An uncertainty relation for measurements of random unitary channels acting on a qubit
Quantum Physics
2023-03-22 v1
Abstract
By preparing an input state and measuring an observable for the output state, we can measure a quantum channel. Following the formulation given by Xiao et al., we study an uncertainty relation for ancilla-free measurements of random unitary channels acting on a qubit. We obtain an explicit formula and give a necessary and sufficient condition for this formula to be nontrivial.
Cite
@article{arxiv.2205.10108,
title = {An uncertainty relation for measurements of random unitary channels acting on a qubit},
author = {Taihei Kimoto and Takayuki Miyadera},
journal= {arXiv preprint arXiv:2205.10108},
year = {2023}
}