205 citations · 676 across the 36 of their papers we have counts for
3 papers · 1 filter
A quantum implementation of high-order power method for estimating geometric entanglement of pure states
Andrii Semenov, Niall Murphy, Simone Patscheider +2
Entanglement is one of the fundamental properties of a quantum state and is a crucial differentiator between classical and quantum computation. There are many ways to define entang…
Dimension of Tensor Network varieties
Alessandra Bernardi, Claudia De Lazzari, Fulvio Gesmundo
The tensor network variety is a variety of tensors associated to a graph and a set of positive integer weights on its edges, called bond dimensions. We determine an upper bound on…
Algebraic Geometry tools for the study of entanglement: an application to spin squeezed states
Alessandra Bernardi, Iacopo Carusotto
A short review of Algebraic Geometry tools for the decomposition of tensors and polynomials is given from the point of view of applications to quantum and atomic physics. Examples…