Several mathematical problems in quantum information theory
FENG KeQin, Lingfei Jin · Scientia Sinica Mathematica · 2017
The theory of quantum communication and technology have been one of hot research topics in information science and technology since 1980's. In this paper, we survey some research development of several mathematical problems in quantum information theory. Particularly, we focus on the important role of combinatorics (including graph theory), number theory, algebra and algebraic geometry (the arithmetic theory of algebraic curves over finite field) in investigating quantum measurement and quantum error-correction.