Fetching the paper…
Reading the bibliography…
Random quantum circuits yield minimally structured models for chaotic quantum dynamics, able to capture for example universal properties of entanglement growth.
Murray Eden, “A two-dimensional growth process,” in Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Volume 4: Contributions to Biology and Problems of Medicine (University of California Press, Berkeley, Calif., 1961) pp. 223–239
1961
Earlier work this paper cites.
AI Larkin and Yu N Ovchinnikov, “Quasiclassical method in the theory of superconductivity,” Sov Phys JETP 28
1969
Earlier work this paper cites.
Elliott H Lieb and Derek W Robinson, “The finite group velocity of quantum spin systems,” in Statistical Mechanics (Springer, 1972) pp. 425–431
1972
Earlier work this paper cites.
Daniel Richardson, “Random growth in a tessellation,” in Mathematical Proceedings of the Cambridge Philosophical Society , Vol. 74 (Cambridge Univ Press, 1973) pp. 515–528
1973
Earlier work this paper cites.
D. Forster, D. R. Nelson, and M. J. Stephen, “Large-distance and long-time properties of a randomly stirred fluid,” Phys. Rev. A 16
1977
Earlier work this paper cites.
Richard Durrett and Thomas M Liggett, “The shape of the limit set in richardson’s growth model,” The Annals of Probability , 186–193 (1981)
1981
Earlier work this paper cites.
Robert Savit and Robert Ziff, “Morphology of a class of kinetic growth models,” Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
P Freche, D Stauffer, and H E Stanley, “Surface structure and anisotropy of eden clusters,” Journal of Physics A: Mathematical and General 18
1985
Earlier work this paper cites.
D. A. Huse and C. L. Henley, “Pinning and roughening of domain walls in ising systems due to random impurities,” Phys. Rev. Lett. 54
1985
Earlier work this paper cites.
Mehran Kardar, Giorgio Parisi, and Yi-Cheng Zhang, “Dynamic scaling of growing interfaces,” Physical Review Letters 56
1986
Earlier work this paper cites.
R Hirsch and D E Wolf, “Anisotropy and scaling of eden clusters in two and three dimensions,” Journal of Physics A: Mathematical and General 19
1986
Earlier work this paper cites.
D E Wolf, “Wulff construction and anisotropic surface properties of two-dimensional eden clusters,” Journal of Physics A: Mathematical and General 20
1987
Earlier work this paper cites.
Paul Meakin, “Noise-reduced and anisotropy-enhanced eden and screened-growth models,” Phys. Rev. A 38
1988
Earlier work this paper cites.
J. Krug and H. Spohn, “Universality classes for deterministic surface growth,” Phys. Rev. A 38
1988
Earlier work this paper cites.
János Kertész and Dietrich E Wolf, “Anomalous roughening in growth processes,” Physical review letters 62
1989
Earlier work this paper cites.
J Krug, J Kertész, and DE Wolf, “Growth shapes and directed percolation,” EPL (Europhysics Letters) 12
1990
Earlier work this paper cites.
J Krug, H Spohn, and C Godrèche, “in ‘solids far from equilibrium’,” Solids far from equilibrium (1991)
1991
Earlier work this paper cites.
Lawrence Saul, Mehran Kardar, and N Read, “Directed waves in random media,” Physical Review A 45
1992
Earlier work this paper cites.
P.J. Forrester, “The spectrum edge of random matrix ensembles,” Nuclear Physics B 402
1993
Earlier work this paper cites.
Craig A. Tracy and Harold Widom, “Level-spacing distributions and the airy kernel,” Communications in Mathematical Physics 159
1994
Earlier work this paper cites.
T. Halpin-Healy and Y-C. Zhang, “Kinetic roughening phenomena, stochastic growth, directed polymers and all that. aspects of multidisciplinary statistical mechanics,” Physics Reports 254
1995
Earlier work this paper cites.
John Cardy, Scaling and renormalization in statistical physics , Vol. 5 (Cambridge university press, 1996)
1996
Earlier work this paper cites.
D. Gottesman, “The heisenberg representation of quantum computers,” arXiv preprint quant-ph/9807006 (1998)
1998
Earlier work this paper cites.
Jinho Baik, Percy Deift, and Kurt Johansson, “On the distribution of the length of the longest increasing subsequence of random permutations,” Journal of the American Mathematical Society 12
1999
Earlier work this paper cites.
Kurt Johansson, “Shape fluctuations and random matrices,” Communications in mathematical physics 209
2000
Earlier work this paper cites.
Michael Prähofer and Herbert Spohn, “Universal distributions for growth processes in 1 + 1 1+1 dimensions and random matrices,” Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
Craig A Tracy and Harold Widom, “On the distributions of the lengths of the longest monotone subsequences in random words,” Probability Theory and Related Fields 119
2001
Earlier work this paper cites.
P. Calabrese and J. Cardy, “Evolution of entanglement entropy in one-dimensional systems,” J. Stat. Mech. 0504
2005
Earlier work this paper cites.
Patrick Hayden and John Preskill, “Black holes as mirrors: quantum information in random subsystems,” Journal of High Energy Physics 2007
2007
Earlier work this paper cites.
R. Oliveira, O. C. O. Dahlsten, and M. B. Plenio, “Generic entanglement can be generated efficiently,” Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
O C O Dahlsten, R Oliveira, and M B Plenio, “The emergence of typical entanglement in two-party random processes,” Journal of Physics A: Mathematical and Theoretical 40
2007
Earlier work this paper cites.
Yasuhiro Sekino and Leonard Susskind, “Fast scramblers,” Journal of High Energy Physics 2008
2008
Earlier work this paper cites.
Marko Žnidarič, “Exact convergence times for generation of random bipartite entanglement,” Phys. Rev. A 78
2008
Earlier work this paper cites.
P. Deift, A. Its, and I. Krasovsky, “Asymptotics of the airy-kernel determinant,” Communications in Mathematical Physics 278
2008
Earlier work this paper cites.
Jinho Baik, Robert Buckingham, and Jeffery DiFranco, “Asymptotics of tracy-widom distributions and the total integral of a painlevé ii function,” Communications in Mathematical Physics 280
2008
Earlier work this paper cites.
P. Calabrese and J. Cardy, “Entanglement entropy and conformal field theory,” Journal of Physics A: Mathematical and Theoretical 42
2009
Cited alongside, same era.
P. Calabrese, P. Le Doussal, and A. Rosso, “Free-energy distribution of the directed polymer at high temperature,” EPL (Europhysics Letters) 90
2010
Cited alongside, same era.
V. Dotsenko, “Bethe ansatz derivation of the tracy-widom distribution for one-dimensional directed polymers,” EPL (Europhysics Letters) 90
2010
Cited alongside, same era.
J Gütschow, S Uphoff, R. F. Werner, and Z Zimborás, “Time asymptotics and entanglement generation of clifford quantum cellular automata,” J. Math. Phys. 51
2010
Cited alongside, same era.
Tomohiro Sasamoto and Herbert Spohn, “The 1+ 1-dimensional kardar–parisi–zhang equation and its universality class,” Journal of Statistical Mechanics: Theory and Experiment 2010
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
Adam M. Kaufman, M. Eric Tai, Alexander Lukin, Matthew Rispoli, Robert Schittko, Philipp M. Preiss, and Markus Greiner, “Quantum thermalization through entanglement in an isolated many-body system,” Science 353
2016
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2010
Cited alongside, same era.
Thomas Kriecherbauer and Joachim Krug, “A pedestrian’s view on interacting particle systems, kpz universality and random matrices,” Journal of Physics A: Mathematical and Theoretical 43
2010
Cited alongside, same era.
Gideon Amir, Ivan Corwin, and Jeremy Quastel, “Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions,” Communications on Pure and Applied Mathematics 64
2011
Cited alongside, same era.
Pasquale Calabrese and Pierre Le Doussal, “Exact solution for the kardar-parisi-zhang equation with flat initial conditions,” Phys. Rev. Lett. 106
2011
Cited alongside, same era.
Sylvain Prolhac and Herbert Spohn, “Height distribution of the kardar-parisi-zhang equation with sharp-wedge initial condition: Numerical evaluations,” Phys. Rev. E 84
2011
Cited alongside, same era.
K. A. Takeuchi, M. Sano, T. Sasamoto, and H. Spohn, “Growing interfaces uncover universal fluctuations behind scale invariance,” Scientific Reports 1
2011
Cited alongside, same era.
2012
Cited alongside, same era.
Pierre Le Doussal and Pasquale Calabrese, “The kpz equation with flat initial condition and the directed polymer with one free end,” Journal of Statistical Mechanics: Theory and Experiment 2012
2012
Cited alongside, same era.
Pavan Hosur, Xiao-Liang Qi, Daniel A. Roberts, and Beni Yoshida, “Chaos in quantum channels,” Journal of High Energy Physics 2016
2016
Later among the works it cites.
2016
Later among the works it cites.
Juan Maldacena, Stephen H. Shenker, and Douglas Stanford, “A bound on chaos,” Journal of High Energy Physics 2016
2016
Later among the works it cites.
Igor L. Aleiner, Lara Faoro, and Lev B. Ioffe, “Microscopic model of quantum butterfly effect: Out-of-time-order correlators and traveling combustion waves,” Annals of Physics 375
2016
Later among the works it cites.
Douglas Stanford, “Many-body chaos at weak coupling,” Journal of High Energy Physics 2016
2016
Later among the works it cites.
2016
Later among the works it cites.
Daniel A Roberts and Brian Swingle, “Lieb-robinson bound and the butterfly effect in quantum field theories,” Physical Review Letters 117
2016
Later among the works it cites.
Yichen Huang, Yong-Liang Zhang, and Xie Chen, “Out-of-time-ordered correlators in many-body localized systems,” Annalen der Physik (2016)
2016
Later among the works it cites.
Xiao Chen, Tianci Zhou, David A Huse, and Eduardo Fradkin, “Out-of-time-order correlations in many-body localized and thermal phases,” Annalen der Physik (2016)
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
Guanyu Zhu, Mohammad Hafezi, and Tarun Grover, “Measurement of many-body chaos using a quantum clock,” Physical Review A 94
2016
Later among the works it cites.
Brian Swingle, Gregory Bentsen, Monika Schleier-Smith, and Patrick Hayden, “Measuring the scrambling of quantum information,” Phys. Rev. A 94
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
Aavishkar A. Patel and Subir Sachdev, “Quantum chaos on a critical fermi surface,” Proceedings of the National Academy of Sciences 114
2017
Closest in time.
Sumilan Banerjee and Ehud Altman, “Solvable model for a dynamical quantum phase transition from fast to slow scrambling,” Phys. Rev. B 95
2017
Closest in time.
2017
Closest in time.
2017
Closest in time.
Brian Swingle and Debanjan Chowdhury, “Slow scrambling in disordered quantum systems,” Physical Review B 95
2017
Closest in time.
Rong-Qiang He and Zhong-Yi Lu, “Characterizing many-body localization by out-of-time-ordered correlation,” Physical Review B 95
2017
Closest in time.
Ruihua Fan, Pengfei Zhang, Huitao Shen, and Hui Zhai, “Out-of-time-order correlation for many-body localization,” Science Bulletin (2017)
2017
Closest in time.
2017
Closest in time.
2017
Closest in time.
2017
Closest in time.
Wen Wei Ho and Dmitry A. Abanin, “Entanglement dynamics in quantum many-body systems,” Phys. Rev. B 95
2017
Closest in time.