75 citations · 508 across the 29 of their papers we have counts for
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quant-ph2011★ 29 cited
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…
quant-ph2011★ 49 cited
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…