Approximating projections by quantum operations
Quantum Physics
2023-02-28 v2 Operator Algebras
Optimization and Control
Abstract
Using techniques from semidefinite programming, we study the problem of finding a closest quantum channel to the projection onto a matricial subsystem. We derive two invariants of matricial subsystems which are related to the quantum Lov\'asz theta function of Duan, Severini, and Winter.
Keywords
Cite
@article{arxiv.2203.02627,
title = {Approximating projections by quantum operations},
author = {Roy Araiza and Colton Griffin and Aneesh Khilnani and Thomas Sinclair},
journal= {arXiv preprint arXiv:2203.02627},
year = {2023}
}
Comments
Final version; minor changes