The von Neumann, Tsallis, and R\'enyi entropies are fundamental measures of quantum information. A common estimation strategy multiplies the worst-case costs of spectral transformation and statistical readout, leaving gaps to query lower bounds. We reduce this overhead with multi-level algorithms that use local normali...
Jun-Xiang Huang, Chen-Yang Li, Lu-Fan Zhang et al.· 0 citations
The execution of useful quantum algorithms on fault-tolerant processors requires more than a mapping from logical gates to encoded operations: the spatial organization, non-Clifford resource supply, and execution schedule must also be determined while keeping physical overhead within practical limits. Although the theo...
Yun-Xin Tang, Zi-Xuan Huo, Jun-Xiang Huang et al.· 0 citations
A scalable fault-tolerant framework that combines coherent observable estimation with a space-time-efficient implementation of non-Clifford rotations is introduced, suppressing the residual logical errors that limit existing partially fault-tolerant approaches.
Jinzhao Sun, Bozhen Zhou, Jue Xu et al.· 4 citations
Multipartite Bell tests provide a correlation-only route to benchmarking quantum processors, but their application at large scales is hindered by the rapid decay of many-body correlators under noise and exponentially many terms in conventional Bell expressions. Here we address these scalability obstacles by introducing...
Jianbin Cai, Jun-Xiang Huang, F. Otto et al.· 0 citations
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