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pro vyhledávání: '"Cariello, Daniel"'
Autor:
Cariello, Daniel
The complete reducibility property for bipartite states reduced the separability problem to a proper subset of positive under partial transpose states and was used to prove several theorems inside and outside entanglement theory. So far only three ty
Externí odkaz:
http://arxiv.org/abs/2403.05449
Autor:
Cariello, Daniel
Publikováno v:
Quantum Information & Computation, 24 (2024), No.1-2, 0057-0070
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 with positive coefficients states or simply SPC states) could shed light
Externí odkaz:
http://arxiv.org/abs/2306.17803
Autor:
Cariello, Daniel
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 under realignment states. First, we obtain a common upper bound for the
Externí odkaz:
http://arxiv.org/abs/2201.11083
Autor:
Cariello, Daniel
Publikováno v:
Lett Math Phys 111, 86 (2021)
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 questions by presenting several new results related to Schmidt rank constr
Externí odkaz:
http://arxiv.org/abs/2004.04226
Autor:
Cariello, Daniel
Publikováno v:
Letters in Mathematical Physics (2019)
In this short note we show two completely opposite methods of constructing entangled states. Given a bipartite state $\gamma\in M_k\otimes M_k$, define $\gamma_S=(Id+F)\gamma (Id+F)$, $\gamma_A=(Id-F)\gamma(Id-F)$, where $F\in M_k\otimes M_k$ is the
Externí odkaz:
http://arxiv.org/abs/1902.11069
Autor:
Cariello, Daniel
Publikováno v:
Letters in Mathematical Physics (2019)
Given a PPT state $A=\sum_{i=1}^nA_i\otimes B_i \in M_k\otimes M_k$ and a vector $v\in\Im(A)\subset\mathbb{C}^k\otimes\mathbb{C}^k$ with tensor rank $k$, we provide an algorithm that checks whether the positive map $G_A:M_k\rightarrow M_k$, $G_A(X)=\
Externí odkaz:
http://arxiv.org/abs/1807.06955
Autor:
Cariello, Daniel
Publikováno v:
Linear Algebra and its Applications, 529 (2017), 89-114
Let $W$ be a finite dimensional vector space over a field with characteristic not equal to 2. Denote by $\text{Sym}(V)$ and $\text{Skew-Sym}(V)$ the subspaces of symmetric and skew-symmetric tensors of a subspace $V$ of $W\otimes W$, respectively. In
Externí odkaz:
http://arxiv.org/abs/1609.07079
Autor:
Cariello, Daniel
In this work, we adapt Sinkhorn-Knopp theorem for rectangular positive maps $(T:M_k\rightarrow M_m)$. We extend their concepts of support and total support to these maps. We show that a positive map $T:M_k\rightarrow M_m$ is equivalent to a doubly st
Externí odkaz:
http://arxiv.org/abs/1609.07083
Autor:
Cariello, Daniel
Publikováno v:
Repositório Institucional da UnicampUniversidade Estadual de CampinasUNICAMP.
Orientador: Dessislava Hristo Kochloukova
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica
Made available in DSpace on 2018-08-11T16:37:34Z (GMT). No. of bitstreams
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica
Made available in DSpace on 2018-08-11T16:37:34Z (GMT). No. of bitstreams
Externí odkaz:
http://repositorio.unicamp.br/jspui/handle/REPOSIP/306917
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