Adjoining countable infinite tensor products to FinStoch yields exactly the category of locally constant Markov kernels on finite sets plus the Cantor space, and lifts the complete axiomatisation of binary stochastic matrices to this continuous setting.
A mathematical framewor k for causally struc- tured dilations and its relation to quantum self-testing
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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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Approaching the Continuous from the Discrete: an Infinite Tensor Product Construction
Adjoining countable infinite tensor products to FinStoch yields exactly the category of locally constant Markov kernels on finite sets plus the Cantor space, and lifts the complete axiomatisation of binary stochastic matrices to this continuous setting.
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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