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Inverse Participation Ratios (IPRs) and the related Participation Entropies quantify the spread of a quantum state over a selected basis of the Hilbert space, offering insights into the equilibrium and non-equilibrium properties of the system.
H. F. Trotter, On the product of semi-groups of operators, Proceedings of the American Mathematical Society 10
1959
Earlier work this paper cites.
P. W. Anderson, More is different: Broken symmetry and the nature of the hierarchical structure of science., Science 177
1972
Earlier work this paper cites.
D. Thouless, Electrons in disordered systems and the theory of localization, Physics Reports 13
1974
Earlier work this paper cites.
M. Suzuki, Generalized trotter’s formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems, Communications in Mathematical Physics 51
1976
Earlier work this paper cites.
R. P. Feynman, Simulating physics with computers, International Journal of Theoretical Physics 21
1982
Earlier work this paper cites.
T. C. Halsey, M. H. Jensen, L. P. Kadanoff, I. Procaccia, and B. I. Shraiman, Fractal measures and their singularities: The characterization of strange sets, Physical review A 33
1986
Earlier work this paper cites.
I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Rigorous results on valence-bond ground states in antiferromagnets, Phys. Rev. Lett. 59
1987
Earlier work this paper cites.
H. E. Stanley and P. Meakin, Multifractal phenomena in physics and chemistry, Nature 335
1988
Earlier work this paper cites.
I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Valence bond ground states in isotropic quantum antiferromagnets, Communications in Mathematical Physics 115
1988
Earlier work this paper cites.
K. Vogel and H. Risken, Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase, Phys. Rev. A 40
1989
Earlier work this paper cites.
J. M. Deutsch, Quantum statistical mechanics in a closed system, Phys. Rev. A 43
1991
Earlier work this paper cites.
B. Kramer and A. MacKinnon, Localization: theory and experiment, Reports on Progress in Physics 56
1993
Earlier work this paper cites.
M. Kitagawa and M. Ueda, Squeezed spin states, Physical Review A 47
1993
Earlier work this paper cites.
P. Shor, Algorithms for quantum computation: discrete logarithms and factoring, in Proceedings 35th Annual Symposium on Foundations of Computer Science (1994) pp. 124–134
1994
Earlier work this paper cites.
D. J. Wineland, J. J. Bollinger, W. M. Itano, and D. Heinzen, Squeezed atomic states and projection noise in spectroscopy, Physical Review A 50
1994
Earlier work this paper cites.
L. K. Grover, A fast quantum mechanical algorithm for database search (1996), arXiv:quant-ph/9605043 [quant-ph]
1996
Earlier work this paper cites.
S. Lloyd, Universal quantum simulators, Science 273
1996
Earlier work this paper cites.
C. Zalka, Efficient simulation of quantum systems by quantum computers, Fortschritte der Physik: Progress of Physics 46
1998
Earlier work this paper cites.
H. Buhrman, R. Cleve, J. Watrous, and R. De Wolf, Quantum fingerprinting, Physical Review Letters 87
2001
Earlier work this paper cites.
R. Raussendorf and H. J. Briegel, A one-way quantum computer, Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information, Phys. Today 54
2001
Earlier work this paper cites.
G. Brassard, P. Hoyer, M. Mosca, and A. Tapp, Quantum amplitude amplification and estimation, Contemporary Mathematics 305
2002
Earlier work this paper cites.
D. Coppersmith, An approximate fourier transform useful in quantum factoring, arXiv preprint quant-ph/0201067 https://doi.org/10.48550/arXiv.quant-ph/0201067 (2002)
2002
Earlier work this paper cites.
S. Sachdev, K. Sengupta, and S. M. Girvin, Mott insulators in strong electric fields, Phys. Rev. B 66
2002
Earlier work this paper cites.
P. Fendley, K. Sengupta, and S. Sachdev, Competing density-wave orders in a one-dimensional hard-boson model, Phys. Rev. B 69
2004
Earlier work this paper cites.
I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Rigorous results on valence-bond ground states in antiferromagnets, Condensed Matter Physics and Exactly Soluble Models: Selecta of Elliott H. Lieb , 249 (2004)
2004
Earlier work this paper cites.
A. Aspuru-Guzik, A. D. Dutoi, P. J. Love, and M. Head-Gordon, Simulated quantum computation of molecular energies, Science 309
2005
Earlier work this paper cites.
M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen(De), and U. Sen, Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond, Advances in Physics 56
2007
Earlier work this paper cites.
D. Gross and J. Eisert, Novel schemes for measurement-based quantum computation, Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
L. Amico, R. Fazio, A. Osterloh, and V. Vedral, Entanglement in many-body systems, Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
H. Wang, S. Kais, A. Aspuru-Guzik, and M. R. Hoffmann, Quantum algorithm for obtaining the energy spectrum of molecular systems, Physical Chemistry Chemical Physics 10
2008
Earlier work this paper cites.
M. Rigol, V. Dunjko, and M. Olshanii, Thermalization and its mechanism for generic isolated quantum systems, Nature 452
2008
Earlier work this paper cites.
D. Poulin and P. Wocjan, Sampling from the thermal quantum gibbs state and evaluating partition functions with a quantum computer, Phys. Rev. Lett. 103
2009
Earlier work this paper cites.
A. Rodriguez, L. J. Vasquez, and R. A. Römer, Multifractal analysis with the probability density function at the three-dimensional anderson transition, Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
I. García-Mata, O. Giraud, and B. Georgeot, Quantum computation of multifractal exponents through the quantum wavelet transform, Phys. Rev. A 79
2009
Earlier work this paper cites.
J.-M. Stéphan, S. Furukawa, G. Misguich, and V. Pasquier, Shannon and entanglement entropies of one- and two-dimensional critical wave functions, Phys. Rev. B 80
2009
Earlier work this paper cites.
J. Eisert, M. Cramer, and M. B. Plenio, Colloquium: Area laws for the entanglement entropy, Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
M. Cramer, M. B. Plenio, S. T. Flammia, R. Somma, D. Gross, S. D. Bartlett, O. Landon-Cardinal, D. Poulin, and Y.-K. Liu, Efficient quantum state tomography, Nature Communications 1
2010
Earlier work this paper cites.
A. Rodriguez, L. J. Vasquez, K. Slevin, and R. A. Römer, Critical parameters from a generalized multifractal analysis at the anderson transition, Phys. Rev. Lett. 105
2010
Earlier work this paper cites.
J.-M. Stéphan, G. Misguich, and V. Pasquier, Rényi entropy of a line in two-dimensional ising models, Phys. Rev. B 82
2010
Earlier work this paper cites.
F. Wolfgramm, A. Cere, F. A. Beduini, A. Predojević, M. Koschorreck, and M. W. Mitchell, Squeezed-light optical magnetometry, Physical review letters 105
2010
Earlier work this paper cites.
X. Chen, R. Duan, Z. Ji, and B. Zeng, Quantum state reduction for universal measurement based computation, Phys. Rev. Lett. 105
2010
Earlier work this paper cites.
X. Wang, A. Bayat, S. Bose, and S. G. Schirmer, Global control methods for greenberger-horne-zeilinger-state generation on a one-dimensional ising chain, Physical Review A 82
2010
Earlier work this paper cites.
U. Schollwöck, The density-matrix renormalization group in the age of matrix product states, Annals of Physics 326
2011
Earlier work this paper cites.
S. Aaronson and A. Arkhipov, The computational complexity of linear optics, in Proceedings of the forty-third annual ACM symposium on Theory of computing (ACM, 2011) pp. 333–342
2011
Earlier work this paper cites.
A. Miyake, Quantum computational capability of a 2d valence bond solid phase, Annals of Physics 326
2011
Earlier work this paper cites.
F. Pollmann, E. Berg, A. M. Turner, and M. Oshikawa, Symmetry protection of topological phases in one-dimensional quantum spin systems, Phys. Rev. B 85
2012
Earlier work this paper cites.
A. De Luca and A. Scardicchio, Ergodicity breaking in a model showing many-body localization, EPL (Europhysics Letters) 101
2013
Earlier work this paper cites.
Y. Gao, H. Zhou, D. Zou, X. Peng, and J. Du, Preparation of greenberger-horne-zeilinger and w states on a one-dimensional ising chain by global control, Physical Review A 87
2013
Earlier work this paper cites.
2014
Earlier work this paper cites.
J. Pedernales, R. Di Candia, I. Egusquiza, J. Casanova, and E. Solano, Efficient quantum algorithm for computing n-time correlation functions, Physical Review Letters 113
2014
Earlier work this paper cites.
J.-M. Stéphan, Shannon and rényi mutual information in quantum critical spin chains, Phys. Rev. B 90
2014
Earlier work this paper cites.
T. Baumgratz, M. Cramer, and M. B. Plenio, Quantifying coherence, Phys. Rev. Lett. 113
2014
Earlier work this paper cites.
J. Tura, R. Augusiak, A. B. Sainz, T. Vértesi, M. Lewenstein, and A. Acín, Detecting nonlocality in many-body quantum states, Science 344
2014
Earlier work this paper cites.
T.-C. Wei, P. Haghnegahdar, and R. Raussendorf, Hybrid valence-bond states for universal quantum computation, Phys. Rev. A 90
2014
Earlier work this paper cites.
D. J. Luitz, N. Laflorencie, and F. Alet, Participation spectroscopy and entanglement hamiltonian of quantum spin models, Journal of Statistical Mechanics: Theory and Experiment 2014
2014
Earlier work this paper cites.
E. Rico, T. Pichler, M. Dalmonte, P. Zoller, and S. Montangero, Tensor networks for lattice gauge theories and atomic quantum simulation, Phys. Rev. Lett. 112
2014
Earlier work this paper cites.
J. Eisert, M. Friesdorf, and C. Gogolin, Quantum many-body systems out of equilibrium, Nature Physics 11
2015
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
Cited alongside, same era.
E. J. Torres-Herrera and L. F. Santos, Dynamics at the many-body localization transition, Phys. Rev. B 92
2015
Cited alongside, same era.
M. Calixto and E. Romera, Inverse participation ratio and localization in topological insulator phase transitions, Journal of Statistical Mechanics: Theory and Experiment 2015
2015
Cited alongside, same era.
L. D’Alessio, Y. Kafri, A. Polkovnikov, and M. Rigol, From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics, Advances in Physics 65
2016
Cited alongside, same era.
A. Montanaro, Quantum algorithms: an overview, npj Quantum Information 2
2016
Cited alongside, same era.
L. Pausch, E. G. Carnio, A. Rodríguez, and A. Buchleitner, Chaos and ergodicity across the energy spectrum of interacting bosons, Phys. Rev. Lett. 126
2021
Later among the works it cites.
F. S. Lozano-Negro, P. R. Zangara, and H. M. Pastawski, Ergodicity breaking in an incommensurate system observed by otocs and loschmidt echoes: From quantum diffusion to sub-diffusion, Chaos, Solitons & Fractals 150
2021
Later among the works it cites.
L. Funcke, T. Hartung, K. Jansen, S. Kühn, M. Schneider, P. Stornati, and X. Wang, Towards quantum simulations in particle physics and beyond on noisy intermediate-scale quantum devices, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380
2021
Later among the works it cites.
G. Müller-Rigat, A. Aloy, M. Lewenstein, and I. Frérot, Inferring nonlinear many-body bell inequalities from average two-body correlations: Systematic approach for arbitrary spin- j j ensembles, PRX Quantum 2
2021
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J. Smith, A. Lee, P. Richerme, B. Neyenhuis, P. W. Hess, P. Hauke, M. Heyl, D. A. Huse, and C. Monroe, Many-body localization in a quantum simulator with programmable random disorder, Nature Physics 12
2016
Cited alongside, same era.
K. S. Tikhonov, A. D. Mirlin, and M. A. Skvortsov, Anderson localization and ergodicity on random regular graphs, Phys. Rev. B 94
2016
Cited alongside, same era.
K. S. Tikhonov and A. D. Mirlin, Fractality of wave functions on a cayley tree: Difference between tree and locally treelike graph without boundary, Phys. Rev. B 94
2016
Cited alongside, same era.
M. J. Bremner, A. Montanaro, and D. J. Shepherd, Average-case complexity versus approximate simulation of commuting quantum computations, Phys. Rev. Lett. 117
2016
Cited alongside, same era.
R. Schmied, J.-D. Bancal, B. Allard, M. Fadel, V. Scarani, P. Treutlein, and N. Sangouard, Bell correlations in a bose-einstein condensate, Science 352
2016
Cited alongside, same era.
C. Gross and I. Bloch, Quantum simulations with ultracold atoms in optical lattices, Science 357
2017
Cited alongside, same era.
A. Kandala, A. Mezzacapo, K. Temme, M. Takita, M. Brink, J. M. Chow, and J. M. Gambetta, Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets, nature 549
2017
Cited alongside, same era.
Later among the works it cites.
A. Niezgoda and J. Chwedeńczuk, Many-body nonlocality as a resource for quantum-enhanced metrology, Phys. Rev. Lett. 126
2021
Later among the works it cites.
M. Serbyn, D. A. Abanin, and Z. Papić, Quantum many-body scars and weak breaking of ergodicity, Nature Physics 17
2021
Later among the works it cites.
S. Yalouz, B. Senjean, F. Miatto, and V. Dunjko, Encoding strongly-correlated many-boson wavefunctions on a photonic quantum computer: application to the attractive bose-hubbard model, Quantum 5
2021
Later among the works it cites.
K. C. Tan and T. Volkoff, Variational quantum algorithms to estimate rank, quantum entropies, fidelity, and fisher information via purity minimization, Physical Review Research 3
2021
Later among the works it cites.
K. Bharti, A. Cervera-Lierta, T. H. Kyaw, T. Haug, S. Alperin-Lea, A. Anand, M. Degroote, H. Heimonen, J. S. Kottmann, T. Menke, W.-K. Mok, S. Sim, L.-C. Kwek, and A. Aspuru-Guzik, Noisy intermediate-scale quantum algorithms, Rev. Mod. Phys. 94
2022
Later among the works it cites.
I.-C. Chen, B. Burdick, Y. Yao, P. P. Orth, and T. Iadecola, Error-mitigated simulation of quantum many-body scars on quantum computers with pulse-level control, Physical Review Research 4
2022
Later among the works it cites.
L. Leone, S. F. E. Oliviero, and A. Hamma, Stabilizer rényi entropy, Phys. Rev. Lett. 128
2022
Later among the works it cites.
I. García-Mata, J. Martin, O. Giraud, B. Georgeot, R. Dubertrand, and G. Lemarié, Critical properties of the Anderson transition on random graphs: Two-parameter scaling theory, Kosterlitz-Thouless type flow, and many-body localization, Phys. Rev. B 106
2022
Later among the works it cites.
S. Pappalardi, L. Foini, and J. Kurchan, Eigenstate thermalization hypothesis and free probability, Phys. Rev. Lett. 129
2022
Later among the works it cites.
P. Sierant and X. Turkeshi, Universal behavior beyond multifractality of wave functions at measurement-induced phase transitions, Physical Review Letters 128
2022
Later among the works it cites.
P. Sierant, M. Schirò, M. Lewenstein, and X. Turkeshi, Measurement-induced phase transitions in ( d + 1 ) (d+1) -dimensional stabilizer circuits, Phys. Rev. B 106
2022
Later among the works it cites.
M. Oszmaniec, N. Dangniam, M. E. Morales, and Z. Zimborás, Fermion sampling: A robust quantum computational advantage scheme using fermionic linear optics and magic input states, PRX Quantum 3
2022
Later among the works it cites.
N. Goss, A. Morvan, B. Marinelli, B. K. Mitchell, L. B. Nguyen, R. K. Naik, L. Chen, C. Jünger, J. M. Kreikebaum, D. I. Santiago, J. J. Wallman, and I. Siddiqi, High-fidelity qutrit entangling gates for superconducting circuits, Nature Communications 13
2022
Later among the works it cites.
M. Ringbauer, M. Meth, L. Postler, R. Stricker, R. Blatt, P. Schindler, and T. Monz, A universal qudit quantum processor with trapped ions, Nature Physics 18
2022
Later among the works it cites.
M. Płodzień, M. Lewenstein, E. Witkowska, and J. Chwedeńczuk, One-axis twisting as a method of generating many-body bell correlations, Physical Review Letters 129
2022
Later among the works it cites.
T. Hernández Yanes, M. Płodzień, M. Mackoit Sinkevičienė, G. Žlabys, G. Juzeliūnas, and E. Witkowska, One- and two-axis squeezing via laser coupling in an atomic fermi-hubbard model, Phys. Rev. Lett. 129
2022
Later among the works it cites.
Z. Yao, L. Pan, S. Liu, and H. Zhai, Quantum many-body scars and quantum criticality, Physical Review B 105
2022
Later among the works it cites.
T.-C. Wei, R. Raussendorf, and I. Affleck, Some aspects of affleck–kennedy–lieb–tasaki models: Tensor network, physical properties, spectral gap, deformation, and quantum computation, in Entanglement in Spin Chains: From Theory to Quantum Technology Applications , edited by A. Bayat, S. Bose, and H. Johannesson (Springer International Publishing, Cham, 2022) pp. 89–125
2022
Later among the works it cites.
2022
Later among the works it cites.
Z. Zhang, Y. Yang, X. Xu, and Y. Li, Quantum algorithms for schrieffer-wolff transformation, Physical Review Research 4
2022
Later among the works it cites.
A. M. Alhambra, Quantum many-body systems in thermal equilibrium, PRX Quantum 4
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.
J. Fraxanet, T. Salamon, and M. Lewenstein, The coming decades of quantum simulation, in Sketches of Physics: The Celebration Collection , edited by R. Citro, M. Lewenstein, A. Rubio, W. P. Schleich, J. D. Wells, and G. P. Zank (Springer International Publishing, Cham, 2023) pp. 85–125
2023
Later among the works it cites.
Y. Kim, A. Eddins, S. Anand, K. X. Wei, E. van den Berg, S. Rosenblatt, H. Nayfeh, Y. Wu, M. Zaletel, K. Temme, and A. Kandala, Evidence for the utility of quantum computing before fault tolerance, Nature 618
2023
Later among the works it cites.
A. Miessen, P. J. Ollitrault, F. Tacchino, and I. Tavernelli, Quantum algorithms for quantum dynamics, Nature Computational Science 3
2023
Later among the works it cites.
S. Liu, S.-X. Zhang, C.-Y. Hsieh, S. Zhang, and H. Yao, Probing many-body localization by excited-state variational quantum eigensolver, Physical Review B 107
2023
Later among the works it cites.
2023
Later among the works it cites.
A. Elben, S. T. Flammia, H.-Y. Huang, R. Kueng, J. Preskill, B. Vermersch, and P. Zoller, The randomized measurement toolbox, Nature Reviews Physics 5
2023
Later among the works it cites.
2023
Later among the works it cites.
2023
Later among the works it cites.
P. Sierant, M. Lewenstein, and A. Scardicchio, Universality in Anderson localization on random graphs with varying connectivity, SciPost Phys. 15
2023
Later among the works it cites.
2023
Later among the works it cites.
X. Turkeshi, M. Schirò, and P. Sierant, Measuring nonstabilizerness via multifractal flatness, Phys. Rev. A 108
2023
Later among the works it cites.
M. Hopjan and L. Vidmar, Scale-invariant survival probability at eigenstate transitions, Phys. Rev. Lett. 131
2023
Later among the works it cites.
B. Pain, K. Khanwal, and S. Roy, Connection between Hilbert-space return probability and real-space autocorrelations in quantum spin chains, Phys. Rev. B 108
2023
Later among the works it cites.
I. Creed, D. E. Logan, and S. Roy, Probability transport on the fock space of a disordered quantum spin chain, Phys. Rev. B 107
2023
Later among the works it cites.
P. Hrmo, B. Wilhelm, L. Gerster, M. W. van Mourik, M. Huber, R. Blatt, P. Schindler, T. Monz, and M. Ringbauer, Native qudit entanglement in a trapped ion quantum processor, Nature Communications 14
2023
Later among the works it cites.
2023
Later among the works it cites.
C. W. Bauer, Z. Davoudi, A. B. Balantekin, T. Bhattacharya, M. Carena, W. A. de Jong, P. Draper, A. El-Khadra, N. Gemelke, M. Hanada, D. Kharzeev, H. Lamm, Y.-Y. Li, J. Liu, M. Lukin, Y. Meurice, C. Monroe, B. Nachman, G. Pagano, J. Preskill, E. Rinaldi, A. Roggero, D. I. Santiago, M. J. Savage, I. Siddiqi, G. Siopsis, D. Van Zanten, N. Wiebe, Y. Yamauchi, K. Yeter-Aydeniz, and S. Zorzetti, Quantum simulation for high-energy physics, PRX Quantum 4
2023
Later among the works it cites.
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2023
Later among the works it cites.
T. Hernández Yanes, G. Žlabys, M. Płodzień, D. Burba, M. M. Sinkevičienė, E. Witkowska, and G. Juzeliūnas, Spin squeezing in open heisenberg spin chains, Phys. Rev. B 108
2023
Later among the works it cites.
K. C. Smith, E. Crane, N. Wiebe, and S. Girvin, Deterministic constant-depth preparation of the aklt state on a quantum processor using fusion measurements, PRX Quantum 4
2023
Later among the works it cites.
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2024
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