Optimal Second-Order Rates for Quantum Soft Covering and Privacy Amplification. (arXiv:2202.11590v1 [quant-ph])

We study quantum soft covering and privacy amplification against quantum side
information. The former task aims to approximate a quantum state by sampling
from a prior distribution and querying a quantum channel. The latter task aims
to extract uniform and independent randomness against quantum adversaries. For
both tasks, we use trace distance to measure the closeness between the
processed state and the ideal target state. We show that the minimal amount of
samples for achieving an $\varepsilon$-covering is given by …

amplification order privacy quantum second-order