adaptive protocols 1algebraic methods 1cohomology 1contextuality 1measurement-based quantum computation 1quantum foundations 1
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quant-ph2026
Algebraic paradoxes in adaptive quantum computation
Samson Abramsky, Rui Soares Barbosa, Carmen Constantin +1
The paper shows that any adaptive Z₂‑linear measurement‑based quantum computation that deterministically computes a non‑affine Boolean function must involve a quantum resource that…
quant-ph2026
Effect-valued measurement models and contextuality
Samson Abramsky
We generalize the Abramsky--Brandenburger sheaf-theoretic treatment of contextuality by replacing probability distributions with distributions valued in a convex effect algebra \(A…
quant-ph2026
Commutation Groups and State-Independent Contextuality
Samson Abramsky, Serban-Ion Cercelescu, Carmen-Maria Constantin
We introduce an algebraic structure for studying state-independent contextuality arguments, a key form of quantum non-classicality exemplified by the well-known Peres-Mermin magic…