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We study complexity of several problems related to the Transverse field Ising Model (TIM).
Relation between the Anderson and Kondo hamiltonians
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Monte Carlo simulation of quantum spin systems. I
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Instabilities in the quantum Sherrington-Kirkpatrick Ising spin glass in transverse and longitudinal fields
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Quantum computation by adiabatic evolution
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A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem
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The complexity of the local Hamiltonian problem
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Merlin-Arthur games and stoquastic complexity
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S. Jansen, M.-B. Ruskai, and R. Seiler · 2007
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The complexity of quantum spin systems on a two-dimensional square lattice
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The complexity of stoquastic local Hamiltonian problems
S. Bravyi, D. DiVincenzo, R. Oliveira, and B. Terhal · 2008
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Cavity method for quantum spin glasses on the Bethe lattice
C. Laumann, A. Scardicchio, and S.L. Sondhi · 2008
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Quantum simulation of many-body Hamiltonians using perturbation theory with bounded-strength interactions
S. Bravyi, D. P. DiVincenzo, D. Loss, and B. M. Terhal · 2008
Universal signatures of fractionalized quantum critical points
S. Isakov, R. Melko, and M. B. Hastings · 2012
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The Local Hamiltonian problem on a line with eight states is QMA-complete
S. Hallgren, D. Nagaj, and S. Narayanaswami · 2013
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The Bose-Hubbard model is QMA-complete
A. M. Childs, D. Gosset, and Z. Webb · 2013
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Complexity classification of local Hamiltonian problems
T. Cubitt and A. Montanaro · 2013
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Obstructions to classically simulating the quantum adiabatic algorithm
M. B. Hastings · 2013
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Form-factors in the Baxter–Bazhanov–Stroganov model II: Ising model on the finite lattice
G. von Gehlen, N. Iorgov, S. Pakuliak, V. Shadura, and Yu. Tykhyy · 2008
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The power of quantum systems on a line
D. Aharonov, D. Gottesman, S. Irani, and J. Kempe · 2009
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Computational complexity of interacting electrons and fundamental limitations of density functional theory
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Schrieffer–Wolff transformation for quantum many-body systems
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Topological entanglement entropy of a Bose-Hubbard spin liquid
S. Isakov, M. B. Hastings, and R. Melko · 2011
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Monte Carlo simulation of stoquastic Hamiltonians
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