22 citations · 74 across the 40 of their papers we have counts for
7 papers · 1 filter
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…
A new estimation of the quantum Chernoff bound
Mohsen Kian, Trung Hoa Dinh, Mohammad Sal Moslehian +1
Relating to finding possible upper bounds for the probability of error for discriminating between two quantum states, it is well-known that \begin{align*} \mathrm{tr}(A+B) - \mathr…
Characterization of -positive maps
Marcin Marciniak, Tomasz Młynik, Hiroyuki Osaka
We present a general characterization of k-positivity for a positive map in terms of the estimation of the Ky Fan norm of the matrix constructed from the Kraus operators of the ass…
A factorization property of positive maps on -algebras
B. V. Rajarma Bhat, Hiroyuki Osaka
The purpose of this short note is to clarify and present a general version of an interesting observation by Piani and Mora (Physic. Rev. A 75, 012305 (2007)), linking complete posi…
Comparing Geometric Discord and Negativity for Bipartite States
Priyabrata Bag, Santanu Dey, Hiroyuki Osaka
The geometric discord of a state is a measure of the quantumness of the state and the negativity is a measure of the entanglement of a state. It was pro…