A hyper-decoherence map is constructed that produces standard quantum theory from quantum boxes theory, evading the Lee-Selby no-go theorem via relaxations on past signalling and purification uniqueness.
Hardy, Towards quantum gravity: a framework for 8 probabilistic theories with non-fixed causal structure, Journal of Physics A: Mathematical and Theoretical40, 3081 (2007)
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Decoherence to quantum theory from a causally-indefinite post-quantum theory
A hyper-decoherence map is constructed that produces standard quantum theory from quantum boxes theory, evading the Lee-Selby no-go theorem via relaxations on past signalling and purification uniqueness.