Redheffer: Trig to Quantum Error Bounds
Quantum Physics
2023-10-23 v1
Abstract
In the existing literature, the Redheffer inequality is typically proven using mathematical induction. In this short paper, we present a straightforward proof of this inequality by leveraging trigonometric substitution. We then extend the Redheffer inequality by introducing an exponent factor, aiming for the sharpest possible refinement. Notably, when the exponent is 2, our findings have implications for quantum error correction in the context of quantum phase estimation.
Cite
@article{arxiv.2310.12993,
title = {Redheffer: Trig to Quantum Error Bounds},
author = {Ho Yun},
journal= {arXiv preprint arXiv:2310.12993},
year = {2023}
}