Quantum codes of maximal distance and highly entangled subspaces

F Huber, M Grassl - Quantum, 2020 - quantum-journal.org
We present new bounds on the existence of general quantum maximum distance separable
codes (QMDS): the length $ n $ of all QMDS codes with local dimension $ D $ and distance …

Simple sufficient condition for subspace to be completely or genuinely entangled

M Demianowicz, G Rajchel-Mieldzioć… - New Journal of …, 2021 - iopscience.iop.org
We introduce a simple sufficient criterion, which allows one to tell whether a subspace of a
bipartite or multipartite Hilbert space is entangled. The main ingredient of our criterion is a …

Construction of genuinely entangled subspaces and the associated bounds on entanglement measures for mixed states

KV Antipin - Journal of Physics A: Mathematical and Theoretical, 2021 - iopscience.iop.org
Genuine entanglement is the strongest form of multipartite entanglement. Genuinely
entangled pure states contain entanglement in every bipartition and as such can be …

Universal construction of genuinely entangled subspaces of any size

M Demianowicz - Quantum, 2022 - quantum-journal.org
We put forward a simple construction of genuinely entangled subspaces–subspaces
supporting only genuinely multipartite entangled states–of any permissible dimensionality …

Negative result about the construction of genuinely entangled subspaces from unextendible product bases

M Demianowicz - Physical Review A, 2022 - APS
Unextendible product bases (UPBs) provide a versatile tool with various applications across
different areas of quantum information theory. Their comprehensive characterization is thus …

[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 …

Completely entangled subspaces from Moore-like matrices

M Nawareg - Physica Scripta, 2023 - iopscience.iop.org
Construction of completely entangled subspaces (CES) has gained a considerable
attention, recently. These subspaces which contain only entangled states are of great …

Fully non-positive-partial-transpose genuinely entangled subspaces

O Makuta, B Kuzaka, R Augusiak - Quantum, 2023 - quantum-journal.org
Genuinely entangled subspaces are a class of subspaces in the multipartite Hilbert spaces
that are composed of only genuinely entangled states. They are thus an interesting object of …

[PDF][PDF] Corrigendum: Simple sufficient condition for subspace to be

M Demianowicz, G Rajchel-Mieldzioc, R Augusiak - New J. Phys, 2021 - mostwiedzy.pl
We introduce a simple sufficient criterion, which allows one to tell whether a subspace of a
bipartite or multipartite Hilbert space is entangled. The main ingredient of our criterion is a …

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 …