Zobrazeno 1 - 10
of 198
pro vyhledávání: '"OSAKA, HIROYUKI"'
Autor:
Osaka, Hiroyuki, Yamazaki, Takeaki
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, we discuss the problem for the induced Aluthge transforms which is a
Externí odkaz:
http://arxiv.org/abs/2409.03338
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) - \mathrm{tr}|A-B|\leq 2\, \mathrm{tr}\big(f(A)g(B)\big) \end{align*} holds fo
Externí odkaz:
http://arxiv.org/abs/2302.07818
We give a formula for the stable rank of inclusions of unital Banach algebras in the sense of finite Watatani index. As an application we show that the stable rank of $\ell^1$-algebras of Disk algebras by any action of finite groups is 2.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/2109.09867
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 associated completely positive map. Combining this with the result given
Externí odkaz:
http://arxiv.org/abs/2104.14058
Publikováno v:
In Linear Algebra and Its Applications 1 December 2023 678:206-226
Let $\sigma$ be a non-trivial operator mean in the sense of Kubo and Ando, and let $OM_+^1$ the set of normalized positive operator monotone functions on $(0, \infty)$. In this paper, we study class of $\sigma$-subpreserving functions $f\in OM_+^1$ s
Externí odkaz:
http://arxiv.org/abs/1912.10378
Autor:
Bhat, B. V. Rajarma, Osaka, Hiroyuki
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 positivity of linear maps on matrix algebras to decomposability of their a
Externí odkaz:
http://arxiv.org/abs/1912.02381
Publikováno v:
Linear Algebra and its Applications in 2020
We determine sufficient conditions for certain classes of $(n+k) \times n$ matrices $E$ to have all order-$n$ minors to be nonzero. For a special class of $(n+1) \times n$ matrices $E,$ we give the formula for the order-$n$ minors. As an application
Externí odkaz:
http://arxiv.org/abs/1906.10537
Autor:
Lee, Hyun Ho, Osaka, Hiroyuki
We study a pair of $C^*$-algebras by associating a $*$-homomorphism from $A$ to $B$ allowing an approximate left-inverse to the sequence algebra of $A$ in a manner reminiscent of several tracial approximation properties. We are particularly intereste
Externí odkaz:
http://arxiv.org/abs/1906.06950
Publikováno v:
Physics Letters A, Volume 383, Issue 33, 28 November 2019, 125973; https://doi.org/10.1016/j.physleta.2019.125973
The geometric discord $\mathcal{D}$ of a state is a measure of the quantumness of the state and the negativity $\mathcal{N}$ is a measure of the entanglement of a state. It was proved by D. Girolami and G. Adesso that for states on $\mathbb{C}^2\otim
Externí odkaz:
http://arxiv.org/abs/1812.11156