7 citations · 18 across the 11 of their papers we have counts for
11 papers
Deterministic Construction of RIP Matrices in Compressed Sensing from Constant Weight Codes
Liqing Xu, Hao Chen
The expicit restricted isometry property (RIP) measurement matrices are needed in practical application of compressed sensing in signal processing. RIP matrices from Reed-Solomon c…
Schmidt numbers of low rank bipartite mixed states
Hao Chen
We prove a lower bound for Schmidt numbers of bipartite mixed states. This lower bound can be applied easily to low rank bipartite mixed states. From this lower bound it is known t…
Constraints on the mixing of states on bipartite quantum systems
Hao Chen
We give necessary conditions for the mixing problem in bipartite case, which are independent of eigenvalues and based on algebraic-geometric invariants of the bipartite states. One…
Algebraic-geometric separability criterion and low rank mixed state entanglement
Hao Chen
We first propose a new separability criterion based on algebraic-geometric invariants of bipartite mixed states introduced in [1], then prove that for all low ranks r <m+n-2, gener…
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…