bibkey: chiribella2009networks authors: Giulio Chiribella; Giacomo M. D’Ariano; Paolo Perinotti year: 2009 title: “Theoretical framework for quantum networks” doi: 10.1103/PhysRevA.80.022339 url: https://arxiv.org/abs/0904.4483v2 claim: “Finite-dimensional quantum networks compose linearly in their channel slots, and quantum testers evaluate whole network outcome probabilities.” strata_touched: [] license: citation-only triage: anchor
Specified channel slots and adaptive output experiments
Sources: https://arxiv.org/abs/0904.4483v2 and https://doi.org/10.1103/PhysRevA.80.022339. Section II.A, PDF p. 2, explicitly fixes finite-dimensional Hilbert spaces. Its linear-map/Choi correspondence and the link-product composition in §II.B, Theorem 1, PDF p. 3, give the multilinear slot description. Section IV.E, Definition 11, equation (66), PDF p. 17, defines testers through ; Theorem 11 describes their realization as a network followed by measurement.
LocalClock, §十四, 假设25与定理26 uses this as the finite-dimensional precedent for a fixed adaptive experiment. Its conditional memoryless-call contract is supplied separately. The direct trace-class, operator-valued event-measure induction there carries its stated separable-reference and measurable outcome scope; the finite-dimensional theorem alone does not establish that extension. A channel slot supplies neither an environment log nor a coherently controlled dilation, and the citation supplies no native FIB physical realization.