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 …

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 …

Genuine entanglement is the strongest form of multipartite entanglement. Genuinely
entangled pure states contain entanglement in every bipartition and as such can be …

We put forward a simple construction of genuinely entangled subspaces–subspaces
supporting only genuinely multipartite entangled states–of any permissible dimensionality …

Unextendible product bases (UPBs) provide a versatile tool with various applications across
different areas of quantum information theory. Their comprehensive characterization is thus …

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 …

Construction of completely entangled subspaces (CES) has gained a considerable
attention, recently. These subspaces which contain only entangled states are of great …

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 …

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 multipartite subspaces with certain characteristics has
become a relevant task in various branches of quantum information. Here we show that such …