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7 papers
Entanglement in the Dicke subspace
Aabhas Gulati, Ion Nechita, Clément Pellegrini
We provide a complete mathematical theory for the entanglement of mixtures of Dicke states. These quantum states form an important subclass of bosonic states arising in the study o…
Entanglement in cyclic sign invariant quantum states
Aabhas Gulati, Ion Nechita, Satvik Singh
We introduce and study bipartite quantum states that are invariant under the local action of the cyclic sign group. Due to symmetry, these states are sparse and can be parameterize…
Positive maps and extendibility hierarchies from copositive matrices
Aabhas Gulati, Ion Nechita, Sang-Jun Park
This work introduces and systematically studies a new convex cone of PCOP (pairwise copositive). We establish that this cone is dual to the cone of PCP (pairwise completely positiv…
Canonical partial ordering from min-cuts and quantum entanglement in random tensor networks
Miao Hu, Ion Nechita
The \emph{max-flow min-cut theorem} has been recently used in the theory of random tensor networks in quantum information theory, where it is helpful for computing the behavior of…
Tensor free probability theory: asymptotic tensor freeness and central limit theorem
Ion Nechita, Sang-Jun Park
Voiculescu's notion of asymptotic free independence applies to a wide range of random matrices, including those that are independent and unitarily invariant. In this work, we gener…
A Max-Flow approach to Random Tensor Networks
Khurshed Fitter, Faedi Loulidi, Ion Nechita
We study the entanglement entropy of a random tensor network (RTN) using tools from free probability theory. Random tensor networks are simple toy models that help the understandin…