10 citations · 29 across the 11 of their papers we have counts for
13 papers
A reduction of the separability problem to SPC states in the filter normal form
Daniel Cariello
It was recently suggested that a solution to the separability problem for states that remain positive under partial transpose composed with realignment (the so-called symmetric wit…
A triality pattern in entanglement theory
Daniel Cariello
In this work, we present new connections between three types of quantum states: positive under partial transpose states, symmetric with positive coefficients states and invariant u…
Schmidt rank constraints in Quantum Information Theory
Daniel Cariello
Can vectors with low Schmidt rank form mutually unbiased bases? Can vectors with high Schmidt rank form positive under partial transpose states? In this work, we address these ques…
Inequalities for the Schmidt Number of Bipartite States
Daniel Cariello
In this short note we show two completely opposite methods of constructing entangled states. Given a bipartite state , define , $γ_A=(Id-F)γ…
Sinkhorn-Knopp Theorem for PPT states
Daniel Cariello
Given a PPT state and a vector with tensor rank , we provide an algorithm th…
A gap for PPT entanglement
Daniel Cariello
Let be a finite dimensional vector space over a field with characteristic not equal to 2. Denote by and the subspaces of symmetric and skew…
Sinkhorn-Knopp theorem for rectangular positive maps
Daniel Cariello
In this work, we adapt Sinkhorn-Knopp theorem for rectangular positive maps . We extend their concepts of support and total support to these maps. We show t…
Completely Reducible maps in Quantum Information Theory
Daniel Cariello
In order to compute the Schmidt decomposition of , we must consider an associated self-adjoint map. Here, we show that if is positive under partial transpo…
Does Symmetry Imply PPT Property?
Daniel Cariello
Recently, in [1], the author proved that many results that are true for PPT matrices also hold for another class of matrices with a certain symmetry in their Hermitian Schmidt deco…
Separability for Weak Irreducible matrices
Daniel Cariello
This paper is devoted to the study of the separability problem in the field of Quantum information theory. We deal mainly with the bipartite finite dimensional case and with two ty…
Basic sequences and spaceability in spaces
Daniel Cariello, Juan B. Seoane-Sepúlveda
Let be a sequence space and denote by the subset of formed by sequences having only a finite number of zero coordinates. We study algebraic properties of and…
On very non-linear subsets of continuous functions
G. Botelho, D. Cariello, V. V. Fávaro +2
In this paper we continue the study initiated by Gurariy and Quarta in 2004 on the existence of linear spaces formed, up to the null vector, by continuous functions that attain the…
Maximal spaceability in topological vector spaces
Geraldo Botelho, Daniel Cariello, Vinícius Fávaro +1
In this paper we introduce a new technique to prove the existence of closed subspaces of maximal dimension inside sets of topological vector sequence spaces. The results we prove c…