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The complexity of quantum many-body systems is manifested in the vast diversity of their correlations, making it challenging to distinguish the generic from the atypical features.
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T. Castellani and A. Cavagna, Spin-glass theory for pedestrians, J. Stat. Mech. 2005
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P. Hayden, D. W. Leung, and A. Winter, Aspects of Generic Entanglement, Comm. Math. Phys. 265
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M. M. Wilde, Quantum Information Theory (Cambridge University Press, Cambridge, 2013)
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B. Collins and P. Śniady, Integration with Respect to the Haar Measure on Unitary, Orthogonal and Symplectic Group, Comm. Math. Phys. 264
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D. Pérez-García, F. Verstraete, M. M. Wolf, and J. I. Cirac, Matrix product state representations, Quant. Inf. Comp. 7
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2009
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2010
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2016
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R. Movassagh, Generic Local Hamiltonians are Gapless, Phys. Rev. Lett. 119
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2017
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D. A. Roberts and B. Yoshida, Chaos and complexity by design, J. High Energ. Phys. 2017
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J. Watrous, The Theory of Quantum Information (Cambridge University Press, Cambridge, 2018)
2018
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2018
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2019
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2021
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2021
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I. Jauslin and M. Lemm, Random translation-invariant Hamiltonians and their spectral gaps, Quantum 6
2022
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2022
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2022
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2023
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