Local Numerical Range for a Class of 2 ⊗ d Hermitian Operators.

Autor: Jurkowski, J., Rutkowski, A., Chruściński, D.
Předmět:
Zdroj: Open Systems & Information Dynamics (OSID); Dec2010, Vol. 17 Issue 4, p347-359, 13p
Abstrakt: Local numerical range is analyzed for a family of circulant observables and states of composite 2 ⊗ d systems. It is shown that for any 2 ⊗ d circulant operator there exists a basis giving rise to the matrix representation with real nonnegative off-diagonal elements. In this basis the problem of finding the extremum of on product vectors |x〉 ⊗ |y〉 ϵ ℂ2 ⊗ ℂd reduces to the corresponding problem in ℝ2 ⊗ ℝd. The final analytical result for d = 2 is presented. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index