21 citations · 27 across the 6 of their papers we have counts for
6 papers
The positive partial transpose conjecture for n=3
Lin Chen, Yu Yang, Waishing Tang
We present the PPT square conjecture introduced by M. Christandl. We prove the conjecture in the case as a consequence of the fact that two-qutrit PPT states have Schmidt at…
Schmidt number of bipartite and multipartite states under local projections
Lin Chen, Yu Yang, Wai-shing Tang
The Schmidt number is a fundamental parameter characterizing the properties of quantum states, and the local projections are a fundamental operation in quantum physics. We investig…
All 2-positive linear maps from M3 to M3 are decomposable
Yu Yang, Denny H. Leung, Waishing Tang
Following an idea of Choi, we obtain a decomposition theorem for k-positive linear maps from Mm to Mn, where 2<=k<min{m,n}. As a consequence, we give an affirmative answer to Kye's…
Nonlinear frames and sparse reconstructions in Banach spaces
Qiyu Sun, Wai-Shing Tang
In the first part of this paper, we consider nonlinear extension of frame theory by introducing bi-Lipschitz maps between Banach spaces. Our linear model of bi-Lipschitz maps i…
Robertson-type Theorems for Countable Groups of Unitary Operators
David R. Larson, Wai Shing Tang, Eric Weber
Let be a countably infinite group of unitary operators on a complex separable Hilbert space . Let and be finite…
Geometric Aspects of Frame Representations of Abelian Groups
Akram Aldroubi, David Larson, Wai-Shing Tang +1
We consider frames arising from the action of a unitary representation of a discrete countable abelian group. We show that the range of the analysis operator can be determined by c…