arXiv subjects

Jun Ichi Fujii

Publications and source records attributed to Jun Ichi Fujii.

2 recordsLinked to original sources

arXiv2012

Operator inequalities related to weak 2-positivity

In this paper we introduce the notion of weak 2-positivity and present some examples. We establish some operator Cauchy--Schwarz inequalities involving the geometric mean and give some applications. In particular, we present some operator versions of Hua's inequality by using the Choi--Davis--Jensen inequality.

math.FA↗

arXiv2005

Concavity of the auxiliary function appearing in quantum reliability function an classical-quantum channels

Concavity of the auxiliary function which appears in the random coding exponent as the lower bound of the quantum reliability function for general quantum states is proven for s between 0 and 1.

cs.IT↗