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2019

General Methods for Digital Quantum Simulation of Gauge Theories

Lamm, Henry, Lawrence, Scott, Yamauchi, Yukari

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A general scheme is presented for simulating gauge theories, with matter fields, on a digital quantum computer.

A Trotterized time-evolution operator that respects gauge symmetry is constructed, and a procedure for obtaining time-separated, gauge-invariant operators is detailed.
We demonstrate the procedure on small lattices, including the simulation of a 2+1D non-Abelian gauge theory.

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Built on

E. Gustafson, Y. Meurice, and J. Unmuth-Yockey, (2019), arXiv:1901.05944 [hep-lat]
Original
1901
Earlier work this paper cites.
Y. Meurice, (2019), arXiv:1903.01918 [hep-lat]
Original
1903
Earlier work this paper cites.
A. Alexandru, P. F. Bedaque, S. Harmalkar, H. Lamm, S. Lawrence, and N. C. Warrington (NuQS), (2019), arXiv:1906.11213 [hep-lat]
Original
1906
Earlier work this paper cites.
P. Jordan and E. P. Wigner, Z. Phys. 47
1928
Earlier work this paper cites.
J. Kogut and L. Susskind, Phys. Rev. D 11
1975
Earlier work this paper cites.
M. Luscher, Commun. Math. Phys. 54
1977
Earlier work this paper cites.
M. Creutz, Phys. Rev. D15
1977
Earlier work this paper cites.
R. P. Feynman, Int. J. Theor. Phys. 21
1982
Earlier work this paper cites.
A. Ekert and R. Jozsa, Rev. Mod. Phys. 68
1996
Earlier work this paper cites.
R. Beals, in Proceedings of the twenty-ninth annual ACM symposium on Theory of computing (Citeseer, 1997) pp. 48–53
Original
1997
Earlier work this paper cites.
R. Jozsa, in Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences , Vol. 454 (The Royal Society, 1998) pp. 323–337
1998
Earlier work this paper cites.
M. Pueschel, M. Roetteler, and T. Beth, , quant-ph/9807064 (1998), arXiv:9807064 [quant-ph]
1998
Earlier work this paper cites.
D. S. Abrams and S. Lloyd, Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, “Quantum computation and quantum information,” (2000)
2000
Earlier work this paper cites.
E. Farhi, J. Goldstone, S. Gutmann, and M. Sipser, arXiv:0001106 (2000)
2000
Earlier work this paper cites.
M. Creutz, Found. Phys. 30
2000
Earlier work this paper cites.
E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lundgren, and D. Preda, Science 292
2001
Earlier work this paper cites.
G. Ortiz, J. E. Gubernatis, E. Knill, and R. Laflamme, Phys. Rev. A64
2001
Earlier work this paper cites.
V. K. Mitrjushkin, (2002), arXiv:0206024 [hep-lat]
2002
Earlier work this paper cites.
D. Coppersmith, arXiv:0201067 (2002)
2002
Earlier work this paper cites.
C. Moore, D. Rockmore, and A. Russell, (2003), arXiv:0304064 [quant-ph]
2003
Earlier work this paper cites.
M. Troyer and U.-J. Wiese, Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, J. Stat. Mech. 0509
2005
Earlier work this paper cites.
T. Byrnes and Y. Yamamoto, Phys. Rev. A73
2006
Earlier work this paper cites.
M. Peardon, J. Bulava, J. Foley, C. Morningstar, J. Dudek, R. G. Edwards, B. Joo, H.-W. Lin, D. G. Richards, and K. J. Juge (Hadron Spectrum), Phys. Rev. D80
Original
2009
Earlier work this paper cites.
E. Bilgin and S. Boixo, Physical Review Letters 105
Original
2010
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, Phys. Rev. Lett. 104
Original
2010
Earlier work this paper cites.
S. P. Jordan, K. S. M. Lee, and J. Preskill, Science 336
Original
2012
Earlier work this paper cites.
D. Banerjee, M. Dalmonte, M. Muller, E. Rico, P. Stebler, U. J. Wiese, and P. Zoller, Phys. Rev. Lett. 109
Original
2012
Earlier work this paper cites.

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