Add to ORKGA completely entangled subspace of a tensor product of Hilbert spaces is a subspace with no non-trivial product vector. K. R. Parthasarathy determined the maximum dimension possible for such a subspace. Here we present a simple explicit example of one such space. We determine the set of product vectors in its orthogonal complement and see that it spans whole of the orthogonal complement. This way we are able to determine the minimum dimension possible for an unextendible product basis (UPB) consisting of product vectors which are linearly independent but not necessarily mutually orthogonal
In this paper, we give the more general bound entangled states associated with the unextendible prod...
We construct some separable infinite-dimensional homogeneous Hilbertian operator spaces H∞m, R and H...
We consider a non-negative integer valued grading function on tensor products which aims to measure ...
Abstract. Let Hi be a finite dimensional complex Hilbert space of dimension di associated with a fin...
AbstractLet H(N) denote the tensor product of n finite dimensional Hilbert spaces H(r). A state ϕ of...
We put forward a simple construction of genuinely entangled subspaces -- subspaces supporting only g...
Let U, V be two vector spaces of dimensions n and m, respectively, over an algebraically closed fiel...
AbstractLet C denote the complex field. A vector v in the tensor product ⊗mi=1Cki is called a pure p...
In this paper we introduce and develop the notion of minimal subspaces in the framework of algebraic...
We report new results and generalizations of our work on unextendible product bases, uncompletable p...
A density operator (state) on a tensor product H ⊗ K of Hilbert spaces is separable if it is in the ...
Entanglement is defined for each vector subspace of the tensor product of two finite-dimensional Hil...
AbstractLet V be a norm closed subset of the unit sphere of a Hilbert space H that is stable under m...
A separable quantum state shared between parties $A$ and $B$ can be symmetrically extended to a quan...
Given a random subspace H_n chosen uniformly in a tensor product of Hilbert spaces V_n ⊗ W , we cons...
In this paper, we give the more general bound entangled states associated with the unextendible prod...
We construct some separable infinite-dimensional homogeneous Hilbertian operator spaces H∞m, R and H...
We consider a non-negative integer valued grading function on tensor products which aims to measure ...
Abstract. Let Hi be a finite dimensional complex Hilbert space of dimension di associated with a fin...
AbstractLet H(N) denote the tensor product of n finite dimensional Hilbert spaces H(r). A state ϕ of...
We put forward a simple construction of genuinely entangled subspaces -- subspaces supporting only g...
Let U, V be two vector spaces of dimensions n and m, respectively, over an algebraically closed fiel...
AbstractLet C denote the complex field. A vector v in the tensor product ⊗mi=1Cki is called a pure p...
In this paper we introduce and develop the notion of minimal subspaces in the framework of algebraic...
We report new results and generalizations of our work on unextendible product bases, uncompletable p...
A density operator (state) on a tensor product H ⊗ K of Hilbert spaces is separable if it is in the ...
Entanglement is defined for each vector subspace of the tensor product of two finite-dimensional Hil...
AbstractLet V be a norm closed subset of the unit sphere of a Hilbert space H that is stable under m...
A separable quantum state shared between parties $A$ and $B$ can be symmetrically extended to a quan...
Given a random subspace H_n chosen uniformly in a tensor product of Hilbert spaces V_n ⊗ W , we cons...
In this paper, we give the more general bound entangled states associated with the unextendible prod...
We construct some separable infinite-dimensional homogeneous Hilbertian operator spaces H∞m, R and H...
We consider a non-negative integer valued grading function on tensor products which aims to measure ...