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20242026
most citedEntanglement in the Dicke subspace

1 citations · 1 across the 7 of their papers we have counts for

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quant-ph2026

Optimal entanglement criteria from trace invariants

Bivas Mallick, Aabhas Gulati, Ion Nechita

Randomized measurement protocols give experimental access to low-degree polynomial invariants of a quantum state rather than to the state itself, which raises the question of what…

quant-ph2026★ 1 cited

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…

quant-ph2025

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…

quant-ph2025

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…

quant-ph2024

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…

quant-ph2024

On random classical marginal problems with applications to quantum information theory

Ankit Kumar Jha, Ion Nechita

In this paper, we study random instances of the classical marginal problem. We encode the problem in a graph, where the vertices have assigned fixed binary probability distribution…