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quant-ph2025
Border Ranks of Positive and Invariant Tensor Decompositions: Applications to Correlations
Andreas Klingler, Tim Netzer, Gemma De les Coves
The matrix rank and its positive versions are robust for small approximations, i.e. they do not decrease under small perturbations. In contrast, the multipartite tensor rank can co…
quant-ph2024
Epistemic Horizons From Deterministic Laws: Lessons From a Nomic Toy Theory
Johannes Fankhauser, Tomáš Gonda, TomᚠGonda +1
Quantum theory has an epistemic horizon, i.e. exact values cannot be assigned simultaneously to incompatible physical quantities. As shown by Spekkens' toy theory, positing an epis…