Rate reduction of blind quantum data compression with local approximations based on the unstable structure of quantum states

In this paper, we propose a new protocol for data compression task, blind quantum compression, with finite local approximations. The rate of is susceptible to approximations even when the are diminutive. This instability originates from sensitivity structure states against approximations, which makes analysis in presence intractable. constructed that takes advantage reduce substantially. Our shows significant reduction specific examples examined. Moreover, apply our methods diagonal states, and two types approximation special case. We perform numerical experiments observe one these performs significantly better than other. Thus, first step toward general investigation allowance towards further approximation-rate trade-off compression.