6 papers · 2 filters
Random low rank mixed states are highly entangled
Hao Chen
We prove that for many ranks r<2m-2, random rank r mixed states in bipartite mxm systems have relatively high Schmidt numbers, which is based on algebraic-geometric separability cr…
Quantum entanglement without eigenvalue spectra:multipartite case
Hao Chen
We introduce algebriac sets in the products of complex projective spaces for multipartite mixed states, which are independent of their eigenvalues and only measure the "position" o…
Schmidt number of pure states in bipartite quantum systems as an algebraic-geometric invariant
Hao Chen
Our previous work about algebraic-geometric invariants of the mixed states are extended and a stronger separability criterion is given. We also show that the Schmidt number of pure…
New Invariants and Separability Criterion of the Mixed States: Multipartite Case
Hao Chen
We introduce algebraic sets in the products of complex projective spaces for the mixed states in multipartite quantum systems as their invariants under local unitary operations. Th…
New Invariants and Separability criterion of the Mixed States: Bipartite Case
Hao Chen
We introduce algebraic sets in the complex projective spaces for the mixed states in bipartite quantum systems as their invariants under local unitary operations. The algebraic set…
Quantum entanglement without eigenvalue spectra
Hao Chen
From the consideration of measuring bipartite mixed states by separable pure states, we introduce algebraic sets in complex projective spaces for bipartite mixed states as the dege…