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Quantum variational algorithms are one of the most promising applications of near-term quantum computers; however, recent studies have demonstrated that unless the variational quantum circuits are configured in a problem-specific manner, optimization of such circuits will most likely fail.
Distribution of eigenvalues for some sets of random matrices
V A Marčenko and L A Pastur · 1967
Earlier work this paper cites.
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F. D. M. Haldane · 1988
Earlier work this paper cites.
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Earlier work this paper cites.
Average entropy of a subsystem
Don N. Page · 1993
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
Topological entanglement entropy of a bose–hubbard spin liquid
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Earlier work this paper cites.
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Earlier work this paper cites.
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J. Eisert · 2013
Earlier work this paper cites.
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Earlier work this paper cites.
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