Rigorous Rg Algorithms and Area Laws for Low Energy Eigenstates In 1D.

DOI10.4230/LIPIcs.ITCS.2017.46zbMath1406.81101OpenAlexW2773156512MaRDI QIDQ4638101

Itai Arad, Zeph A. Landau, Thomas Vidick, Umesh V. Vazirani

Publication date: 3 May 2018

Full work available at URL: https://doi.org/10.4230/LIPIcs.ITCS.2017.46

zbMATH Keywords

algorithmarea lawgapped ground statesHamiltonian complexity

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Renormalization group methods applied to problems in quantum field theory (81T17) Many-body theory; quantum Hall effect (81V70)

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Rigorous Rg Algorithms and Area Laws for Low Energy Eigenstates In 1D.

Cites Work

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• The power of quantum systems on a line
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• [https://portal.mardi4nfdi.de/wiki/Publication:3187178 Computing the Degenerate Ground Space of Gapped Spin Chains in Polynomial Time]
• Rigorous Rg Algorithms and Area Laws for Low Energy Eigenstates In 1D.
• An area law for one-dimensional quantum systems

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