Titlebook: Computation, Logic, Games, and Quantum Foundations - The Many Facets of Samson Abramsky; Essays Dedicted to S Bob Coecke,Luke Ong,Prakash P

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Armin Scrinzi,Harm Geert Mullerlds the domain of continuous random variables over bounded complete domains devised by Goubault-Larrecq and Varacca. However, we also show that the Kleisli extension . of a Scott-continuous map .?: .?→?. is not Scott continuous, so the construction does not yield a monad on ., the category of bounde

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Quantum Speedup and Categorical Distributivity,This equivalence also exists in a wide range of categories..When applied to the category of finite-dimensional Hilbert spaces, we recover the usual efficient implementation of the quantum oracles at the heart of both Shor’s algorithm and quantum period-finding generally; however, it is also applicable in a much wider range of settings.

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Unifying Semantics for Concurrent Programming, simplicity with generality by postponing consideration of the possibly more complex basic commands of particular programming languages. The proofs are given only as hints, but they are easily reconstructed, even with the aid of a machine.

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Dialogue Categories and Frobenius Monoids,nsisting of a Prover and of a Denier. This dialogical point of view leads us to a correspondence between dialogue categories and Frobenius pseudomonoids. The correspondence with dialogue categories refines Day and Street’s correspondence with ?-autonomous categories in the same way as tensorial logic refines linear logic.

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