Matrix product states and the quantum max-flow/min-cut conjectures

DOI10.1063/1.5026985zbMath1402.82017arXiv1801.09106OpenAlexW2786687751WikidataQ122989262 ScholiaQ122989262MaRDI QIDQ4556631

Michael Walter, Fulvio Gesmundo, Joseph M. Landsberg

Publication date: 16 November 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09106

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (4)

On the geometry of tensor network states of \(2\times N\) grids ⋮ Dimension of tensor network varieties ⋮ Waring, tangential and cactus decompositions ⋮ Uniform matrix product states from an algebraic geometer's point of view

Cites Work

• Tensor Decompositions and Applications
• Geometric aspects of iterated matrix multiplication
• A practical introduction to tensor networks: Matrix product states and projected entangled pair states
• The asymptotics of quantum max-flow min-cut
• Holographic duality from random tensor networks
• Quantum Max-flow/Min-cut
• Positivity of the universal pairing in 3 dimensions
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