Bounds for A-numerical radius based on an extension of A-Buzano inequality

F Kittaneh, A Zamani - Journal of Computational and Applied Mathematics, 2023 - Elsevier
Let A be the 2× 2 diagonal operator matrix determined by a positive bounded linear operator
A on a Hilbert space. In this paper, we give several upper bounds for the A-numerical radii of …

Bounds for the p‐Numerical Radius Through Singular Values

F Kittaneh, HR Moradi… - Mathematical Methods in …, 2025 - Wiley Online Library
In this paper, we prove some bounds for the pp‐numerical radius as natural extensions of
certain known bounds for the numerical radius. This complements many recent studies in …

Hilbert-Schmidt Numerical Radius of a Pair of Operators

S Aici, A Frakis, F Kittaneh - Acta Applicandae Mathematicae, 2023 - Springer
We introduce a new norm on C 2× C 2, where C 2 is the Hilbert-Schmidt class. We study
basic properties of this norm and prove inequalities involving it. As an application of the …

Global Estimates of Errors in Quantum Computation by the Feynman–Vernon Formalism

E Aurell - Journal of Statistical Physics, 2018 - Springer
The operation of a quantum computer is considered as a general quantum operation on a
mixed state on many qubits followed by a measurement. The general quantum operation is …

The Minimum Distance of PPT Bound Entangled States from the Maximally Mixed State

S Banerjee, AA Patel, PK Panigrahi - arXiv preprint arXiv:1708.03885, 2017 - arxiv.org
Using a geometric measure of entanglement quantification based on Euclidean distance of
the Hermitian matrices, we obtain the minimum distance between a bipartite bound …