most citedT-homotopy and refinement of observation (IV) : Invariance of the underlying homotopy type

11 citations

5 papers

quant-ph20051 cited

Distributed measurement-based quantum computation

Vincent Danos, Ellie D'Hondt, Elham Kashefi +1

We develop a formal model for distributed measurement-based quantum computations, adopting an agent-based view, such that computations are described locally where possible. Because…

math.AT20058 cited

Inverting weak dihomotopy equivalence using homotopy continuous flow

Philippe Gaucher

A flow is homotopy continuous if it is indefinitely divisible up to S-homotopy. The full subcategory of cofibrant homotopy continuous flows has nice features. Not only it is big en…

math.AT200511 cited

T-homotopy and refinement of observation (IV) : Invariance of the underlying homotopy type

Philippe Gaucher

This series explores a new notion of T-homotopy equivalence of flows. The new definition involves embeddings of finite bounded posets preserving the bottom and the top elements and…

math.AT20057 cited

T-homotopy and refinement of observation (III) : Invariance of the branching and merging homologies

Philippe Gaucher

This series explores a new notion of T-homotopy equivalence of flows. The new definition involves embeddings of finite bounded posets preserving the bottom and the top elements and…

math.LO2005

No-counterexample interpretation et spécification des théorèmes de l'arithmétique

Denis Bonnay

This paper presents two different ways of extracting the computational content of formal proofs in arithmetic. The first one corresponds to Kreisel's No-counterexample Interpretati…