For regular uniform LOSR networks whose incident hyperedges form information sets, local decoders from linear codes convert multipartite source states into GHZ states with fidelity d^{m-M} (optimal at 1/d for complete hypergraphs) without classical communication.
Fraser, Ravi Kunjwal, Ana Belen Sainz, Elie Wolfe, and Robert W
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Defines a resource theory of GPT-contextuality whose free operations are classical systems and univalent simulations, yielding monotones including classical excess (minimal embedding error into infinite classical systems) and parity-oblivious multiplexing success probability, with noncontextual GPTs
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Optimal GHZ-State Distribution in LOSR Quantum Networks via Local Decoding from Information Sets
For regular uniform LOSR networks whose incident hyperedges form information sets, local decoders from linear codes convert multipartite source states into GHZ states with fidelity d^{m-M} (optimal at 1/d for complete hypergraphs) without classical communication.
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Resource-theoretic hierarchy of contextuality for general probabilistic theories
Defines a resource theory of GPT-contextuality whose free operations are classical systems and univalent simulations, yielding monotones including classical excess (minimal embedding error into infinite classical systems) and parity-oblivious multiplexing success probability, with noncontextual GPTs