INEQUALITIES OF OPERATOR VALUED QUANTUM SKEW INFORMATION

Chul Ki Ko, Hyun Jae Yoo

Koenraad M. R. Audenaert, Liang Cai, Frank Hansen

Paolo Albini, Ernesto De Vito, Alessandro Toigo

We define a positive operator valued measure E on [0, 2π] × R describing the measurement of randomly sampled quadratures in quantum homodyne tomography, and we study its probabilistic properties.Moreover, we give a mathematical analysis of the relation between the description of a state in terms of E and the description provided by its Wigner transform.

Liang Cai, Frank Hansen

HUARONG WANG

We complement some properties on operator inequality related to Schur product. Then we discuss the inequalities around the matrix weighted geometric mean, and giveΦ(B]tA) ≤ Φ(B)]tΦ(A);for any positive and unital linear map Φ. Further, if mI ≤ A; B ≤ MI, thenΦ(A]tB) ≥ 4mM(M + m)2 Φ(A)]tΦ(B):

Shuangshuang Fu, Yuan Sun, Shunlong Luo