Projective toric designs, quantum state designs, and mutually unbiased bases

Toric $t$-designs, or equivalently $t$-designs on the diagonal subgroup of the unitary group, are sets of points on the torus over which sums reproduce integrals of degree $t$ monomials over the full torus. Motivated by the projective structure of quantum mechanics, we develop the notion of $t$-desi...

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Bibliographic Details
Main Authors: Joseph T. Iosue, T. C. Mooney, Adam Ehrenberg, Alexey V. Gorshkov
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2024-12-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2024-12-03-1546/pdf/