Results 61 to 70 of about 136 (125)

Efficient Unitary Designs with a System-Size Independent Number of Non-Clifford Gates. [PDF]

Commun Math Phys, 2023
Haferkamp J, Montealegre-Mora F, Heinrich M, Eisert J, Gross D, Roth I.   +5 more
europepmc   +1 more source

A matrix inequality for unitarily invariant norms

Journal of Mathematical Inequalities, 2022
Xin Jin, F ng Zhang, Ji li Xu
openaire   +1 more source

Quantifying Decoherence via Increases in Classicality. [PDF]

Entropy (Basel), 2021
Fu S, Luo S.
europepmc   +1 more source

Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain. [PDF]

Arch Ration Mech Anal, 2023
Choi B, McCann RJ, Seis C.
europepmc   +1 more source

Isospectral Twirling and Quantum Chaos. [PDF]

Entropy (Basel), 2021
Leone L, Oliviero SFE, Hamma A.
europepmc   +1 more source

Environment-Assisted Shortcuts to Adiabaticity. [PDF]

Entropy (Basel), 2021
Touil A, Deffner S.
europepmc   +1 more source

Unitarily invariant norm inequalities involving $G_1$ operators

, 2018
To appear in Commun.
openaire   +3 more sources

Matrix semigroups determined by unitarily invariant norms

Linear Algebra and its Applications, 1974
AbstractThe purpose of this paper is to study the structure of the matrix semigroups defined by unitarily invariant norms and, equivalently, those defined by arbitrary ellipsoidal norms. Among other things it is found that when an element of such a semigroup has a semi-inverse, the semi-inverse is unique, and, in the case of unitarily invariant norms ...
openaire   +2 more sources

On weakly unitarily invariant norm and the Aluthge transformation

Linear Algebra and its Applications, 2003
The main result: \(|||f(P^\lambda UP^{1-\lambda})|||\leq \max\{|||f(T)|||, |||U^* f(T)U+ f(0)(I- U^* U)|||\}\), where \(T\in B(H)\) is a bounded linear operator on a Hilbert space \(H\), \(f\) is a polynomial, and \(|||\cdot|||\) is a seminorm on \(H\) which satisfies the following two conditions: a) \(\exists\gamma> 0\) such that \(|||X|||\leq \gamma\|
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Several unitarily invariant norm inequalities for matrices

Annals of Functional Analysis
This paper presents new inequalities involving unitarily invariant norms of matrices, extending classical results such as the Cauchy-Schwarz and arithmetic-geometric mean inequalities in the matrix setting. The authors build upon and generalize recent work by \textit{K. M. R. Audenaert} [Oper. Matrices 9, No.
Yang, Junjian, Ma, Shengyan
openaire   +2 more sources