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Exact solutions in interacting many-body systems are scarce but extremely valuable since they provide insights into the dynamics.
“Finitely correlated states on quantum spin chains”
Mark Fannes, Bruno Nachtergaele, and Reinhard F Werner · 1992
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“On Birkhoff’s theorem for doubly stochastic completely positive maps of matrix algebras”
LJ Landau and RF Streater · 1993
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“Optimal creation of entanglement using a two-qubit gate”
Barbara Kraus and J. Ignacio Cirac · 2001
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“An analysis of completely-positive trace-preserving maps on M 2 M_{2} ”
Mary Beth Ruskai, Stanislaw Szarek, and Elisabeth Werner · 2002
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“Matrix product density operators: Simulation of finite-temperature and dissipative systems”
Frank Verstraete, Juan J Garcia-Ripoll, and Juan Ignacio Cirac · 2004
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“Matrix product state representations”
David Perez-García, Frank Verstraete, Michael M Wolf, and J Ignacio Cirac · 2007
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“Third quantization: a general method to solve master equations for quadratic open Fermi systems”
Tomaž Prosen · 2008
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“Unital quantum channels - Convex structure and revivals of Birkhoff’s theorem”
Christian B. Mendl and Michael M. Wolf · 2009
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“Exact solution for a diffusive nonequilibrium steady state of an open quantum chain”
Marko Žnidarič · 2010
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“Quantum computation and quantum information: 10th anniversary edition”
Michael A. Nielsen and Isaac L. Chuang · 2010
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“A quantum version of Wielandt’s inequality”
Mikel Sanz, David Perez-Garcia, Michael M Wolf, and J Ignacio Cirac · 2010
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“Purifications of multipartite states: limitations and constructive methods”
Gemma De las Cuevas, Norbert Schuch, David Pérez-García, and J. Ignacio Cirac · 2013
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“Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence”
Fernando Pastawski, Beni Yoshida, Daniel Harlow, and John Preskill · 2015
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“Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices”
Dardo Goyeneche, Daniel Alsina, José I. Latorre, Arnau Riera, and Karol Życzkowski · 2015
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“Generalized gibbs ensemble in integrable lattice models”
Lev Vidmar and Marcos Rigol · 2016
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“Fundamental limitations in the purifications of tensor networks”
Gemma De las Cuevas, TS Cubitt, J Ignacio Cirac, MM Wolf, and David Pérez-García · 2016
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“Quantum entanglement growth under random unitary dynamics”
Adam Nahum, Jonathan Ruhman, Sagar Vijay, and Jeongwan Haah · 2017
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“Geometry of quantum states: An introduction to quantum entanglement”
Ingemar Bengtsson and Karol Życzkowski · 2017
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“Operator spreading in random unitary circuits”
Adam Nahum, Sagar Vijay, and Jeongwan Haah · 2018
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“Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws”
C. W. von Keyserlingk, Tibor Rakovszky, Frank Pollmann, and S. L. Sondhi · 2018
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“Solution of a minimal model for many-body quantum chaos”
Amos Chan, Andrea De Luca, and J. T. Chalker · 2018
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“Integrable trotterization: Local conservation laws and boundary driving”
Matthieu Vanicat, Lenart Zadnik, and Tomaž Prosen · 2018
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“Exact spectral form factor in a minimal model of many-body quantum chaos”
Bruno Bertini, Pavel Kos, and Tomaž Prosen · 2018
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“Quantum computing in the NISQ era and beyond”
John Preskill · 2018
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“The theory of quantum information”
John Watrous · 2018
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“Sub-ballistic growth of Rényi entropies due to diffusion”
Tibor Rakovszky, Frank Pollmann, and C. W. von Keyserlingk · 2019
Cited alongside, same era.
“Ergodic and nonergodic dual-unitary quantum circuits with arbitrary local Hilbert space dimension”
Pieter W. Claeys and Austen Lamacraft · 2021
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“From dual-unitary to quantum Bernoulli circuits: Role of the entangling power in constructing a quantum ergodic hierarchy”
S. Aravinda, Suhail Ahmad Rather, and Arul Lakshminarayan · 2021
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“Many-body quantum chaos and dual-unitarity round-a-face”
Tomaž Prosen · 2021
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“Eigenstate thermalization in dual-unitary quantum circuits: Asymptotics of spectral functions”
Felix Fritzsch and Tomaž Prosen · 2021
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“Influence matrix approach to many-body Floquet dynamics”
Alessio Lerose, Michael Sonner, and Dmitry A. Abanin · 2021
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“Triunitary quantum circuits”
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“Exact correlation functions for dual-unitary lattice models in 1+1 dimensions”
Bruno Bertini, Pavel Kos, and Tomaž Prosen · 2019
Cited alongside, same era.
“Entanglement spreading in a minimal model of maximal many-body quantum chaos”
Bruno Bertini, Pavel Kos, and Tomaž Prosen · 2019
Cited alongside, same era.
“Unitary circuits of finite depth and infinite width from quantum channels”
Sarang Gopalakrishnan and Austen Lamacraft · 2019
Cited alongside, same era.
“Spectral transitions and universal steady states in random Kraus maps and circuits”
Lucas Sá, Pedro Ribeiro, Tankut Can, and Tomaž Prosen · 2020
Cited alongside, same era.
“Exact dynamics in dual-unitary quantum circuits”
Lorenzo Piroli, Bruno Bertini, J. Ignacio Cirac, and Tomaž Prosen · 2020
Cited alongside, same era.
“Maximum velocity quantum circuits”
Pieter W. Claeys and Austen Lamacraft · 2020
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Cheryne Jonay, Vedika Khemani, and Matteo Ippoliti · 2021
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“Postselection-free entanglement dynamics via spacetime duality”
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“Spacetime duality between localization transitions and measurement-induced transitions”
Tsung-Cheng Lu and Tarun Grover · 2021
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“Chaos and ergodicity in extended quantum systems with noisy driving”
Pavel Kos, Bruno Bertini, and Tomaž Prosen · 2021
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“Matrix product states and projected entangled pair states: Concepts, symmetries, theorems”
J. Ignacio Cirac, David Pérez-García, Norbert Schuch, and Frank Verstraete · 2021
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“Integrable nonunitary quantum circuits”
Lei Su and Ivar Martin · 2022
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“Construction and the ergodicity properties of dual unitary quantum circuits”
Márton Borsi and Balázs Pozsgay · 2022
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Wen Wei Ho and Soonwon Choi · 2022
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“Computational power of one-and two-dimensional dual-unitary quantum circuits”
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Richard M. Milbradt, Lisa Scheller, Christopher Aßmus, and Christian B. Mendl · 2023
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