Contraction of Private Quantum Channels and Private Quantum Hypothesis Testing

arXiv:2406.18651v1 Announce Type: cross
Abstract: A quantum generalized divergence by definition satisfies the data-processing inequality; as such, the relative decrease in such a divergence under the action of a quantum channel is at most one. This relative decrease is formally known as the contraction coefficient of the channel and the divergence. Interestingly, there exist combinations of channels and divergences for which the contraction coefficient is strictly less than one. Furthermore, understanding the contraction coefficient is fundamental for the study of …

action arxiv channel cs.cr cs.it cs.lg data definition math.it private quant-ph quantum relative stat.ml testing under