Optimal detection of quantum states via projective measurements
Quantum Physics
2026-01-26 v1 Statistical Mechanics
Abstract
We consider the quantum dynamical evolution of a fully-connected quantum system subjected to random projective measurements and study the first detection time of an extended subspace of the Hilbert space. Exact analytical expressions are obtained for the mean first detection time and the full first detection probability distribution as functionals of the initial state and the measurement rate . Exact enumeration agrees perfectly with our analytical predictions.
Keywords
Cite
@article{arxiv.2509.08556,
title = {Optimal detection of quantum states via projective measurements},
author = {Giuseppe Del Vecchio Del Vecchio and Satya N. Majumdar},
journal= {arXiv preprint arXiv:2509.08556},
year = {2026}
}
Comments
43 pages, 5 figures