Categorical supermaps on any generalised theory with channel-state duality are exactly CJ-supermaps, recovering classical, quantum, and NSWSE-Boxworld supermaps.
Information processing in generalized pro babilistic theories
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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
Applies structure theorem for quasiprobability representations to bosonic QEC codes to obtain general phase-space representations and error structures for GKP, cat, and binomial codes.
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Supermaps on generalised theories
Categorical supermaps on any generalised theory with channel-state duality are exactly CJ-supermaps, recovering classical, quantum, and NSWSE-Boxworld supermaps.
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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
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A Structure Theorem for Phase-Space Representations of Continuous-Variable Quantum Error-Correcting Codes
Applies structure theorem for quasiprobability representations to bosonic QEC codes to obtain general phase-space representations and error structures for GKP, cat, and binomial codes.