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One of the central problems in quantum mechanics is to determine the ground state properties of a system of electrons interacting via the Coulomb potential.
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Oliveira, R. & Terhal, B.M. The complexity of quantum spin systems on a two-dimensional square lattice. quant-ph/0504050 (2005)
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Kempe, J., Kitaev, A. & Regev, O. The Complexity of the Local Hamiltonian Problem. SIAM J. Comp. 35
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Liu, Y.-K., Christandl, M. & Verstraete, F. Quantum Computational Complexity of the N-Representability Problem: QMA Complete. Phys. Rev. Lett. 98
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