We introduce algebraic sets in the complex linear spaces for the mixed states in bipartite quantum systems as their invariants under local operations. The algebraic set of the mixed state is the union of the linear subspaces if the mixed state is separable. Some examples are given and studied based on our criterio
We study entanglement in mixed bipartite quantum states which are invariant under simultaneous SU(2)...
1. The basic questions of entanglement theory the structure of entanglement (interesting for more-th...
We introduce a new family of separability criteria that are based on the existence of extensions of ...
We introduce algebraic set in the complex linear spaces for the mixed states in multipartite quantum...
We introduce algebraic sets in complex projective spaces for the mixed states in bipartite quantum s...
We introduce algebriac sets in the products of complex projective spaces for multipartite mixed stat...
Our previous work about algebraic-geometric invariants of the mixed states are extended and a strong...
We first propose a new separability criterion based on algebraic-geometric invariants of bipartite m...
We prove that random rank r<2m-2 mixed states in bipartite mxm systems are entangled based on algebr...
We introduce a family of separability criteria that are based on the existence of extensions of a bi...
Recently, a new and powerful separability criterion was introduced in [O. Rudolph, quant-ph/0202121]...
In this paper we present the necessary and sufficient conditions of separability for multipartite pu...
A state acting on Hilbert space {\cal H}_1\otimes{\cal H}_2 is called separable if it can be approxi...
We present novel local invariants of multi-partite pure or mixed states. Given a density operator of...
In quantum systems, entanglement corresponds to nonclassical correlation of nonlocal observables. Th...
We study entanglement in mixed bipartite quantum states which are invariant under simultaneous SU(2)...
1. The basic questions of entanglement theory the structure of entanglement (interesting for more-th...
We introduce a new family of separability criteria that are based on the existence of extensions of ...
We introduce algebraic set in the complex linear spaces for the mixed states in multipartite quantum...
We introduce algebraic sets in complex projective spaces for the mixed states in bipartite quantum s...
We introduce algebriac sets in the products of complex projective spaces for multipartite mixed stat...
Our previous work about algebraic-geometric invariants of the mixed states are extended and a strong...
We first propose a new separability criterion based on algebraic-geometric invariants of bipartite m...
We prove that random rank r<2m-2 mixed states in bipartite mxm systems are entangled based on algebr...
We introduce a family of separability criteria that are based on the existence of extensions of a bi...
Recently, a new and powerful separability criterion was introduced in [O. Rudolph, quant-ph/0202121]...
In this paper we present the necessary and sufficient conditions of separability for multipartite pu...
A state acting on Hilbert space {\cal H}_1\otimes{\cal H}_2 is called separable if it can be approxi...
We present novel local invariants of multi-partite pure or mixed states. Given a density operator of...
In quantum systems, entanglement corresponds to nonclassical correlation of nonlocal observables. Th...
We study entanglement in mixed bipartite quantum states which are invariant under simultaneous SU(2)...
1. The basic questions of entanglement theory the structure of entanglement (interesting for more-th...
We introduce a new family of separability criteria that are based on the existence of extensions of ...