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• W2022122405 abstract "We consider the problem of approximating ground states of one-dimensional quantum systems within the two most common variational ansatzes, namely, the mean-field ansatz and matrix product states. We show that both for mean field and for matrix product states of fixed bond dimension, the optimal solutions can be found in a way which is provably efficient (i.e., scales polynomially). This implies that the corresponding variational methods can be in principle recast in a way which scales provably polynomially. Moreover, our findings imply that ground states of one-dimensional commuting Hamiltonians can be found efficiently." @default.
• W2022122405 created "2016-06-24" @default.
• W2022122405 creator A5072029219 @default.
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• W2022122405 date "2010-07-16" @default.
• W2022122405 modified "2023-09-24" @default.
• W2022122405 title "Matrix product state and mean-field solutions for one-dimensional systems can be found efficiently" @default.
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• W2022122405 doi "https://doi.org/10.1103/physreva.82.012314" @default.
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