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Unitary dynamics of a quantum system initialized in a selected basis state yields, generically, a state that is a superposition of all the basis states.
Asymptotic behavior of group integrals in the limit of infinite rank
Weingarten, D · 1978
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Chaos and quantum thermalization
Srednicki, M · 1994
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Quantum Computation and Quantum Information
Nielsen, M.A.; Chuang, I.L · 2000
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Anderson transitions
Evers, F.; Mirlin, A.D · 2000
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The theory of open quantum systems
Breuer, H.P.; Petruccione, F.; et al · 2002
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Decoherence, einselection, and the quantum origins of the classical
Zurek, W.H · 2003
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Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
Collins, B.; Sniady, P · 2006
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Entanglement in many-body systems
Amico, L.; Fazio, R.; Osterloh, A.; Vedral, V · 2008
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Anderson transitions
Evers, F.; Mirlin, A.D · 2008
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Shannon and entanglement entropies of one- and two-dimensional critical wave functions
Stéphan, J.M.; Furukawa, S.; Misguich, G.; Pasquier, V · 2009
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Multifractal Analysis with the Probability Density Function at the Three-Dimensional Anderson Transition
Rodriguez, A.; Vasquez, L.J.; Römer, R.A · 2009
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Rényi entropy of a line in two-dimensional Ising models
Stéphan, J.M.; Misguich, G.; Pasquier, V · 2010
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Multifractal finite-size scaling and universality at the Anderson transition
Rodriguez, A.; Vasquez, L.J.; Slevin, K.; Romer, R.A · 2010
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The density-matrix renormalization group in the age of matrix product states
Schollwöck, U · 2010
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Universal Behavior of the Shannon Mutual Information of Critical Quantum Chains
Alcaraz, F.C.; Rajabpour, M.A · 2013
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Ergodicity breaking in a model showing many-body localization
Luca, A.D.; Scardicchio, A · 2013
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Ballistic Spreading of Entanglement in a Diffusive Nonintegrable System
Kim, H.; Huse, D.A · 2013
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Improving entanglement and thermodynamic Rényi entropy measurements in quantum Monte Carlo
Luitz, D.J.; Plat, X.; Laflorencie, N.; Alet, F · 2014
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Spin-resolved entanglement spectroscopy of critical spin chains and Luttinger liquids
Laflorencie, N.; Rachel, S · 2014
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Shannon-Rényi entropies and participation spectra across three-dimensional O ( 3 ) O(3) criticality
Luitz, D.J.; Alet, F.; Laflorencie, N · 2014
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Quantifying Coherence
Baumgratz, T.; Cramer, M.; Plenio, M.B · 2014
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Universal Behavior beyond Multifractality in Quantum Many-Body Systems
Luitz, D.J.; Alet, F.; Laflorencie, N · 2014
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A practical introduction to tensor networks: Matrix product states and projected entangled pair states
Orús, R · 2014
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Quantum entanglement in condensed matter systems
Laflorencie, N · 2016
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From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
D’Alessio, L.; Kafri, Y.; Polkovnikov, A.; Rigol, M · 2016
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Quantum Entanglement Growth under Random Unitary Dynamics
Nahum, A.; Ruhman, J.; Vijay, S.; Haah, J · 2017
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Quantum Computing in the NISQ era and beyond
Preskill, J · 2018
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Operator Spreading in Random Unitary Circuits
Nahum, A.; Vijay, S.; Haah, J · 2018
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Spectral Statistics in Spatially Extended Chaotic Quantum Many-Body Systems
Chan, A.; De Luca, A.; Chalker, J.T · 2018
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Solution of a Minimal Model for Many-Body Quantum Chaos
Chan, A.; De Luca, A.; Chalker, J.T · 2018
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Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
von Keyserlingk, C.W.; Rakovszky, T.; Pollmann, F.; Sondhi, S.L · 2018
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Diffusive Hydrodynamics of Out-of-Time-Ordered Correlators with Charge Conservation
Rakovszky, T.; Pollmann, F.; von Keyserlingk, C.W · 2018
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Operator Spreading and the Emergence of Dissipative Hydrodynamics under Unitary Evolution with Conservation Laws
Khemani, V.; Vishwanath, A.; Huse, D.A · 2018
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Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance, and out-of-time-ordered correlator
Torres-Herrera, E.J.; García-García, A.M.; Santos, L.F · 2018
Cited alongside, same era.
Characterizing quantum supremacy in near-term devices
Boixo, S.; Isakov, S.V.; Smelyanskiy, V.N.; Babbush, R.; Ding, N.; Jiang, Z.; Bremner, M.J.; Martinis, J.M.; Neven, H · 2018
Cited alongside, same era.
Quantum resource theories
Chitambar, E.; Gour, G · 2019
Cited alongside, same era.
Multifractal dimensions for random matrices, chaotic quantum maps, and many-body systems
Bäcker, A.; Haque, M.; Khaymovich, I.M · 2019
Cited alongside, same era.
Colloquium: Many-body localization, thermalization, and entanglement
Abanin, D.A.; Altman, E.; Bloch, I.; Serbyn, M · 2019
Cited alongside, same era.
Multifractal Scalings Across the Many-Body Localization Transition
Measuring magic on a quantum processor
Oliviero, S.F.E.; Leone, L.; Hamma, A.; Lloyd, S · 2022
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Coherence requirements for quantum communication from hybrid circuit dynamics
Kelly, S.P.; Poschinger, U.; Schmidt-Kaler, F.; Fisher, M.P.A.; Marino, J · 2023
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Designs via Free Probability, 2023, [arXiv:quant-ph/2308.06200]
Fava, M.; Kurchan, J.; Pappalardi, S · 2023
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Pappalardi, S.; Fritzsch, F.; Prosen, T · 2023
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Random Quantum Circuits
Fisher, M.P.; Khemani, V.; Nahum, A.; Vijay, S · 2023
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Macé, N.; Alet, F.; Laflorencie, N · 2019
Cited alongside, same era.
Emergent statistical mechanics of entanglement in random unitary circuits
Zhou, T.; Nahum, A · 2019
Cited alongside, same era.
Quantum chaos in the Brownian SYK model with large finite N: OTOCs and tripartite information
Sünderhauf, C.; Piroli, L.; Qi, X.L.; Schuch, N.; Cirac, J.I · 2019
Cited alongside, same era.
Tensor networks for complex quantum systems
Orús, R · 2019
Cited alongside, same era.
Probing Rényi entanglement entropy via randomized measurements
Brydges, T.; Elben, A.; Jurcevic, P.; Vermersch, B.; Maier, C.; Lanyon, B.P.; Zoller, P.; Blatt, R.; Roos, C.F · 2019
Cited alongside, same era.
Quantum supremacy using a programmable superconducting processor
Arute, F.; Arya, K.; Babbush, R.; Bacon, D.; Bardin, J.C.; Barends, R.; Biswas, R.; Boixo, S.; Brandao, F.G.S.L.; Buell, D.A.; et al · 2019
Cited alongside, same era.
Multifractality Meets Entanglement: Relation for Nonergodic Extended States
De Tomasi, G.; Khaymovich, I.M · 2020
Cited alongside, same era.
Chahine, K.; Buchhold, M · 2023
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Vanoni, C.; Altshuler, B.L.; Kravtsov, V.E.; Scardicchio, A · 2023
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Sierant, P.; Lewenstein, M.; Scardicchio, A · 2023
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Many-Body Quantum Chaos and Emergence of Ginibre Ensemble
Shivam, S.; De Luca, A.; Huse, D.A.; Chan, A · 2023
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Temporal Entanglement in Chaotic Quantum Circuits
Foligno, A.; Zhou, T.; Bertini, B · 2023
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Scrambling Is Necessary but Not Sufficient for Chaos
Dowling, N.; Kos, P.; Modi, K · 2023
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Entanglement Growth and Minimal Membranes in ( d + 1 d+1 ) Random Unitary Circuits
Sierant, P.; Schirò, M.; Lewenstein, M.; Turkeshi, X · 2023
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Rampp, M.A.; Claeys, P.W · 2023
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Boundary chaos: Exact entanglement dynamics
Fritzsch, F.; Ghosh, R.; Prosen, T · 2023
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Random-matrix models of monitored quantum circuits, 2023, [arXiv:quant-ph/2312.09216]
Bulchandani, V.B.; Sondhi, S.L.; Chalker, J.T · 2023
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Luca, A.D.; Liu, C.; Nahum, A.; Zhou, T · 2023
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Tensor Network Algorithms: A Route Map
Bañuls, M.C · 2023
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Measuring nonstabilizerness via multifractal flatness
Turkeshi, X.; Schirò, M.; Sierant, P · 2023
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Probability transport on the Fock space of a disordered quantum spin chain
Creed, I.; Logan, D.E.; Roy, S · 2023
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Scale-Invariant Survival Probability at Eigenstate Transitions
Hopjan, M.; Vidmar, L · 2023
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Haug, T.; Lee, S.; Kim, M.S., 2023, [2305.19152]
2023
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A little magic means a lot, 2023, [arXiv:quant-ph/2308.16228]
Gu, A.; Leone, L.; Ghosh, S.; Eisert, J.; Yelin, S.; Quek, Y · 2023
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Tirrito, E.; Tarabunga, P.S.; Lami, G.; Chanda, T.; Leone, L.; Oliviero, S.F.E.; Dalmonte, M.; Collura, M.; Hamma, A · 2023
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Pauli Spectrum and Magic of Typical Quantum Many-Body States, 2023, [arXiv:quant-ph/2312.11631]
Turkeshi, X.; Dymarsky, A.; Sierant, P · 2023
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Many-Body Localization in the Age of Classical Computing, 2024, [arXiv:cond-mat.dis-nn/2403.07111]
Sierant, P.; Lewenstein, M.; Scardicchio, A.; Vidmar, L.; Zakrzewski, J · 2024
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Altshuler, B.L.; Kravtsov, V.E.; Scardicchio, A.; Sierant, P.; Vanoni, C · 2024
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Scoquart, T.; Gornyi, I.V.; Mirlin, A.D · 2024
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Vanoni, C.; Vitale, V · 2024
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Error-Resilience Phase Transitions in Encoding-Decoding Quantum Circuits
Turkeshi, X.; Sierant, P · 2024
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To appear., 2024
A. Christopoulos, A. Chan, and A. De Luca · 2024
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To appear., 2024
Y. Liu, P. Sierant, P. Stornati, M. Lewenstein and M. Płodzień · 2024
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Quantum statistical mechanics in a closed system
Deutsch, J.M · 2046
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