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The study of generic properties of quantum states has led to an abundance of insightful results.
Correlation length in random MPS and PEPS
C. Lancien and D. Pérez-García · 1906
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Instability of localization in translation-invariant systems
Y. Huang and A. W. Harrow · 1907
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Models of quantum complexity growth
F. G. S. L. Brandao, W. Chemissany, N. Hunter-Jones, R. Kueng, and J. Preskill · 1912
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Finitely correlated states on quantum spin chains
M. Fannes, B. Nachtergaele, and R.F. Werner · 1992
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Simple proof of page’s conjecture on the average entropy of a subsystem
J. Sánchez-Ruiz · 1995
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Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems
P. W. Brouwer and C. W. J. Beenakker · 1996
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From quantum dynamics to the canonical distribution: general picture and a rigorous example
H. Tasaki · 1998
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The concentration of measure phenomenon
M. Ledoux · 2001
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J. Haferkamp, F. Montealegre-Mora, M. Heinrich, J. Eisert, D. Gross, and I. Roth · 2002
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Randomizing quantum states: Constructions and applications
P. Hayden, D. Leung, P. W. Shor, and A. Winter · 2004
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Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
B. Collins and P. Śniady · 2006
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Aspects of generic entanglement
P. Hayden, D. W. Leung, and A. Winter · 2006
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J. Math. Phys
D. Gross, K. Audenaert, and J. Eisert · 2007
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Matrix product state representations
D. Perez-Garcia, F. Verstraete, M. M. Wolf, and J. I. Cirac · 2007
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Matrix product state representations
D. Perez-Garcia, F. Verstraete, M.M. Wolf, and J. I. Cirac · 2007
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Foundation of statistical mechanics under experimentally realistic conditions
P. Reimann · 2008
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Most quantum states are too entangled to be useful as computational resources
D. Gross, S. T. Flammia, and J. Eisert · 2009
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Quantum mechanical evolution towards thermal equilibrium
N. Linden, S. Popescu, A. J. Short, and A. Winter · 2009
Cited alongside, same era.
Matrix product states: Symmetries and two-body Hamiltonians
M. Sanz, M. M. Wolf, D. Pérez-García, and J. I. Cirac · 2009
Cited alongside, same era.
Area laws for the entanglement entropy
J. Eisert, M. Cramer, and M. B. Plenio · 2010
Cited alongside, same era.
Statistical properties of random matrix product states
S. Garnerone, T. R. de Oliveira, S. Haas, and P. Zanardi · 2010
Cited alongside, same era.
Typicality in random matrix product states
S. Garnerone, T. R. de Oliveira, and P. Zanardi · 2010
Cited alongside, same era.
Quantum computational webs
D. Gross and J. Eisert · 2010
Cited alongside, same era.
Many-body localisation implies that eigenvectors are matrix-product states
M. Friesdorf, A. H. Werner, W. Brown, V. B. Scholz, and J. Eisert · 2015
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Local random quantum circuits are approximate polynomial-designs
F. G. S. L. Brandão, A. W. Harrow, and M. Horodecki · 2016
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Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
C. Gogolin and J. Eisert · 2016
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Holographic duality from random tensor networks
P. Hayden, S. Nezami, X.-L. Qi, N. Thomas, M. Walter, and Z. Yang · 2016
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A blueprint for demonstrating quantum supremacy with superconducting qubits
C. Neill, P. Roushan, K. Kechedzhi, S. Boixo, S. V. Isakov, V. Smelyanskiy, R. Barends, B. Burkett, Y. Chen, and Z. Chen · 2017
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Operator spreading in random unitary circuits
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R. A. Low · 2010
Cited alongside, same era.
Entanglement spectrum of a topological phase in one dimension
F. Pollmann, A. M. Turner, E. Berg, and M. Oshikawa · 2010
Cited alongside, same era.
Classification of gapped symmetric phases in one-dimensional spin systems
X. Chen, Z.-C. Gu, and X.-G. Wen · 2011
Cited alongside, same era.
Non-equilibrium dynamics of closed interacting quantum systems
A. Polkovnikov, K. Sengupta, A. Silva, and M. Vengalattore · 2011
Cited alongside, same era.
Classifying quantum phases using matrix product states and projected entangled pair states
N. Schuch, D. Perez-Garcia, and I. Cirac · 2011
Cited alongside, same era.
Area laws in a many-body localised state and its implications for topological order
B. Bauer and C. Nayak · 2013
Cited alongside, same era.
A. Nahum, S. Vijay, and J. Haah · 2018
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Localization with random time-periodic quantum circuits
C. Sünderhauf, D. Pérez-García, D. A. Huse, N. Schuch, and J. I. Cirac · 2018
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Colloquium: Many-body localization, thermalization, and entanglement
D. A. Abanin, E. Altman, I. Bloch, and M. Serbyn · 2019
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Quantum supremacy using a programmable superconducting processor
F. Arute et al · 2019
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Unitary designs from statistical mechanics in random quantum circuits
N. Hunter-Jones · 2019
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Holography and criticality in matchgate tensor networks
A. Jahn, M. Gluza, F. Pastawski, and J. Eisert · 2019
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Guaranteed recovery of quantum processes from few measurements
M. Kliesch, R. Kueng, J. Eisert, and D. Gross · 2019
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R. Movassagh and J. Schenker · 2019
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Entanglement-ergodic quantum systems equilibrate exponentially well
H. Wilming, M. Goihl, I. Roth, and J. Eisert · 2019
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Emergent statistical mechanics of entanglement in random unitary circuits
T. Zhou and A. Nahum · 2019
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Theory of ergodic quantum processes
R. Movassagh and J. Schenker · 2020
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Extensive Rényi entropies in matrix product states
A. Rolandi and H. Wilming · 2020
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