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Treating the infinite-dimensional Hilbert space of non-abelian gauge theories is an outstanding challenge for classical and quantum simulations.
A. P. Yutsis, I. B. Levinson, and V. V. Vanagas, Mathematical apparatus of the theory of angular momentum, Academy of Sciences of the Lithuanian SS R (1962)
1962
Earlier work this paper cites.
A. Messiah, Quantum mechanics, vol. ii (1962)
1962
Earlier work this paper cites.
F. J. Wegner, Duality in generalized ising models and phase transitions without local order parameters, Journal of Mathematical Physics 12
1971
Earlier work this paper cites.
K. G. Wilson, Confinement of quarks, Physical review D 10
1974
Earlier work this paper cites.
J. Kogut and L. Susskind, Hamiltonian formulation of wilson’s lattice gauge theories, Physical Review D 11
1975
Earlier work this paper cites.
J. B. Kogut, An introduction to lattice gauge theory and spin systems, Reviews of Modern Physics 51
1979
Earlier work this paper cites.
D. Robson and D. Webber, Gauge theories on a small lattice, Zeitschrift für Physik C Particles and Fields 7
1980
Earlier work this paper cites.
D. Robson and D. Webber, Gauge covariance in lattice field theories, Zeitschrift für Physik C Particles and Fields 15
1982
Earlier work this paper cites.
B. Svetitsky and L. G. Yaffe, Critical behavior at finite-temperature confinement transitions, Nuclear Physics B 210
1982
Earlier work this paper cites.
C. Hamer, A. Irving, and T. Preece, Cluster expansion approach to non-abelian lattice gauge theory in (3+ 1) d (ii). su (3), Nuclear Physics B 270
1986
Earlier work this paper cites.
A. Kirillow and N. Y. Reshetikhin, Representations of the algebra u.(sl (2)), q-orthogonal, Infinite dimensional Lie algebras and groups 7
1989
Earlier work this paper cites.
L. Biedenharn, The quantum group suq (2) and a q-analogue of the boson operators, Journal of Physics A: Mathematical and General 22
1989
Earlier work this paper cites.
I. Montvay and G. Münster, Quantum fields on a lattice (Cambridge University Press, 1994)
1994
Earlier work this paper cites.
L. C. Biedenharn and M. A. Lohe, Quantum group symmetry and q-tensor algebras (World Scientific, 1995)
1995
Earlier work this paper cites.
M. J. Teper, Su (n) gauge theories in 2+ 1 dimensions, Physical Review D 59
1998
Earlier work this paper cites.
A. Muthukrishnan and C. R. Stroud Jr, Multivalued logic gates for quantum computation, Physical review A 62
2000
Earlier work this paper cites.
A. Y. Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics 303
2003
Earlier work this paper cites.
C. T. Davies, E. Follana, A. Gray, G. Lepage, Q. Mason, M. Nobes, J. Shigemitsu, H. Trottier, M. Wingate, C. Aubin, et al. , High-precision lattice qcd confronts experiment, Physical Review Letters 92
2004
Earlier work this paper cites.
M. A. Levin and X.-G. Wen, String-net condensation: A physical mechanism for topological phases, Physical Review B 71
2005
Earlier work this paper cites.
M. Troyer and U.-J. Wiese, Computational complexity and fundamental limitations to fermionic quantum monte carlo simulations, Physical review letters 94
2005
Earlier work this paper cites.
M. Mathur, Harmonic oscillator pre-potentials in su (2) lattice gauge theory, Journal of Physics A: Mathematical and General 38
2005
Earlier work this paper cites.
T. Byrnes and Y. Yamamoto, Simulating lattice gauge theories on a quantum computer, Physical Review A 73
2006
Earlier work this paper cites.
J. W. Cherrington, J. D. Christensen, and I. Khavkine, Dual computations of non-abelian yang-mills theories on the lattice, Physical Review D 76
2007
Earlier work this paper cites.
Z.-C. Gu, M. Levin, B. Swingle, and X.-G. Wen, Tensor-product representations for string-net condensed states, Physical Review B 79
2009
Earlier work this paper cites.
O. Buerschaper, M. Aguado, and G. Vidal, Explicit tensor network representation for the ground states of string-net models, Physical Review B 79
2009
Earlier work this paper cites.
R. Koenig, G. Kuperberg, and B. W. Reichardt, Quantum computation with turaev–viro codes, Annals of Physics 325
2010
Earlier work this paper cites.
N. Bonesteel and D. DiVincenzo, Quantum circuits for measuring levin-wen operators, Physical Review B 86
2012
Earlier work this paper cites.
Y. Liu, Y. Meurice, M. Qin, J. Unmuth-Yockey, T. Xiang, Z. Xie, J. Yu, and H. Zou, Exact blocking formulas for spin and gauge models, Physical Review D 88
2013
Earlier work this paper cites.
L. Tagliacozzo, A. Celi, and M. Lewenstein, Tensor networks for lattice gauge theories with continuous groups, Physical Review X 4
2014
Cited alongside, same era.
C. Rovelli and F. Vidotto, Covariant loop quantum gravity: an elementary introduction to quantum gravity and spinfoam theory (Cambridge University Press, 2015)
2015
Cited alongside, same era.
E. Zohar and M. Burrello, Formulation of lattice gauge theories for quantum simulations, Physical Review D 91
2015
Cited alongside, same era.
S. Dusuel and J. Vidal, Mean-field ansatz for topological phases with string tension, Physical Review B 92
2015
Cited alongside, same era.
E. A. Martinez, C. A. Muschik, P. Schindler, D. Nigg, A. Erhard, M. Heyl, P. Hauke, M. Dalmonte, T. Monz, P. Zoller, et al. , Real-time dynamics of lattice gauge theories with a few-qubit quantum computer, Nature 534
2016
Z. Davoudi, I. Raychowdhury, and A. Shaw, Search for efficient formulations for hamiltonian simulation of non-abelian lattice gauge theories, Physical Review D 104
2021
Later among the works it cites.
D. Robaina, M. C. Bañuls, and J. I. Cirac, Simulating 2+ 1 d z 3 lattice gauge theory with an infinite projected entangled-pair state, Physical Review Letters 126
2021
Later among the works it cites.
L. Cohen, A. J. Brady, Z. Huang, H. Liu, D. Qu, J. P. Dowling, and M. Han, Efficient simulation of loop quantum gravity: A scalable linear-optical approach, Physical Review Letters 126
2021
Later among the works it cites.
A. M. Somoza, P. Serna, and A. Nahum, Self-dual criticality in three-dimensional z 2 gauge theory with matter, Physical Review X 11
2021
Later among the works it cites.
G. Magnifico, T. Felser, P. Silvi, and S. Montangero, Lattice quantum electrodynamics in (3+ 1)-dimensions at finite density with tensor networks, Nature communications 12
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Cited alongside, same era.
K. Liegener and T. Thiemann, Towards the fundamental spectrum of the quantum yang-mills theory, Physical Review D 94
2016
Cited alongside, same era.
B. Dittrich, S. Mizera, and S. Steinhaus, Decorated tensor network renormalization for lattice gauge theories and spin foam models, New Journal of Physics 18
2016
Cited alongside, same era.
E. Zohar, A. Farace, B. Reznik, and J. I. Cirac, Digital lattice gauge theories, Physical Review A 95
2017
Cited alongside, same era.
L. Vanderstraeten, M. Mariën, J. Haegeman, N. Schuch, J. Vidal, and F. Verstraete, Bridging perturbative expansions with tensor networks, Physical review letters 119
2017
Cited alongside, same era.
B. Dittrich and M. Geiller, Quantum gravity kinematics from extended tqfts, New Journal of Physics 19
2017
Cited alongside, same era.
N. Klco, E. F. Dumitrescu, A. J. McCaskey, T. D. Morris, R. C. Pooser, M. Sanz, E. Solano, P. Lougovski, and M. J. Savage, Quantum-classical computation of schwinger model dynamics using quantum computers, Physical Review A 98
2018
Cited alongside, same era.
D. Banerjee, F.-J. Jiang, T. Olesen, P. Orland, and U.-J. Wiese, From the s u (2) quantum link model on the honeycomb lattice to the quantum dimer model on the kagome lattice: Phase transition and fractionalized flux strings, Physical Review B 97
2018
Cited alongside, same era.
2021
Later among the works it cites.
Y. Meurice, R. Sakai, and J. Unmuth-Yockey, Tensor lattice field theory for renormalization and quantum computing, Reviews of Modern Physics 94
2022
Later among the works it cites.
S. Montangero, E. Rico, and P. Silvi, Loop-free tensor networks for high-energy physics, Philosophical Transactions of the Royal Society A 380
2022
Later among the works it cites.
M. Aidelsburger, L. Barbiero, A. Bermudez, T. Chanda, A. Dauphin, D. González-Cuadra, P. R. Grzybowski, S. Hands, F. Jendrzejewski, J. Jünemann, et al. , Cold atoms meet lattice gauge theory, Philosophical Transactions of the Royal Society A 380
2022
Later among the works it cites.
E. Zohar, Quantum simulation of lattice gauge theories in more than one space dimension—requirements, challenges and methods, Philosophical Transactions of the Royal Society A 380
2022
Later among the works it cites.
U.-J. Wiese, From quantum link models to d-theory: a resource efficient framework for the quantum simulation and computation of gauge theories, Philosophical Transactions of the Royal Society A 380
2022
Later among the works it cites.
Z.-Y. Zhou, G.-X. Su, J. C. Halimeh, R. Ott, H. Sun, P. Hauke, B. Yang, Z.-S. Yuan, J. Berges, and J.-W. Pan, Thermalization dynamics of a gauge theory on a quantum simulator, Science 377
2022
Later among the works it cites.
N. H. Nguyen, M. C. Tran, Y. Zhu, A. M. Green, C. H. Alderete, Z. Davoudi, and N. M. Linke, Digital quantum simulation of the schwinger model and symmetry protection with trapped ions, PRX Quantum 3
2022
Later among the works it cites.
2022
Later among the works it cites.
A. Frölian, C. S. Chisholm, E. Neri, C. R. Cabrera, R. Ramos, A. Celi, and L. Tarruell, Realizing a 1d topological gauge theory in an optically dressed bec, Nature 608
2022
Later among the works it cites.
2022
Later among the works it cites.
A. J. Daley, I. Bloch, C. Kokail, S. Flannigan, N. Pearson, M. Troyer, and P. Zoller, Practical quantum advantage in quantum simulation, Nature 607
2022
Later among the works it cites.
H. Liu and S. Chandrasekharan, Qubit regularization and qubit embedding algebras, Symmetry 14
2022
Later among the works it cites.
M. Kreshchuk, W. M. Kirby, G. Goldstein, H. Beauchemin, and P. J. Love, Quantum simulation of quantum field theory in the light-front formulation, Physical Review A 105
2022
Later among the works it cites.
Y. Tong, V. V. Albert, J. R. McClean, J. Preskill, and Y. Su, Provably accurate simulation of gauge theories and bosonic systems, Quantum 6
2022
Later among the works it cites.
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.
D. González-Cuadra, T. V. Zache, J. Carrasco, B. Kraus, and P. Zoller, Hardware efficient quantum simulation of non-abelian gauge theories with qudits on rydberg platforms, Physical Review Letters 129
2022
Later among the works it cites.
Y.-J. Liu, K. Shtengel, A. Smith, and F. Pollmann, Methods for simulating string-net states and anyons on a digital quantum computer, PRX Quantum 3
2022
Later among the works it cites.
2023
Closest in time.
D. González-Cuadra, D. Bluvstein, M. Kalinowski, R. Kaubruegger, N. Maskara, P. Naldesi, T. V. Zache, A. M. Kaufman, M. D. Lukin, H. Pichler, B. Vermersch, J. Ye, and P. Zoller, Fermionic quantum processing with programmable neutral atom arrays (2023)
2023
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T. V. Zache, D. González-Cuadra, and P. Zoller, Fermion-qudit quantum processors for simulating lattice gauge theories with matter (2023)
2023
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P. Emonts, A. Kelman, U. Borla, S. Moroz, S. Gazit, and E. Zohar, Finding the ground state of a lattice gauge theory with fermionic tensor networks: A 2+ 1 d z 2 demonstration, Physical Review D 107
2023
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