Entangled subspaces and generic local state discrimination with pre-shared entanglement

B Lovitz, N Johnston - Quantum, 2022 - quantum-journal.org
Walgate and Scott have determined the maximum number of generic pure quantum states
that can be unambiguously discriminated by an LOCC measurement [Journal of Physics A …

Positive maps and trace polynomials from the symmetric group

F Huber - Journal of Mathematical Physics, 2021 - pubs.aip.org
With techniques borrowed from quantum information theory, we develop a method to
systematically obtain operator inequalities and identities in several matrix variables. These …

[HTML][HTML] Construction of genuinely entangled multipartite subspaces from bipartite ones by reducing the total number of separated parties

KV Antipin - Physics Letters A, 2022 - Elsevier
Construction of genuinely entangled multipartite subspaces with certain characteristics has
become a relevant task in various branches of quantum information. Here we show that such …

On generating r-uniform subspaces with the isometric mapping method

KV Antipin - Modern Physics Letters A, 2024 - World Scientific
In this paper, we propose a compositional approach to construct subspaces consisting
entirely of r-uniform states, ie states with each reduction to r subsystems being maximally …

Tensors: Entanglement, Geometry, and Combinatorics

B Lovitz - 2022 - uwspace.uwaterloo.ca
In this thesis, we use algebraic-geometric and combinatorial techniques to study tensor
decompositions, with applications in quantum information theory, algebraic complexity …

Tensor products of entangled subspaces and their properties from diagrammatic constructions

K Antipin - Available at SSRN 4022987, 2022 - papers.ssrn.com
Construction of genuinely entangled multipartite subspaces with certain characteristics has
become a relevant task in various branches of quantum information. Here we show that such …

[HTML][HTML] How good is a positive map at detecting quantum entanglement?

I Nechita - Quantum Views, 2019 - quantum-journal.org
Since the dawn of quantum mechanics, entanglement has been a central notion of the
theory [18], a very important body of work being dedicated to understanding, classifying …