Quantum complexity is emerging as a key property of many-body systems, including black holes, topological materials, and early quantum computers. A state's quantifies the number computational gates required to prepare state from simple tensor product. The greater distance maximal complexity, or ``uncomplexity,'' more useful input computation. Separately, resource theories---simple models for ag...

The capacity of distant parties to send signals one another is a fundamental requirement in many information-processing tasks. Such ability determined by the causal structure connecting parties, and more generally, intermediate processes carrying from laboratory another. Here we build fully fledged resource theory connection for all multi-party communication scenarios, encompassing those where ...