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quant-ph2026
Good Quantum Locally Testable Codes from Lossless Cubical Complexes
Itay Cohen, Itai Leigh, Assaf Reiner +2
Sipser and Spielman constructed LDPC codes from either bipartite \emph{spectral} expanders or one-sided \emph{lossless} expanders. In higher dimensions, \emph{spectral} expansion s…
quant-ph2026
PureSuperQMA(exp) = BellPureSymQMA(poly) = QMA via Dimension-Free Bosonic Argmax
William Gay, Fernando Granha Jeronimo, Lenny Liu +3
Pure-state consistency problems naturally lead to quantum proof systems in which a single pure witness must satisfy many acceptance constraints. The corresponding class $\mathsf{Pu…
math.AG2026
On quantum functionals for higher-order tensors
Alonso Botero, Matthias Christandl, Thomas C. Fraser +2
Upper and lower quantum functionals, introduced by Christandl, Vrana and Zuiddam (STOC 2018, J. Amer. Math. Soc. 2023), are families of monotone functions of tensors indexed by a w…