3 papers
math.FA2026
Fractional -positivity: a continuous refinement of the -positive scale
Mohsen Kian
We introduce a real-parameter refinement of the classical integer hierarchies underlying Schmidt number, block-positivity, and -positivity for maps between matrix algebras. Star…
quant-ph2026
A Hierarchy of Deviation from Complete Positivity and Optimal Entanglement Witnesses
Mohsen Kian
We introduce the \emph{CP-distance} to quantify the deviation of Hermitian linear maps from complete positivity, defined as the minimal depolarizing noise required to render a map…
quant-ph2025
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…