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We introduce a method that allows one to infer many properties of a quantum state -- including nonlinear functions such as R\'enyi entropies -- using only global control over the constituent degrees of freedom.
Y. Manin, Computable and uncomputable (Sovetskoye Radio Press, 1980) in Russian
1980
Earlier work this paper cites.
R. P. Feynman, Simulating physics with computers, Int J Theor Phys 21
1982
Earlier work this paper cites.
S. Lloyd, Universal quantum simulators, Science 273
1996
Earlier work this paper cites.
M. Ledoux, The Concentration of Measure Phenomenon , Mathematical surveys and monographs (American Mathematical Society, 2001)
2001
Earlier work this paper cites.
M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms, Nature 415
2002
Earlier work this paper cites.
G. Vidal and R. F. Werner, Computable measure of entanglement, Phys. Rev. A 65
2002
Earlier work this paper cites.
B. Paredes, A. Widera, V. Murg, O. Mandel, S. Fölling, I. Cirac, G. V. Shlyapnikov, T. W. Hänsch, and I. Bloch, Tonks–Girardeau gas of ultracold atoms in an optical lattice, Nature 429
2004
Earlier work this paper cites.
J. M. Renes, R. Blume-Kohout, A. J. Scott, and C. M. Caves, Symmetric informationally complete quantum measurements, Journal of Mathematical Physics 45
2004
Earlier work this paper cites.
J. Emerson, R. Alicki, and K. Życzkowski, Scalable noise estimation with random unitary operators, Journal of Optics B: Quantum and Semiclassical Optics 7
2005
Earlier work this paper cites.
M. B. Plenio, Logarithmic negativity: A full entanglement monotone that is not convex, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
A. J. Scott, Tight informationally complete quantum measurements, J. Phys. A 39
2006
Earlier work this paper cites.
A. Ambainis and J. Emerson, Quantum t t -designs: t t -wise independence in the quantum world (2007), arXiv:quant-ph/0701126
2007
Earlier work this paper cites.
A. W. Harrow and R. A. Low, Random quantum circuits are approximate 2-designs, Communications in Mathematical Physics 291
2009
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.
R. A. Low, Large deviation bounds for k k -designs, Proc. Roy. Soc. A 465
2009
Earlier work this paper cites.
H. Weimer, M. Müller, I. Lesanovsky, P. Zoller, and H. P. Büchler, A Rydberg quantum simulator, Nature Physics 6
2010
Earlier work this paper cites.
M. C. Bañuls, J. I. Cirac, and M. B. Hastings, Strong and weak thermalization of infinite nonintegrable quantum systems, Phys. Rev. Lett. 106
2011
Earlier work this paper cites.
I. Bloch, J. Dalibard, and S. Nascimbene, Quantum simulations with ultracold quantum gases, Nature Physics 8
2012
Earlier work this paper cites.
B. Buča and T. Prosen, A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains, New Journal of Physics 14
2012
Earlier work this paper cites.
M. Aidelsburger, M. Atala, M. Lohse, J. T. Barreiro, B. Paredes, and I. Bloch, Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices, Phys. Rev. Lett. 111
2013
Cited alongside, same era.
H. Kim and D. A. Huse, Ballistic spreading of entanglement in a diffusive nonintegrable system, Phys. Rev. Lett. 111
2013
Cited alongside, same era.
S. Gammelmark, B. Julsgaard, and K. Mølmer, Past quantum states of a monitored system, Phys. Rev. Lett. 111
2013
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.
M. Schreiber, S. S. Hodgman, P. Bordia, H. P. Lüschen, M. H. Fischer, R. Vosk, E. Altman, U. Schneider, and I. Bloch, Observation of many-body localization of interacting fermions in a quasirandom optical lattice, Science 349
T. Brydges, A. Elben, P. Jurcevic, B. Vermersch, C. Maier, B. P. Lanyon, P. Zoller, R. Blatt, and C. F. Roos, Probing Rényi entanglement entropy via randomized measurements, Science 364
2019
Later among the works it cites.
S. Gopalakrishnan and A. Lamacraft, Unitary circuits of finite depth and infinite width from quantum channels, Phys. Rev. B 100
2019
Later among the works it cites.
A. Browaeys and T. Lahaye, Many-body physics with individually controlled Rydberg atoms, Nature Physics 16
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, Nature Physics 16
2020
Later among the works it cites.
A. Elben, R. Kueng, H.-Y. R. Huang, R. van Bijnen, C. Kokail, M. Dalmonte, P. Calabrese, B. Kraus, J. Preskill, P. Zoller, and B. Vermersch, Mixed-state entanglement from local randomized measurements, Phys. Rev. Lett. 125
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2015
Cited alongside, same era.
D. Barredo, S. de Léséleuc, V. Lienhard, T. Lahaye, and A. Browaeys, An atom-by-atom assembler of defect-free arbitrary two-dimensional atomic arrays, Science 354
2016
Cited alongside, same era.
M. Endres, H. Bernien, A. Keesling, H. Levine, E. R. Anschuetz, A. Krajenbrink, C. Senko, V. Vuletic, M. Greiner, and M. D. Lukin, Atom-by-atom assembly of defect-free one-dimensional cold atom arrays, Science 354
2016
Cited alongside, same era.
J. yoon Choi, S. Hild, J. Zeiher, P. Schauß, A. Rubio-Abadal, T. Yefsah, V. Khemani, D. A. Huse, I. Bloch, and C. Gross, Exploring the many-body localization transition in two dimensions, Science 352
2016
Cited alongside, same era.
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.
P. Hosur, X.-L. Qi, D. A. Roberts, and B. Yoshida, Chaos in quantum channels, Journal of High Energy Physics 2016
2016
Cited alongside, same era.
Z. Webb, The clifford group forms a unitary 3-design, Quantum Info. Comput. 16
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.
2020
Later among the works it cites.
S. Ebadi, T. T. Wang, H. Levine, A. Keesling, G. Semeghini, A. Omran, D. Bluvstein, R. Samajdar, H. Pichler, W. W. Ho, et al. , Quantum phases of matter on a 256-atom programmable quantum simulator, Nature 595
2021
Later among the works it cites.
2021
Later among the works it cites.
2021
Later among the works it cites.
P. N. Jepsen, Y. K. Lee, H. Lin, I. Dimitrova, Y. Margalit, W. W. Ho, and W. Ketterle, Long-lived phantom helix states in heisenberg quantum magnets, Nature Physics 18
2022
Closest in time.
2022
Closest in time.
W. W. Ho and S. Choi, Exact emergent quantum state designs from quantum chaotic dynamics, Phys. Rev. Lett. 128
2022
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P. W. Claeys and A. Lamacraft, Emergent quantum state designs and biunitarity in dual-unitary circuit dynamics, Quantum 6
2022
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2022
Closest in time.
2022
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2022
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M. Tran, D. K. Mark, W.-W. Ho, S. Choi, same arXiv posting (2022)
2022
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T. S. Ferguson, U U -statistics, lecture notes for statistics 200B, UCLA (2003), accessed August 2022
2022
Closest in time.
M. McGinley, S. Leontica, S. J. Garratt, J. Jovanovic, and S. H. Simon, Quantifying information scrambling via classical shadow tomography on programmable quantum simulators, Phys. Rev. A 106
2022
Closest in time.