22 citations · 74 across the 40 of their papers we have counts for
42 papers
Three-Point Trace Positivity:Schatten Norm Compression and Interpolating Metrics
Trung Dung Vuong, Hiroyuki Osaka
Let be a finite tracial von Neumann algebra and set . We prove that $$ [\mathcal{K}_r(P_i,P_j)]_{i,j=1}^3\ge0, \qquad 1/…
Alternative-mean trace divergences: geometry, data processing, and barycenters
Trung Dung Vuong, Hiroki Shudo, Hiroyuki Osaka
Let be a nontrivial normalized operator monotone function and set . We introduce the alternative-mean trace functional $$ \altPhi_f(A,B) :=\Tr(…
Some applications of Choi polynomials of linear maps
Minh Toan Ho, Thanh Hieu Le, Cong Trinh Le +1
This paper investigates the properties of Choi polynomials and their fundamental role in the theory of positive linear maps between matrix algebras. By focusing on Hermitian symmet…
Optimizing Entanglement Manipulation via Algebraic-Geometric Decompositions and Semidefinite Programming Hierarchies
Seiseki Akibue, Jisho Miyazaki, Hiroyuki Osaka
In the study of distributed quantum information processing, it is a fundamental problem to optimize local operations in the implementation of non-local quantum operations assisted…
Limit of iteration of the induced Aluthge transformations of centered operators
Hiroyuki Osaka, Takeaki Yamazaki
Aluthge transform is a well-known mapping defined on bounded linear operators. Especially, the convergence property of its iteration has been studied by many authors. In this paper…
Rokhkin inclusions with integer and non-integer index
H. Lee, H. Osaka, T. Teruya
We construct new examples of inclusions of unital $C\sp*$-algebras of index-finite type with the Rokhlin property motivated by a broader attempt to understand the range of such inc…