Fetching the paper…
Reading the bibliography…
The simulation of real-time dynamics in lattice gauge theories is particularly hard for classical computing due to the exponential scaling of the required resources.
Paul Adrien Maurice Dirac, “The quantum theory of the emission and absorption of radiation,” Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character 114
1927
Earlier work this paper cites.
P. Jordan and E. Wigner, “Über das Paulische Äquivalenzverbot,” Zeitschrift für Physik 47
1928
Earlier work this paper cites.
Hale F Trotter, “On the product of semi-groups of operators,” Proceedings of the American Mathematical Society 10
1959
Earlier work this paper cites.
Julian Schwinger, “Gauge invariance and mass,” Physical Review 125
1962
Earlier work this paper cites.
David J Gross and Frank Wilczek, “Ultraviolet behavior of non-abelian gauge theories,” Physical Review Letters 30
1973
Earlier work this paper cites.
Kenneth G. Wilson, “Confinement of quarks,” Physical Review D 10
1974
Earlier work this paper cites.
John Kogut and Leonard Susskind, “Hamiltonian formulation of Wilson’s lattice gauge theories,” Physical Review D 11
1975
Earlier work this paper cites.
Masuo 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.
Leonard Susskind, “Lattice fermions,” Physical Review D 16
1977
Earlier work this paper cites.
John B Kogut, “An introduction to lattice gauge theory and spin systems,” Reviews of Modern Physics 51
1979
Earlier work this paper cites.
H.B. Nielsen and M. Ninomiya, “Absence of neutrinos on a lattice: (I). Proof by homotopy theory,” Nuclear Physics B 185
1981
Earlier work this paper cites.
Richard P. Feynman, “Simulating physics with computers,” International Journal of Theoretical Physics 21
1982
Earlier work this paper cites.
John B Kogut, “The lattice gauge theory approach to quantum chromodynamics,” Reviews of Modern Physics 55
1983
Earlier work this paper cites.
Michael Creutz, Laurence Jacobs, and Claudio Rebbi, “Monte carlo computations in lattice gauge theories,” Physics Reports 95
1983
Earlier work this paper cites.
Bijan Sheikholeslami and Ralf Wohlert, “Improved continuum limit lattice action for qcd with wilson fermions,” Nuclear Physics B 259
1985
Earlier work this paper cites.
Ian Affleck, Z Zou, T Hsu, and PW Anderson, “Su (2) gauge symmetry of the large-u limit of the hubbard model,” Physical Review B 38
1988
Earlier work this paper cites.
G. Baskaran and P. W. Anderson, “Gauge theory of high-temperature superconductors and strongly correlated fermi systems,” Phys. Rev. B 37
1988
Earlier work this paper cites.
Hagen Kleinert, Gauge Fields in Condensed Matter: Vol. 1: Superflow and Vortex Lines (Disorder Fields, Phase Transitions) Vol. 2: Stresses and Defects (Differential Geometry, Crystal Melting) (World Scientific, 1989)
1989
Earlier work this paper cites.
Claude Itzykson and Jean-Michel Drouffe, Statistical field theory: volume 1 , Vol. 1 (Cambridge University Press, 1989)
1989
Earlier work this paper cites.
Michael E Peskin and Daniel V Schroeder, An Introduction to Quantum Field Theory (Boulder, CO (Westview Press, 1995)
1995
Earlier work this paper cites.
Steven Weinberg, The Quantum Theory of Fields. Vol. 1: Foundations (Cambridge University Press, 1995)
1995
Earlier work this paper cites.
Steven Weinberg, The Quantum Theory of Fields , Vol. 1 (Cambridge University Press, 1995)
1995
Earlier work this paper cites.
G Boyd, Jürgen Engels, Frithjof Karsch, Edwin Laermann, C Legeland, M Lütgemeier, and Bengt Petersson, “Thermodynamics of su (3) lattice gauge theory,” arXiv preprint hep-lat/9602007 (1996)
1996
Earlier work this paper cites.
S Chandrasekharan and U.-J Wiese, “Quantum link models: A discrete approach to gauge theories,” Nuclear Physics B 492
1997
Earlier work this paper cites.
Martin Lüscher, “Exact chiral symmetry on the lattice and the ginsparg-wilson relation,” Physics Letters B 428
1998
Earlier work this paper cites.
R. Brower, S. Chandrasekharan, and U.-J. Wiese, “QCD as a quantum link model,” Physical Review D 60
1999
Earlier work this paper cites.
Jan Smit, Introduction to Quantum Fields on a Lattice (Cambridge University Press, 2002)
2002
Earlier work this paper cites.
Michael A Nielsen and Isaac Chuang, “Quantum computation and quantum information,” (2002)
2002
Earlier work this paper cites.
Sergey B. Bravyi and Alexei Yu Kitaev, “Fermionic quantum computation,” Annals of Physics 298
2002
Earlier work this paper cites.
A.Yu. Kitaev, “Fault-tolerant quantum computation by anyons,” Annals of Physics 303
2003
Earlier work this paper cites.
Henrik Bruus and Karsten Flensberg, Many-body quantum theory in condensed matter physics: an introduction (Oxford university press, 2004)
2004
Cited alongside, same era.
HP Büchler, M Hermele, Sebastian D Huber, Matthew PA Fisher, and P Zoller, “Atomic quantum simulator for lattice gauge theories and ring exchange models,” Physical review letters 95
2005
Cited alongside, same era.
Sung-Sik Lee and Patrick A. Lee, “U(1) gauge theory of the hubbard model: Spin liquid states and possible application to κ − ( BEDT − TTF ) 2 cu 2 ( CN ) 3 \kappa\mathrm{\text{$-$}}(\mathrm{BEDT}\mathrm{\text{$-$}}\mathrm{TTF}{)}_{2}{\mathrm{cu}}_{2}(\mathrm{CN}{)}_{3} ,” Phys. Rev. Lett. 95
2005
Cited alongside, same era.
Heinz J Rothe, Lattice Gauge Theories: An Introduction Third Edition , Vol. 74 (World Scientific Publishing Company, 2005)
2005
Cited alongside, same era.
Mattia Dalla Brida, Patrick Fritzsch, Tomasz Korzec, Alberto Ramos, Stefan Sint, and Rainer Sommer (ALPHA Collaboration), “Determination of the qcd Λ \mathrm{\Lambda} parameter and the accuracy of perturbation theory at high energies,” Phys. Rev. Lett. 117
2016
Later among the works it cites.
Thomas Pichler, Marcello Dalmonte, Enrique Rico, Peter Zoller, and Simone Montangero, “Real-time dynamics in u (1) lattice gauge theories with tensor networks,” Physical Review X 6
2016
Later among the works it cites.
Thomas Monz, Alexander Erhard, Esteban A. Martinez, Christine A. Muschik, Markus Heyl, Rainer Blatt, Marcello Dalmonte, Philipp Schindler, Philipp Hauke, Daniel Nigg, and Peter Zoller, “Real-time dynamics of lattice gauge theories with a few-qubit quantum computer,” Nature 534
2016
Later among the works it cites.
Marcello Dalmonte and Simone Montangero, “Lattice gauge theory simulations in the quantum information era,” Contemporary Physics 57
2016
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Naomichi Hatano and Masuo Suzuki, “Finding Exponential Product Formulas of Higher Orders,” Lecture Notes in Physics , 37–68 (2005)
2005
Cited alongside, same era.
Richard Phillips Feynman, QED: The strange theory of light and matter (Princeton University Press, 2006)
2006
Cited alongside, same era.
Tim Byrnes and Yoshihisa Yamamoto, “Simulating lattice gauge theories on a quantum computer,” Physical Review A 73
2006
Cited alongside, same era.
Francis Halzen and Alan D Martin, Quark & Leptons: An Introductory Course In Modern Particle Physics (John Wiley & Sons, 2008)
2008
Cited alongside, same era.
Esteban A Calzetta and Bei-Lok B Hu, “Nonequilibrium quantum field theory,” Nonequilibrium Quantum Field Theory, by Esteban A. Calzetta, Bei-Lok B. Hu, Cambridge, UK: Cambridge University Press, 2008 (2008)
2008
Cited alongside, same era.
A. Bazavov, D. Toussaint, C. Bernard, J. Laiho, C. DeTar, L. Levkova, M. B. Oktay, Steven Gottlieb, U. M. Heller, J. E. Hetrick, P. B. Mackenzie, R. Sugar, and R. S. Van de Water, “Nonperturbative qcd simulations with 2 + 1 2+1 flavors of improved staggered quarks,” Rev. Mod. Phys. 82
2010
Cited alongside, same era.
Ivan Kassal, James D Whitfield, Alejandro Perdomo-Ortiz, Man-Hong Yung, and Alán Aspuru-Guzik, “Simulating chemistry using quantum computers,” Annual review of physical chemistry 62
2011
Cited alongside, same era.
Stephen P Jordan, Keith S M Lee, and John Preskill, “Quantum algorithms for quantum field theories,” Science 336
2012
Cited alongside, same era.
Giovanni (ETH Zurich) Felder, “Mathematische Methoden der Physik II (Vorlesungsskript),” (2016)
2016
Later among the works it cites.
Yi Zhou, Kazushi Kanoda, and Tai-Kai Ng, “Quantum spin liquid states,” Rev. Mod. Phys. 89
2017
Later among the works it cites.
Mattia Dalla Brida, Patrick Fritzsch, Tomasz Korzec, Alberto Ramos, Stefan Sint, and Rainer Sommer, “Slow running of the gradient flow coupling from 200 mev to 4 gev in N f = 3 {N}_{\mathrm{f}}=3 qcd,” Phys. Rev. D 95
2017
Later among the works it cites.
Christine Muschik, Thomas Monz, Berit Vogell, Markus Heyl, Christine Muschik, Rainer Blatt, Marcello Dalmonte, Philipp Schindler, Esteban Martinez, Philipp Hauke, and Peter Zoller, “U(1) Wilson lattice gauge theories in digital quantum simulators,” New Journal of Physics 19
2017
Later among the works it cites.
Erez Zohar, Alessandro Farace, Benni Reznik, and J Ignacio Cirac, “Digital quantum simulation of z 2 lattice gauge theories with dynamical fermionic matter,” Physical review letters 118
2017
Later among the works it cites.
2017
Later among the works it cites.
Abhinav Kandala, Antonio Mezzacapo, Kristan Temme, Maika Takita, Markus Brink, Jerry M. Chow, and Jay M. Gambetta, “Hardware efficient variational quantum eigensolver for small molecules and quantum magnets,” Nature 549
2017
Later among the works it cites.
M. Tanabashi, K. Hagiwara, K. Hikasa, K. Nakamura, Y. Sumino, F. Takahashi, J. Tanaka, K. Agashe, G. Aielli, C. Amsler, M. Antonelli, D. M. Asner, H. Baer, Sw Banerjee, R. M. Barnett, T. Basaglia, C. W. Bauer, J. J. Beatty, V. I. Belousov, J. Beringer, S. Bethke, A. Bettini, H. Bichsel, O. Biebel, K. M. Black, E. Blucher, O. Buchmuller, V. Burkert, M. A. Bychkov, R. N. Cahn, M. Carena, A. Ceccucci, A. Cerri, D. Chakraborty, M. C. Chen, R. S. Chivukula, G. Cowan, O. Dahl, G. D’Ambrosio, T. Damour, D. De Florian, A. De Gouvêa, T. Degrand, P. De Jong, G. Dissertori, B. A. Dobrescu, M. D’Onofrio, M. Doser, M. Drees, H. K. Dreiner, D. A. Dwyer, P. Eerola, S. Eidelman, J. Ellis, J. Erler, V. V. Ezhela, W. Fetscher, B. D. Fields, R. Firestone, B. Foster, A. Freitas, H. Gallagher, L. Garren, H. J. Gerber, G. Gerbier, T. Gershon, Y. Gershtein, T. Gherghetta, A. A. Godizov, M. Goodman, C. Grab, A. V. Gritsan, C. Grojean, D. E. Groom, M. Grünewald, A. Gurtu, T. Gutsche, H. E. Haber, C. Hanhart, S. Hashimoto, Y. Hayato, K. G. Hayes, A. Hebecker, S. Heinemeyer, B. Heltsley, J. J. Hernández-Rey, J. Hisano, A. Höcker, J. Holder, A. Holtkamp, T. Hyodo, K. D. Irwin, K. F. Johnson, M. Kado, M. Karliner, U. F. Katz, S. R. Klein, E. Klempt, R. V. Kowalewski, F. Krauss, M. Kreps, B. Krusche, Yu V. Kuyanov, Y. Kwon, O. Lahav, J. Laiho, J. Lesgourgues, A. Liddle, Z. Ligeti, C. J. Lin, C. Lippmann, T. M. Liss, L. Littenberg, K. S. Lugovsky, S. B. Lugovsky, A. Lusiani, Y. Makida, F. Maltoni, T. Mannel, A. V. Manohar, W. J. Marciano, A. D. Martin, A. Masoni, J. Matthews, U. G. Meißner, D. Milstead, R. E. Mitchell, K. Mönig, P. Molaro, F. Moortgat, M. Moskovic, H. Murayama, M. Narain, P. Nason, S. Navas, M. Neubert, P. Nevski, Y. Nir, K. A. Olive, S. Pagan Griso, J. Parsons, C. Patrignani, J. A. Peacock, M. Pennington, S. T. Petcov, V. A. Petrov, E. Pianori, A. Piepke, A. Pomarol, A. Quadt, J. Rademacker, G. Raffelt, B. N. Ratcliff, P. Richardson, A. Ringwald, S. Roesler, S. Rolli, A. Romaniouk, L. J. Rosenberg, J. L. Rosner, G. Rybka, R. A. Ryutin, C. T. Sachrajda, Y. Sakai, G. P. Salam, S. Sarkar, F. Sauli, O. Schneider, K. Scholberg, A. J. Schwartz, D. Scott, V. Sharma, S. R. Sharpe, T. Shutt, M. Silari, T. Sjöstrand, P. Skands, T. Skwarnicki, J. G. Smith, G. F. Smoot, S. Spanier, H. Spieler, C. Spiering, A. Stahl, S. L. Stone, T. Sumiyoshi, M. J. Syphers, K. Terashi, J. Terning, U. Thoma, R. S. Thorne, L. Tiator, M. Titov, N. P. Tkachenko, N. A. Törnqvist, D. R. Tovey, G. Valencia, R. Van De Water, N. Varelas, G. Venanzoni, L. Verde, M. G. Vincter, P. Vogel, A. Vogt, S. P. Wakely, W. Walkowiak, C. W. Walter, D. Wands, D. R. Ward, M. O. Wascko, G. Weiglein, D. H. Weinberg, E. J. Weinberg, M. White, L. R. Wiencke, S. Willocq, C. G. Wohl, J. Womersley, C. L. Woody, R. L. Workman, W. M. Yao, G. P. Zeller, O. V. Zenin, R. Y. Zhu, S. L. Zhu, F. Zimmermann, P. A. Zyla, J. Anderson, L. Fuller, V. S. Lugovsky, and P. Schaffner, “Review of Particle Physics,” Physical Review D 98
2018
Later among the works it cites.
Natalie Klco, Eugene F Dumitrescu, Alex J McCaskey, Titus D Morris, Raphael C Pooser, Mikel Sanz, Enrique Solano, Pavel Lougovski, and Martin J Savage, “Quantum-classical computation of schwinger model dynamics using quantum computers,” Physical Review A 98
2018
Later among the works it cites.
Julian Bender, Erez Zohar, Alessandro Farace, and J Ignacio Cirac, “Digital quantum simulation of lattice gauge theories in three spatial dimensions,” New J. Phys 20
2018
Later among the works it cites.
Michael E Peskin, An introduction to quantum field theory (CRC press, 2018)
2018
Later among the works it cites.
TV Zache, Florian Hebenstreit, F Jendrzejewski, MK Oberthaler, J Berges, and P Hauke, “Quantum simulation of lattice gauge theories using wilson fermions,” Quantum science and technology 3
2018
Later among the works it cites.
Elisa Ercolessi, Paolo Facchi, Giuseppe Magnifico, Saverio Pascazio, and Francesco V Pepe, “Phase transitions in z n gauge models: Towards quantum simulations of the schwinger-weyl qed,” Physical Review D 98
2018
Later among the works it cites.
Yunseong Nam, Neil J Ross, Yuan Su, Andrew M Childs, and Dmitri Maslov, “Automated optimization of large quantum circuits with continuous parameters,” npj Quantum Information 4
2018
Later among the works it cites.
Hsuan-Hao Lu, Natalie Klco, Joseph M. Lukens, Titus D. Morris, Aaina Bansal, Andreas Ekström, Gaute Hagen, Thomas Papenbrock, Andrew M. Weiner, Martin J. Savage, and Pavel Lougovski, “Simulations of subatomic many-body physics on a quantum frequency processor,” Phys. Rev. A 100
2019
Later among the works it cites.
Christian Kokail, Christine Maier, Rick van Bijnen, Tiff Brydges, Manoj K Joshi, Petar Jurcevic, Christine A Muschik, Pietro Silvi, Rainer Blatt, Christian F Roos, et al. , “Self-verifying variational quantum simulation of lattice models,” Nature 569
2019
Later among the works it cites.
Henry Lamm, Scott Lawrence, and Yukari Yamauchi (NuQS Collaboration), “General methods for digital quantum simulation of gauge theories,” Phys. Rev. D 100
2019
Later among the works it cites.
Jesse R Stryker, “Oracles for Gauss’s law on digital quantum computers,” Phys. Rev. A 99
2019
Later among the works it cites.
Daniel C. Hackett, Kiel Howe, Ciaran Hughes, William Jay, Ethan T. Neil, and James N. Simone, “Digitizing gauge fields: Lattice monte carlo results for future quantum computers,” Phys. Rev. A 99
2019
Later among the works it cites.
2019
Later among the works it cites.
Andrew M Childs, Aaron Ostrander, and Yuan Su, “Faster quantum simulation by randomization,” Quantum 3
2019
Later among the works it cites.
Andrew Tranter, Peter J Love, Florian Mintert, Nathan Wiebe, and Peter V Coveney, “Ordering of trotterization: Impact on errors in quantum simulation of electronic structure,” Entropy 21
2019
Later among the works it cites.
Gadi Aleksandrowicz, Thomas Alexander, Panagiotis Barkoutsos, Luciano Bello, Yael Ben-Haim, David Bucher, Francisco Jose Cabrera-Hernádez, Jorge Carballo-Franquis, Adrian Chen, Chun-Fu Chen, Jerry M. Chow, Antonio D. Córcoles-Gonzales, Abigail J. Cross, Andrew Cross, Juan Cruz-Benito, Chris Culver, Salvador De La Puente González, Enrique De La Torre, Delton Ding, Eugene Dumitrescu, Ivan Duran, Pieter Eendebak, Mark Everitt, Ismael Faro Sertage, Albert Frisch, Andreas Fuhrer, Jay Gambetta, Borja Godoy Gago, Juan Gomez-Mosquera, Donny Greenberg, Ikko Hamamura, Vojtech Havlicek, Joe Hellmers, Łukasz Herok, Hiroshi Horii, Shaohan Hu, Takashi Imamichi, Toshinari Itoko, Ali Javadi-Abhari, Naoki Kanazawa, Anton Karazeev, Kevin Krsulich, Peng Liu, Yang Luh, Yunho Maeng, Manoel Marques, Francisco Jose Martín-Fernández, Douglas T. McClure, David McKay, Srujan Meesala, Antonio Mezzacapo, Nikolaj Moll, Diego Moreda Rodríguez, Giacomo Nannicini, Paul Nation, Pauline Ollitrault, Lee James O’Riordan, Hanhee Paik, Jesús Pérez, Anna Phan, Marco Pistoia, Viktor Prutyanov, Max Reuter, Julia Rice, Abdón Rodríguez Davila, Raymond Harry Putra Rudy, Mingi Ryu, Ninad Sathaye, Chris Schnabel, Eddie Schoute, Kanav Setia, Yunong Shi, Adenilton Silva, Yukio Siraichi, Seyon Sivarajah, John A. Smolin, Mathias Soeken, Hitomi Takahashi, Ivano Tavernelli, Charles Taylor, Pete Taylour, Kenso Trabing, Matthew Treinish, Wes Turner, Desiree Vogt-Lee, Christophe Vuillot, Jonathan A. Wildstrom, Jessica Wilson, Erick Winston, Christopher Wood, Stephen Wood, Stefan Wörner, Ismail Yunus Akhalwaya, and Christa Zoufal, “Qiskit: An open-source framework for quantum computing,” (2019)
2019
Later among the works it cites.
2019
Later among the works it cites.
Simone Notarnicola, Mario Collura, and Simone Montangero, “Real-time-dynamics quantum simulation of ( 1 + 1 ) -dimensional (1+1)\text{-dimensional} lattice qed with rydberg atoms,” Phys. Rev. Research 2
2020
Closest in time.
Mari Carmen Bañuls and Krzysztof Cichy, “Review on novel methods for lattice gauge theories,” Reports on Progress in Physics 83
2020
Closest in time.