)
- Publication Type :
- Report
- Accession number :
- edsarx.2305.08774
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.22331/q-2024-02-08-1244