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2022

Gluon Digitization via Character Expansion for Quantum Computers

Ji, Yao, Lamm, Henry, Zhu, Shuchen

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Efficient digitization is required for quantum simulations of gauge theories.

Schemes based on discrete subgroups use a smaller, fixed number of qubits at the cost of systematic errors.
We systematize this approach by deriving the single plaquette action through matching the continuous group action to that of a discrete one via group character expansions modulo the field fluctuation contributions.
We accompany this scheme by simulations of pure gauge over the largest discrete crystal-like subgroup of $SU(3)$ up to the fifth-order in the coupling constant.

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H. Lamm, S. Lawrence, and Y. Yamauchi (NuQS), Phys. Rev. D100
Original
1903
Earlier work this paper cites.
H. Singh and S. Chandrasekharan, Phys. Rev. D 100
Original
1905
Earlier work this paper cites.
A. Alexandru, P. F. Bedaque, S. Harmalkar, H. Lamm, S. Lawrence, and N. C. Warrington (NuQS), Phys.Rev.D 100
Original
1906
Earlier work this paper cites.
H. Lamm, S. Lawrence, and Y. Yamauchi (NuQS), (2019a), arXiv:1908.10439 [hep-lat]
Original
1908
Earlier work this paper cites.
N. Klco, J. R. Stryker, and M. J. Savage, Phys. Rev. D 101
Original
1908
Earlier work this paper cites.
M. C. Bañuls et al. , Eur. Phys. J. D 74
Original
1911
Earlier work this paper cites.
H. Singh, “Qubit O ⁡ ( N ) O(N) nonlinear sigma models,” (2019), arXiv:1911.12353 [hep-lat]
Original
1911
Earlier work this paper cites.
I. Raychowdhury and J. R. Stryker, Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
D. Luo, J. Shen, M. Highman, B. K. Clark, B. DeMarco, A. X. El-Khadra, and B. Gadway, “A Framework for Simulating Gauge Theories with Dipolar Spin Systems,” (2019), arXiv:1912.11488 [quant-ph]
Original
1912
Earlier work this paper cites.
J. Kogut and L. Susskind, Phys. Rev. D 11
1975
Earlier work this paper cites.
M. Creutz, L. Jacobs, and C. Rebbi, Phys. Rev. D20
1979
Earlier work this paper cites.
D. Petcher and D. H. Weingarten, Phys. Rev. D22
1980
Earlier work this paper cites.
G. Bhanot and C. Rebbi, Phys. Rev. D24
1981
Earlier work this paper cites.
D. H. Weingarten and D. N. Petcher, Phys. Lett. 99B
1981
Earlier work this paper cites.
D. Weingarten, Phys. Lett. 109B
1981
Earlier work this paper cites.
R. P. Feynman, Int. J. Theor. Phys. 21
1982
Earlier work this paper cites.
G. Bhanot, Phys. Lett. 108B
1982
Earlier work this paper cites.
M. Creutz and M. Okawa, Nucl. Phys. B220
1983
Earlier work this paper cites.
J.-M. Drouffe and J.-B. Zuber, Phys. Rept. 102
1983
Earlier work this paper cites.
M. Creutz, Quarks, gluons and lattices , Cambridge Monographs on Mathematical Physics (Cambridge Univ. Press, Cambridge, UK, 1985)
1985
Earlier work this paper cites.
H. Flyvbjerg, J. Math. Phys. 26
1985
Earlier work this paper cites.

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