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Effectuses in Categorical Quantum Foundations

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arxiv 1910.12198 v1 pith:IXYQ4X37 submitted 2019-10-27 quant-ph cs.LOmath.CT

Effectuses in Categorical Quantum Foundations

classification quant-ph cs.LOmath.CT
keywords theorycategoricaleffectusesquantumapproachapproachesaxiomaticcomprehensive
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This thesis develops the theory of effectuses as a categorical axiomatic approach to quantum theory. It provides a comprehensive introduction to effectus theory and reveals its connections with various other topics and approaches.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Convex Biproducts, Stochastic Matrices and Tape Diagrams

    cs.LO 2026-07 accept novelty 7.0

    Convex biproducts free-generate substochastic matrix categories isomorphic to probabilistic tape diagrams, giving a complete axiomatisation of probabilistic Boolean circuits.