102 citations · 498 across the 36 of their papers we have counts for
4 papers · 1 filter
Inequalities for general mixed affine surface areas
Deping Ye
Several general mixed affine surface areas are introduced. We prove some important properties, such as, affine invariance, for these general mixed affine surface areas. We also est…
Phase transitions for random states and a semi-circle law for the partial transpose
Guillaume Aubrun, Stanislaw J. Szarek, Deping Ye
For a system of N identical particles in a random pure state, there is a threshold k_0 = k_0(N) ~ N/5 such that two subsystems of k particles each typically share entanglement if k…
The absolute positive partial transpose property for random induced states
Benoit Collins, Ion Nechita, Deping Ye
In this paper, we first obtain an algebraic formula for the moments of a centered Wishart matrix, and apply it to obtain new convergence results in the large dimension limit when b…
Entanglement thresholds for random induced states
Guillaume Aubrun, Stanislaw J. Szarek, Deping Ye
For a random quantum state on obtained by partial tracing a random pure state on , we consider the whether it is typically separable or typically…