文摘
Let m,n≥2 be positive integers and let Hn be the set of n×n complex Hermitian matrices. We study linear maps ϕ:Hmn→Hmn satisfying det(A⊗B)=det(ϕ(A⊗B)) for all A∈Hm, B∈Hn. The connection of the problem to quantum information science is mentioned.