Optimal Universal Quantum Encoding for Statistical Inference

arXiv:2404.08172v1 Announce Type: cross
Abstract: Optimal encoding of classical data for statistical inference using quantum computing is investigated. A universal encoder is sought that is optimal for a wide array of statistical inference tasks. Accuracy of any statistical inference is shown to be upper bounded by a term that is proportional to maximal quantum leakage from the classical data, i.e., the input to the inference model, through its quantum encoding. This demonstrates that the maximal quantum leakage is a universal …

abstract accuracy array arxiv computing cs.lg data eess.sp encoder encoding inference math.st quant-ph quantum quantum computing statistical stat.th tasks type universal