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Studies of random unitary circuits have shown that the calculation of Renyi entropies of entanglement can be mapped to classical statistical mechanics problems in spacetime.
Minoru Takahashi, “Few-dimensional heisenberg ferromagnets at low temperature,” Physical review letters 58
1987
Earlier work this paper cites.
Michael Stone, Kee-Su Park, and Anupam Garg, “The semiclassical propagator for spin coherent states,” Journal of Mathematical Physics 41
2000
Earlier work this paper cites.
A Yu Kitaev, “Unpaired majorana fermions in quantum wires,” Physics-Uspekhi 44
2001
Earlier work this paper cites.
Artur K Ekert, Carolina Moura Alves, Daniel KL Oi, Michał Horodecki, Paweł Horodecki, and Leong Chuan Kwek, “Direct estimations of linear and nonlinear functionals of a quantum state,” Physical review letters 88
2002
Earlier work this paper cites.
Ingo Peschel, “Calculation of reduced density matrices from correlation functions,” Journal of Physics A: Mathematical and General 36
2003
Earlier work this paper cites.
G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, “Entanglement in quantum critical phenomena,” Phys. Rev. Lett. 90
2003
Earlier work this paper cites.
Igor V Lerner, “Nonlinear sigma model for normal and superconducting systems: A pedestrian approach,” arXiv preprint cond-mat/0307471 (2003)
2003
Earlier work this paper cites.
Sergey Bravyi, “Lagrangian representation for fermionic linear optics,” (2004), 10.48550/ARXIV.QUANT-PH/0404180
2004
Earlier work this paper cites.
Pasquale Calabrese and John Cardy, “Evolution of entanglement entropy in one-dimensional systems,” Journal of Statistical Mechanics: Theory and Experiment 2005
2005
Earlier work this paper cites.
Maurizio Fagotti and Pasquale Calabrese, “Evolution of entanglement entropy following a quantum quench: Analytic results for the x y chain in a transverse magnetic field,” Physical Review A 78
2008
Earlier work this paper cites.
Julien Tailleur, Jorge Kurchan, and Vivien Lecomte, “Mapping out-of-equilibrium into equilibrium in one-dimensional transport models,” Journal of Physics A: Mathematical and Theoretical 41
2008
Earlier work this paper cites.
Pasquale Calabrese and John Cardy, “Entanglement entropy and conformal field theory,” Journal of physics a: mathematical and theoretical 42
2009
Earlier work this paper cites.
Celine Nadal, Satya N Majumdar, and Massimo Vergassola, “Phase transitions in the distribution of bipartite entanglement of a random pure state,” Physical review letters 104
2010
Earlier work this paper cites.
Celine Nadal, Satya N Majumdar, and Massimo Vergassola, “Statistical distribution of quantum entanglement for a random bipartite state,” Journal of Statistical Physics 142
2011
Earlier work this paper cites.
Hyungwon Kim and David A Huse, “Ballistic spreading of entanglement in a diffusive nonintegrable system,” Physical review letters 111
2013
Earlier work this paper cites.
Rajibul Islam, Ruichao Ma, Philipp M Preiss, M Eric Tai, Alexander Lukin, Matthew Rispoli, and Markus Greiner, “Measuring entanglement entropy in a quantum many-body system,” Nature 528
2015
Earlier work this paper cites.
Patrick Hayden, Sepehr Nezami, Xiao-Liang Qi, Nathaniel Thomas, Michael Walter, and Zhao Yang, “Holographic duality from random tensor networks,” JHEP 2016
2016
Earlier work this paper cites.
Michel Bauer, Denis Bernard, and Tony Jin, “Stochastic dissipative quantum spin chains (i) : Quantum fluctuating discrete hydrodynamics,” SciPost Physics 3
2017
Cited alongside, same era.
2018
Cited alongside, same era.
Márk Mezei, “Membrane theory of entanglement dynamics from holography,” Physical Review D 98
2018
Cited alongside, same era.
Adam Nahum, Sagar Vijay, and Jeongwan Haah, “Operator spreading in random unitary circuits,” Physical Review X 8
2018
Cited alongside, same era.
C. W. von Keyserlingk, Tibor Rakovszky, Frank Pollmann, and S. L. Sondhi, “Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws,” Physical Review X 8
2018
Yimu Bao, Soonwon Choi, and Ehud Altman, “Theory of the phase transition in random unitary circuits with measurements,” Phys. Rev. B 101
2020
Later among the works it cites.
Adam Nahum and Brian Skinner, “Entanglement and dynamics of diffusion-annihilation processes with majorana defects,” Phys. Rev. Res. 2
2020
Later among the works it cites.
Xiao Chen, Yaodong Li, Matthew P. A. Fisher, and Andrew Lucas, “Emergent conformal symmetry in nonunitary random dynamics of free fermions,” Phys. Rev. Res. 2
2020
Later among the works it cites.
Yimu Bao, Soonwon Choi, and Ehud Altman, “Symmetry enriched phases of quantum circuits,” Annals of Physics 435
2021
Later among the works it cites.
O. Alberton, M. Buchhold, and S. Diehl, “Entanglement transition in a monitored free-fermion chain: From extended criticality to area law,” Phys. Rev. Lett. 126
2021
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Cited alongside, same era.
Amos Chan, Andrea De Luca, and J. T. Chalker, “Solution of a minimal model for many-body quantum chaos,” Physical Review X 8
2018
Cited alongside, same era.
Denis Bernard, T Jin, and O Shpielberg, “Transport in quantum chains under strong monitoring,” Europhysics Letters 121
2018
Cited alongside, same era.
Vincenzo Alba and Pasquale Calabrese, “Entanglement dynamics after quantum quenches in generic integrable systems,” SciPost Physics 4
2018
Cited alongside, same era.
Tianci Zhou and Adam Nahum, “Emergent statistical mechanics of entanglement in random unitary circuits,” Phys. Rev. B 99
2019
Cited alongside, same era.
Nicholas Hunter-Jones, “Unitary designs from statistical mechanics in random quantum circuits,” (2019)
2019
Cited alongside, same era.
Romain Vasseur, Andrew C. Potter, Yi-Zhuang You, and Andreas W. W. Ludwig, “Entanglement transitions from holographic random tensor networks,” Phys. Rev. B 100
2019
Cited alongside, same era.
Xiangyu Cao, Antoine Tilloy, and Andrea De Luca, “Entanglement in a fermion chain under continuous monitoring,” SciPost Phys. 7
2019
Cited alongside, same era.
Later among the works it cites.
Adam Nahum, Sthitadhi Roy, Brian Skinner, and Jonathan Ruhman, “Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in landau-ginsburg theory,” PRX Quantum 2
2021
Later among the works it cites.
Pengfei Zhang, Shao-Kai Jian, Chunxiao Liu, and Xiao Chen, “Emergent replica conformal symmetry in non-hermitian syk _ 2 \_2 chains,” Quantum 5
2021
Later among the works it cites.
Denis Bernard and Tony Jin, “Solution to the quantum symmetric simple exclusion process: The continuous case,” Communications in Mathematical Physics 384
2021
Later among the works it cites.
Lucas Hackl and Eugenio Bianchi, “Bosonic and fermionic gaussian states from kähler structures,” SciPost Physics Core 4
2021
Later among the works it cites.
Denis Bernard and Lorenzo Piroli, “Entanglement distribution in the quantum symmetric simple exclusion process,” Physical Review E 104
2021
Later among the works it cites.
Eugenio Bianchi, Lucas Hackl, and Mario Kieburg, “Page curve for fermionic gaussian states,” Physical Review B 103
2021
Later among the works it cites.
Denis Bernard, Fabian Essler, Ludwig Hruza, and Marko Medenjak, “Dynamics of fluctuations in quantum simple exclusion processes,” SciPost Physics 12
2022
Later among the works it cites.
2022
Later among the works it cites.
Eugenio Bianchi, Lucas Hackl, Mario Kieburg, Marcos Rigol, and Lev Vidmar, “Volume-law entanglement entropy of typical pure quantum states,” PRX Quantum 3
2022
Later among the works it cites.
2022
Later among the works it cites.
Joseph Merritt and Lukasz Fidkowski, “Entanglement transitions with free fermions,” Physical Review B 107
2023
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