Abstract
We extend the entropic uncertainty principle from quantum measurements to quantum channels. This is obtained via a generalized strong subadditivity (SSA) of quantum entropy. Motivated by Petz’s algebraic SSA inequality, we also obtain a generalized strong subadditivity of quantum relative entropy. The English version of this article is available at arXiv:2301.08402.
| Translated title of the contribution | Entropic uncertainty relation and strong subadditvity of quantum channels |
|---|---|
| Original language | Chinese (Traditional) |
| Pages (from-to) | 1631-1652 |
| Number of pages | 22 |
| Journal | Scientia Sinica Mathematica |
| Volume | 53 |
| Issue number | 12 |
| DOIs | |
| State | Published - 2023 |
Keywords
- noncommutative Lp-space
- quantum channel
- strong subadditivity
- uncertainty principle
ASJC Scopus subject areas
- General Mathematics