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Computing ground states of local Hamiltonians is a fundamental problem in condensed matter physics.
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D. Perez-Garcia, F. Verstraete, M. M. Wolf, and J. I. Cirac, “Matrix product state representations,” Quantum Info. Comput
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D. Aharonov, D. Gottesman, S. Irani, and J. Kempe, “The power of quantum systems on a line,” Communications in Mathematical Physics
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N. Schuch and J. I. Cirac, “Matrix product state and mean-field solutions for one-dimensional systems can be found efficiently,” Phys. Rev. A
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D. Aharonov, I. Arad, and S. Irani, “Efficient algorithm for approximating one-dimensional ground states,” Phys. Rev. A
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I. Arad, Z. Landau, and U. Vazirani, “Improved one-dimensional area law for frustration-free systems,” Phys. Rev. B
2012
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J. A. Tropp, “User-friendly tail bounds for sums of random matrices,” Foundations of Computational Mathematics
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D. Gottesman and S. Irani, “The quantum and classical complexity of translationally invariant tiling and hamiltonian problems,” Theory of Computing
2013
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I. Arad, A. Kitaev, Z. Landau, and U. Vazirani, “An area law and sub-exponential algorithm for 1D systems,” in Proceedings of the 4th Innovations in Theoretical Computer Science (ITCS)
2013
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