Tensors, as geometric objects that describe linear or multi-linear relations between
geometric vectors, scalars, and other tensors, have provided a concise mathematical …

Quantum information theory is a branch of science at the frontier of physics, mathematics,
and information science, and offers a variety of solutions that are impossible using classical …

We explore the possibility of efficient classical simulation of linear optics experiments under
the effect of particle losses. Specifically, we investigate the canonical boson sampling …

The striking differences between quantum and classical systems predicate disruptive
quantum technologies. We peruse quantumness from a variety of viewpoints, concentrating …

The geometric measure of entanglement is investigated for permutation symmetric pure
states of multipartite qubit systems, in particular the question of maximum entanglement …

We propose a detailed study of the geometric entanglement properties of pure symmetric N-
qubit states, focusing more particularly on the identification of symmetric states with a high …

This is a survey paper on the recent development of the spectral theory of nonnegative
tensors and its applications. After a brief review of the basic definitions on tensors, the H …

As early as 1932, Majorana had proposed that a pure permutation symmetric state of N spin-
1 2 particles can be represented by N spinors, which correspond geometrically to N points …

Finding the closest separable state to a given target state is a notoriously difficult task, even
more difficult than deciding whether a state is entangled or separable. To tackle this task, we …

Entanglement theory is formulated as a quantum resource theory in which the free
operations are local operations and classical communication (LOCC). This defines a partial …