102 citations · 498 across the 36 of their papers we have counts for
4 papers · 1 filter
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…
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…
On the comparison of volumes of quantum states
Deping Ye
This paper aims to study the $\a$-volume of $\cK$, an arbitrary subset of the set of density matrices. The $\a$-volume is a generalization of the Hilbert-Schmidt volume…
On the Bures Volume of Separable Quantum States
Deping Ye
We obtain two sided estimates for the Bures volume of an arbitrary subset of the set of density matrices, in terms of the Hilbert-Schmidt volume of that subset. For gen…