Fetching the paper…
Reading the bibliography…
We study the distribution of overlaps with the computational basis of a quantum state generated under generic quantum many-body chaotic dynamics, without conserved quantities, for a finite time $t$.
N. Macé, Quantum circuit at criticality (2019), arXiv:1912.09489 [cond-mat.dis-nn]
1912
Earlier work this paper cites.
C. E. Porter and R. G. Thomas, Fluctuations of nuclear reaction widths, Phys. Rev. 104
1956
Earlier work this paper cites.
D. Weingarten, Asymptotic behavior of group integrals in the limit of infinite rank, Journal of Mathematical Physics 19
1978
Earlier work this paper cites.
P. Diaconis, Group Representations in Probability and Statistics (IMS, 1988)
1988
Earlier work this paper cites.
E. Brézin and S. Hikami, Correlations of nearby levels induced by a random potential, Nuclear Physics B 479
1996
Earlier work this paper cites.
I. G. Macdonald, Symmetric functions and Hall polynomials (Oxford university press, 1998)
1998
Earlier work this paper cites.
E. Brézin and S. Hikami, Level spacing of random matrices in an external source, Phys. Rev. E 58
1998
Earlier work this paper cites.
A. Terras, Fourier analysis on finite groups and applications , 43 (Cambridge University Press, 1999)
1999
Earlier work this paper cites.
D. DiVincenzo, D. Leung, and B. Terhal, Quantum data hiding, IEEE Transactions on Information Theory 48
2002
Earlier work this paper cites.
R. M. Gray, Toeplitz and circulant matrices: A review, Foundations and Trends® in Communications and Information Theory 2
2006
Earlier work this paper cites.
P. Hayden and J. Preskill, Black holes as mirrors: quantum information in random subsystems, Journal of High Energy Physics 2007
2007
Earlier work this paper cites.
A. Ambainis and J. Emerson, Quantum t-designs: t-wise independence in the quantum world (2007), arXiv:quant-ph/0701126 [quant-ph]
2007
Earlier work this paper cites.
D. Gross, K. Audenaert, and J. Eisert, Evenly distributed unitaries: On the structure of unitary designs, Journal of Mathematical Physics 48
2007
Earlier work this paper cites.
Y. Sekino and L. Susskind, Fast scramblers, Journal of High Energy Physics 2008
2008
Earlier work this paper cites.
A. W. Harrow and R. A. Low, Random quantum circuits are approximate 2-designs, Communications in Mathematical Physics 291
2009
Earlier work this paper cites.
W. Fulton and J. Harris, Representation theory: a first course , Vol. 129 (Springer Science & Business Media, 2013)
2013
Earlier work this paper cites.
L. Susskind, Computational complexity and black hole horizons (2014), arXiv:1402.5674 [hep-th]
2014
Earlier work this paper cites.
S. H. Shenker and D. Stanford, Black holes and the butterfly effect, Journal of High Energy Physics 2014
2014
Earlier work this paper cites.
R. Nandkishore and D. A. Huse, Many-body localization and thermalization in quantum statistical mechanics, Annual Review of Condensed Matter Physics 6
2015
Earlier work this paper cites.
P. Calabrese, F. H. L. Essler, and G. Mussardo, Introduction to ‘quantum integrability in out of equilibrium systems’, Journal of Statistical Mechanics: Theory and Experiment 2016
2016
Earlier work this paper cites.
F. G. S. L. Brandão, A. W. Harrow, and M. Horodecki, Local random quantum circuits are approximate polynomial-designs, Communications in Mathematical Physics 346
2016
Earlier work this paper cites.
J. Maldacena, S. H. Shenker, and D. Stanford, A bound on chaos, Journal of High Energy Physics 2016
2016
Earlier work this paper cites.
A. Nahum, J. Ruhman, S. Vijay, and J. Haah, Quantum entanglement growth under random unitary dynamics, Phys. Rev. X 7
2017
Cited alongside, same era.
J. S. Cotler, G. Gur-Ari, M. Hanada, J. Polchinski, P. Saad, S. H. Shenker, D. Stanford, A. Streicher, and M. Tezuka, Black holes and random matrices, Journal of High Energy Physics 2017
2017
Cited alongside, same era.
D. A. Roberts and B. Yoshida, Chaos and complexity by design, Journal of High Energy Physics 2017
2017
Cited alongside, same era.
2017
Cited alongside, same era.
D. A. Abanin and Z. Papić, Recent progress in many-body localization, Annalen der Physik 529
2017
P. J. Forrester, Meet andréief, bordeaux 1886, and andreev, kharkov 1882–1883, Random Matrices: Theory and Applications 08
2019
Later among the works it cites.
T. Zhou and A. Nahum, Entanglement membrane in chaotic many-body systems, Phys. Rev. X 10
2020
Later among the works it cites.
G. Akemann, Z. Burda, and M. Kieburg, Universality of local spectral statistics of products of random matrices, Phys. Rev. E 102
2020
Later among the works it cites.
F. G. Brandão, W. Chemissany, N. Hunter-Jones, R. Kueng, and J. Preskill, Models of quantum complexity growth, PRX Quantum 2
2021
Later among the works it cites.
A. Chan, A. De Luca, and J. T. Chalker, Spectral lyapunov exponents in chaotic and localized many-body quantum systems, Phys. Rev. Research 3
2021
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
D. J. Luitz and Y. B. Lev, The ergodic side of the many‐body localization transition, Annalen der Physik 529
2017
Cited alongside, same era.
T. Rakovszky, F. Pollmann, and C. W. von Keyserlingk, Diffusive hydrodynamics of out-of-time-ordered correlators with charge conservation, Phys. Rev. X 8
2018
Cited alongside, same era.
S. Boixo, S. V. Isakov, V. N. Smelyanskiy, R. Babbush, N. Ding, Z. Jiang, M. J. Bremner, J. M. Martinis, and H. Neven, Characterizing quantum supremacy in near-term devices, Nature Physics 14
2018
Cited alongside, same era.
A. R. Brown and L. Susskind, Second law of quantum complexity, Physical Review D 97
2018
Cited alongside, same era.
C. W. von Keyserlingk, T. Rakovszky, F. Pollmann, and S. L. Sondhi, Operator hydrodynamics, otocs, and entanglement growth in systems without conservation laws, Phys. Rev. X 8
2018
Cited alongside, same era.
P. Kos, M. Ljubotina, and T. Prosen, Many-body quantum chaos: Analytic connection to random matrix theory, Physical Review X 8
2018
Cited alongside, same era.
B. Bertini, P. Kos, and T. Prosen, Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos, Phys. Rev. Lett. 121
2018
Cited alongside, same era.
B. Jonnadula, J. P. Keating, and F. Mezzadri, Symmetric function theory and unitary invariant ensembles, Journal of Mathematical Physics 62
2021
Later among the works it cites.
W. W. Ho and S. Choi, Exact emergent quantum state designs from quantum chaotic dynamics, Phys. Rev. Lett. 128
2022
Later among the works it cites.
J. Haferkamp, P. Faist, N. B. Kothakonda, J. Eisert, and N. Yunger Halpern, Linear growth of quantum circuit complexity, Nature Physics 18
2022
Later among the works it cites.
A. Chan, S. Shivam, D. A. Huse, and A. De Luca, Many-body quantum chaos and space-time translational invariance, Nature Communications 13
2022
Later among the works it cites.
2022
Later among the works it cites.
2023
Later among the works it cites.
M. Lucas, L. Piroli, J. De Nardis, and A. De Luca, Generalized deep thermalization for free fermions, Phys. Rev. A 107
2023
Later among the works it cites.
M. P. Fisher, V. Khemani, A. Nahum, and S. Vijay, Random quantum circuits, Annual Review of Condensed Matter Physics 14
2023
Later among the works it cites.
X. Turkeshi, M. Schirò, and P. Sierant, Measuring nonstabilizerness via multifractal flatness, Physical Review A 108
2023
Later among the works it cites.
S. Shivam, A. De Luca, D. A. Huse, and A. Chan, Many-body quantum chaos and emergence of ginibre ensemble, Physical Review Letters 130
2023
Later among the works it cites.
2023
Later among the works it cites.
2023
Later among the works it cites.
2024
Closest in time.
2024
Closest in time.
2024
Closest in time.
P. W. Claeys and G. De Tomasi, Fock-space delocalization and the emergence of the porter-thomas distribution from dual-unitary dynamics, Phys. Rev. Lett. 134
2025
Closest in time.