Fetching the paper…
Reading the bibliography…
The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key diagnostic of many-body quantum chaos.
1903
Earlier work this paper cites.
E. Wigner, Characteristic vectors of bordered matrices with infinite dimensionsJSTOR: Annals of Mathematics, Second Series, Vol. 62, No. 3 (Nov., 1955), pp. 548-564, Ann. Math. 62
1955
Earlier work this paper cites.
F. J. Dyson, Statistical Theory of the Energy Levels of Complex Systems. I, J. Math. Phys. 3
1962
Earlier work this paper cites.
M. V. Berry and M. Tabor, Level clustering in the regular spectrum, Proc. Royal Soc. Lond. 356
1977
Earlier work this paper cites.
M. V. Berry, Regular and irregular semiclassical wavefunctions, J. Phys. A 10
1977
Earlier work this paper cites.
G. Casati, F. Valz-Gris, and I. Guarnieri, On the connection between quantization of nonintegrable systems and statistical theory of spectra, Lettere al Nuovo Cimento 28
1980
Earlier work this paper cites.
O. Bohigas, M. J. Giannoni, and C. Schmit, Characterization of chaotic quantum spectra and universality of level fluctuation laws, Phys. Rev. Lett. 52
1984
Earlier work this paper cites.
L. Leviandier, M. Lombardi, R. Jost, and J. P. Pique, Fourier transform: A tool to measure statistical level properties in very complex spectra, Phys. Rev. Lett. 56
1986
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.
M. Srednicki, Chaos and quantum thermalization, Phys. Rev. E 50
1994
Earlier work this paper cites.
R. E. Prange, The spectral form factor is not self-averaging, Phys. Rev. Lett. 78
1997
Earlier work this paper cites.
T. Guhr, A. Müller–Groeling, and H. A. Weidenmüller, Random-matrix theories in quantum physics: common concepts, Phys. Rep. 299
1998
Earlier work this paper cites.
M. Srednicki, The approach to thermal equilibrium in quantized chaotic systems, J. Phys. A 32
1999
Earlier work this paper cites.
J. Gemmer, A. Otte, and G. Mahler, Quantum approach to a derivation of the second law of thermodynamics, Phys. Rev. Lett. 86
2001
Earlier work this paper cites.
Y. Avishai, J. Richert, and R. Berkovits, Level statistics in a heisenberg chain with random magnetic field, Phys. Rev. B 66
2002
Earlier work this paper cites.
M. L. Mehta, Random matrices (Elsevier, 2004)
2004
Earlier work this paper cites.
J. Emerson, R. Alicki, and K. Życzkowski, Scalable noise estimation with random unitary operators, J. Opt. B 7
2005
Earlier work this paper cites.
S. Popescu, A. J. Short, and A. Winter, The foundations of statistical mechanics from entanglement:Individual states vs. averages (2005), arXiv:quant-ph/0511225
2005
Earlier work this paper cites.
F. Mezzadri, How to generate random matrices from the classical compact groups (2006), arXiv:math-ph/0609050
2006
Earlier work this paper cites.
2006
Earlier work this paper cites.
B. Collins and P. Śniady, Integration with respect to the haar measure on unitary, orthogonal and symplectic group, Comm. Math. Phys. 264
2006
Earlier work this paper cites.
2006
Earlier work this paper cites.
S. Goldstein, J. L. Lebowitz, R. Tumulka, and N. Zanghì, Canonical typicality, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Popescu, A. J. Short, and A. Winter, Entanglement and the foundations of statistical mechanics, Nat. Phys. 2
2006
Earlier work this paper cites.
D. Gross, K. Audenaert, and J. Eisert, Evenly distributed unitaries: On the structure of unitary designs, J. Math. Phys. 48
2007
Earlier work this paper cites.
J. Emerson, M. Silva, O. Moussa, C. Ryan, M. Laforest, J. Baugh, D. G. Cory, and R. Laflamme, Symmetrized characterization of noisy quantum processes, Science 317
2007
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.
E. Knill, D. Leibfried, R. Reichle, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, Randomized benchmarking of quantum gates, Phys. Rev. A 77
2008
Earlier work this paper cites.
W. G. Brown, L. F. Santos, D. J. Starling, and L. Viola, Quantum chaos, delocalization, and entanglement in disordered heisenberg models, Phys. Rev. E 77
2008
Earlier work this paper cites.
C. Dankert, R. Cleve, J. Emerson, and E. Livine, Exact and approximate unitary 2-designs and their application to fidelity estimation, Phys. Rev. A 80
2009
Earlier work this paper cites.
G. W. Anderson, A. Guionnet, and O. Zeitouni, An Introduction to Random Matrices , Cambridge Studies in Advanced Mathematics (Cambridge University Press, 2009)
2009
Earlier work this paper cites.
B. Collins and S. Matsumoto, On some properties of orthogonal weingarten functions, J. Math. Phys. 50
2009
Earlier work this paper cites.
F. Haake, Quantum signature of Chaos (Springer Series in Synergetics, Springer Berlin Heidelberg, Berlin, Heidelberg, 2010)
2010
Earlier work this paper cites.
J. M. Deutsch, Thermodynamic entropy of a many-body energy eigenstate, New J. Phys. 12
2010
Earlier work this paper cites.
B. Collins and I. Nechita, Random quantum channels i: Graphical calculus and the bell state phenomenon, Comm. Math. Phys. 297
2010
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, 2010)
2010
Earlier work this paper cites.
R. Blatt and C. F. Roos, Quantum simulations with trapped ions, Nat. Phys. 8
2012
Earlier work this paper cites.
S. J. van Enk and C. W. J. Beenakker, Measuring Tr ρ n \rho^{n} on Single Copies of ρ \rho Using Random Measurements, Phys. Rev. Lett. 108
2012
Earlier work this paper cites.
E. Magesan, J. M. Gambetta, B. R. Johnson, C. A. Ryan, J. M. Chow, S. T. Merkel, M. P. da Silva, G. A. Keefe, M. B. Rothwell, T. A. Ohki, et al. , Efficient measurement of quantum gate error by interleaved randomized benchmarking, Phys. Rev. Lett. 109
2012
Earlier work this paper cites.
2012
Earlier work this paper cites.
C. G. Bowsher and P. S. Swain, Identifying sources of variation and the flow of information in biochemical networks, Proc. Natl. Acad. Sci. U.S.A. 109
2012
Earlier work this paper cites.
L. D’Alessio and M. Rigol, Long-time behavior of isolated periodically driven interacting lattice systems, Phys. Rev. X 4
2014
Earlier work this paper cites.
A. Lazarides, A. Das, and R. Moessner, Equilibrium states of generic quantum systems subject to periodic driving, Phys. Rev. E 90
2014
Cited alongside, same era.
H. Kim, T. N. Ikeda, and D. A. Huse, Testing whether all eigenstates obey the eigenstate thermalization hypothesis, Phys. Rev. E 90
2014
Cited alongside, same era.
A. De Luca, B. L. Altshuler, V. E. Kravtsov, and A. Scardicchio, Anderson localization on the bethe lattice: Nonergodicity of extended states, Phys. Rev. Lett. 113
2014
Cited alongside, same era.
R. Islam, R. Ma, P. M. Preiss, M. Eric Tai, A. Lukin, M. Rispoli, and M. Greiner, Measuring entanglement entropy in a quantum many-body system, Nature 528
2015
Cited alongside, same era.
R. Nandkishore and D. A. Huse, Many-Body Localization and Thermalization in Quantum Statistical Mechanics, Ann. Rev. Cond. Matter Phys. 6
2015
T. Micklitz, F. Monteiro, and A. Altland, Nonergodic extended states in the sachdev-ye-kitaev model, Phys. Rev. Lett. 123
2019
Later among the works it cites.
A. Elben, B. Vermersch, C. F. Roos, and P. Zoller, Statistical correlations between locally randomized measurements: A toolbox for probing entanglement in many-body quantum states, Phys. Rev. A 99
2019
Later among the works it cites.
M. Kliesch, R. Kueng, J. Eisert, and D. Gross, Guaranteed recovery of quantum processes from few measurements, Quantum 3
2019
Later among the works it cites.
L. M. Sieberer, T. Olsacher, A. Elben, M. Heyl, P. Hauke, F. Haake, and P. Zoller, Digital quantum simulation, trotter errors, and quantum chaos of the kicked top, npj Quantum Inf. 5
2019
Later among the works it cites.
B. Skinner, J. Ruhman, and A. Nahum, Measurement-induced phase transitions in the dynamics of entanglement, Phys. Rev. X 9
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
P. Ponte, A. Chandran, Z. Papić, and D. A. Abanin, Periodically driven ergodic and many-body localized quantum systems, Ann. Phys. 353
2015
Cited alongside, same era.
M. C. Tran, B. Dakić, F. m. c. Arnault, W. Laskowski, and T. Paterek, Quantum entanglement from random measurements, Phys. Rev. A 92
2015
Cited alongside, same era.
V. Kravtsov, I. Khaymovich, E. Cuevas, and M. Amini, A random matrix model with localization and ergodic transitions, New J. Phys. 17
2015
Cited alongside, same era.
A. M. Kaufman, M. E. Tai, A. Lukin, M. Rispoli, R. Schittko, P. M. Preiss, and M. Greiner, Quantum thermalization through entanglement in an isolated many-body system, Science 353
2016
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, Adv. Phys. 65
2016
Cited alongside, same era.
M. C. Tran, B. Dakić, W. Laskowski, and T. Paterek, Correlations between outcomes of random measurements, Phys. Rev. A 94
2016
Cited alongside, same era.
P. Reimann, Typical fast thermalization processes in closed many-body systems, Nat. Comm. 7
2016
Cited alongside, same era.
2019
Later among the works it cites.
A. Chan, R. M. Nandkishore, M. Pretko, and G. Smith, Unitary-projective entanglement dynamics, Phys. Rev. B 99
2019
Later among the works it cites.
A. Browaeys and T. Lahaye, Many-body physics with individually controlled Rydberg atoms, Nat. Phys. 16
2020
Later among the works it cites.
M. Kjaergaard, M. E. Schwartz, J. Braumüller, P. Krantz, J. I.-J. Wang, S. Gustavsson, and W. D. Oliver, Superconducting Qubits: Current State of Play, Ann. Rev. Cond. Matter Phys. 11
2020
Later among the works it cites.
M. K. Joshi, A. Elben, B. Vermersch, T. Brydges, C. Maier, P. Zoller, R. Blatt, and C. F. Roos, Quantum Information Scrambling in a Trapped-Ion Quantum Simulator with Tunable Range Interactions, Phys. Rev. Lett. 124
2020
Later among the works it cites.
H.-Y. Huang, R. Kueng, and J. Preskill, Predicting many properties of a quantum system from very few measurements, Nat. Phys. 16
2020
Later among the works it cites.
Y. Zhou, P. Zeng, and Z. Liu, Single-copies estimation of entanglement negativity, Phys. Rev. Lett. 125
2020
Later among the works it cites.
L. Knips, J. Dziewior, W. Kłobus, W. Laskowski, T. Paterek, P. J. Shadbolt, H. Weinfurter, and J. D. A. Meinecke, Multipartite entanglement analysis from random correlations, npj Quantum Inf. 6
2020
Later among the works it cites.
X. Mi, B. Vermersch, A. Elben, P. Roushan, Y. Chen, P. Zoller, and V. Smelyanskiy, Renyi Entropy Benchmarking of Superconducting Qubits, Bulletin of the American Physical Society (2020)
2020
Later among the works it cites.
D. V. Vasilyev, A. Grankin, M. A. Baranov, L. M. Sieberer, and P. Zoller, Monitoring quantum simulators via quantum nondemolition couplings to atomic clock qubits, PRX Quantum 1
2020
Later among the works it cites.
J. Šuntajs, J. Bonča, T. c. v. Prosen, and L. Vidmar, Quantum chaos challenges many-body localization, Phys. Rev. E 102
2020
Later among the works it cites.
Nivedita, H. Shackleton, and S. Sachdev, Spectral form factors of clean and random quantum ising chains, Phys. Rev. E 101
2020
Later among the works it cites.
Y. Liao, A. Vikram, and V. Galitski, Many-body level statistics of single-particle quantum chaos, Phys. Rev. Lett. 125
2020
Later among the works it cites.
M. Winer, S.-K. Jian, and B. Swingle, Exponential ramp in the quadratic sachdev-ye-kitaev model, Phys. Rev. Lett. 125
2020
Later among the works it cites.
Z. Gong, C. Sünderhauf, N. Schuch, and J. I. Cirac, Classification of Matrix-Product Unitaries with Symmetries, Phys. Rev. Lett. 124
2020
Later among the works it cites.
J. Eisert, D. Hangleiter, N. Walk, I. Roth, D. Markham, R. Parekh, U. Chabaud, and E. Kashefi, Quantum certification and benchmarking, Nat. Rev. Phys. 2
2020
Later among the works it cites.
C. Monroe, W. Campbell, L.-M. Duan, Z.-X. Gong, A. Gorshkov, P. Hess, R. Islam, K. Kim, N. Linke, G. Pagano, et al. , Programmable quantum simulations of spin systems with trapped ions, Rev. Mod. Phys. 93
2021
Closest in time.
J. Vovrosh and J. Knolle, Confinement and entanglement dynamics on a digital quantum computer, Sci. Rep. 11
2021
Closest in time.
X. Mi, P. Roushan, et al. , Information scrambling in quantum circuits, Science 374
2021
Closest in time.
A. Prakash, J. H. Pixley, and M. Kulkarni, Universal spectral form factor for many-body localization, Phys. Rev. Research 3
2021
Closest in time.
Z.-P. Cian, H. Dehghani, A. Elben, B. Vermersch, G. Zhu, M. Barkeshli, P. Zoller, and M. Hafezi, Many-Body Chern Number from Statistical Correlations of Randomized Measurements, Phys. Rev. Lett. 126
2021
Closest in time.
2021
Closest in time.
R. J. Garcia, Y. Zhou, and A. Jaffe, Quantum scrambling with classical shadows, Phys. Rev. Res. 3
2021
Closest in time.
A. Rath, R. van Bijnen, A. Elben, P. Zoller, and B. Vermersch, Importance sampling of randomized measurements for probing entanglement, Phys. Rev. Lett. 127
2021
Closest in time.
X.-D. Yu, S. Imai, and O. Gühne, Optimal entanglement certification from moments of the partial transpose, Phys. Rev. Lett. 127
2021
Closest in time.
A. Neven, J. Carrasco, V. Vitale, C. Kokail, A. Elben, M. Dalmonte, P. Calabrese, P. Zoller, B. Vermersch, R. Kueng, and B. Kraus, Symmetry-resolved entanglement detection using partial transpose moments, Npj Quantum Inf. 7
2021
Closest in time.
S. Imai, N. Wyderka, A. Ketterer, and O. Gühne, Bound entanglement from randomized measurements, Phys. Rev. Lett. 126
2021
Closest in time.
K. J. Satzinger et al. , Realizing topologically ordered states on a quantum processor, Science 374
2021
Closest in time.
D. Abanin, J. Bardarson, G. De Tomasi, S. Gopalakrishnan, V. Khemani, S. Parameswaran, F. Pollmann, A. Potter, M. Serbyn, and R. Vasseur, Distinguishing localization from chaos: Challenges in finite-size systems, Ann. Phys. 427
2021
Closest in time.
S. J. Garratt and J. T. Chalker, Local pairing of feynman histories in many-body floquet models, Phys. Rev. X 11
2021
Closest in time.
F. Monteiro, M. Tezuka, A. Altland, D. A. Huse, and T. Micklitz, Quantum ergodicity in the many-body localization problem, Phys. Rev. Lett. 127
2021
Closest in time.
H.-Y. Huang, R. Kueng, and J. Preskill, Efficient estimation of pauli observables by derandomization, Phys. Rev. Lett. 127
2021
Closest in time.
J. Vovrosh, K. E. Khosla, S. Greenaway, C. Self, M. S. Kim, and J. Knolle, Simple mitigation of global depolarizing errors in quantum simulations, Phys. Rev. E 104
2021
Closest in time.
S. Chen, W. Yu, P. Zeng, and S. T. Flammia, Robust shadow estimation, PRX Quantum 2
2021
Closest in time.
2021
Closest in time.
2021
Closest in time.
2021
Closest in time.
J. Carrasco, A. Elben, C. Kokail, B. Kraus, and P. Zoller, Theoretical and experimental perspectives of quantum verification, PRX Quantum 2
2021
Closest in time.