Area laws and efficient descriptions of quantum many-body states

DOI10.1088/1367-2630/18/8/083026zbMath1456.81065arXiv1411.2995OpenAlexW2963370031WikidataQ57637194 ScholiaQ57637194MaRDI QIDQ5855082

Yimin Ge, Jens Eisert

Publication date: 12 March 2021

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

Full work available at URL: https://arxiv.org/abs/1411.2995

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Quantum coherence, entanglement, quantum correlations (81P40) Entanglement measures, concurrencies, separability criteria (81P42)

Related Items (3)

Two-dimensional local Hamiltonian problem with area laws is \textsf{QMA}-complete ⋮ Equilibration in low-dimensional quantum matrix models ⋮ Mathematical open problems in projected entangled pair states

Cites Work

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• The density-matrix renormalization group in the age of matrix product states
• Spectral gap and exponential decay of correlations
• Colloquium: Area laws for the entanglement entropy
• Entropy Scaling and Simulability by Matrix Product States
• QUANTUM KOLMOGOROV COMPLEXITY AND ITS APPLICATIONS
• An area law for one-dimensional quantum systems
• Quantum computing, postselection, and probabilistic polynomial-time
• An introduction to Kolmogorov complexity and its applications

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