A tensor version of the quantum Wielandt theorem

Frank Verstraete; Mateusz Micha{\l}ek; Tim Seynnaeve

arxiv: 1811.05502 · v1 · pith:WQUFTIPEnew · submitted 2018-11-13 · 🧮 math-ph · math.AC· math.MP

A tensor version of the quantum Wielandt theorem

Mateusz Micha{\l}ek , Tim Seynnaeve , Frank Verstraete This is my paper

classification 🧮 math-ph math.ACmath.MP

keywords quantumwielandtboundednessgeneralizationhigher-dimensionalinequalityinjectivitypeps

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We prove boundedness results for the injectivity regions for PEPS. Our result is a higher-dimensional generalization of the quantum Wielandt inequality.

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A tensor version of the quantum Wielandt theorem

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