Detecting quantum resources, especially in mixed quantum states, is a highly challenging task. Starting from the widely-used concept of resource witnesses, we propose a framework that systematically generate analytical and experimentally accessible criteria based on a single witness and a group of free unitaries.
Our construction applies to any convex resource theory with a compact subgroup of free unitaries, including coherence, entanglement, magic and fermionic non-Gaussianity. Within the framework, we some recovoer well-known resource-detection quantities and generate genuinely new criteria for mixed-state magic and fermionic non-Gaussianity.
This talk is based on our recent work //arxiv.org/abs/2606.27105.
