Built on

H. Lamm, S. Lawrence, and Y. Yamauchi (NuQS), General Methods for Digital Quantum Simulation of Gauge Theories, Phys. Rev. D100
Original
1903
Earlier work this paper cites.
H. Singh and S. Chandrasekharan, Qubit regularization of the O ⁡ ( 3 ) O(3) sigma model, 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), Gluon field digitization for quantum computers, Phys.Rev.D 100
Original
1906
Earlier work this paper cites.
H. Lamm, S. Lawrence, and Y. Yamauchi (NuQS), Parton physics on a quantum computer, Phys. Rev. Res. 2
Original
1908
Earlier work this paper cites.
N. Klco, J. R. Stryker, and M. J. Savage, SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers, Phys. Rev. D 101
Original
1908
Earlier work this paper cites.
M. C. Bañuls et al. , Simulating Lattice Gauge Theories within Quantum Technologies, 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.
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.
I. Raychowdhury and J. R. Stryker, Loop, String, and Hadron Dynamics in SU(2) Hamiltonian Lattice Gauge Theories, Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
H. F. Trotter, On the product of semi-groups of operators, Proceedings of the American Mathematical Society 10
1959
Earlier work this paper cites.
K. Osterwalder and R. Schrader, Axioms for Euclidean Green’s Functions, Commun. Math. Phys. 31
1973
Earlier work this paper cites.
K. G. Wilson, Confinement of quarks, Phys. Rev. D 10
1974
Earlier work this paper cites.
K. Osterwalder and R. Schrader, Axioms for Euclidean Green’s Functions. 2., Commun. Math. Phys. 42
1975
Earlier work this paper cites.
J. Kogut and L. Susskind, Hamiltonian formulation of Wilson’s lattice gauge theories, Phys. Rev. D 11
1975
Earlier work this paper cites.
M. Creutz, Gauge Fixing, the Transfer Matrix, and Confinement on a Lattice, Phys. Rev. D15
1977
Earlier work this paper cites.
R. P. Feynman, Simulating physics with computers, Int. J. Theor. Phys. 21
1982
Earlier work this paper cites.
K. Symanzik, Continuum Limit and Improved Action in Lattice Theories. 1. Principles and phi**4 Theory, Nucl. Phys. B 226
1983
Earlier work this paper cites.
M. Suzuki, Decomposition formulas of exponential operators and lie exponentials with some applications to quantum mechanics and statistical physics, Journal of Mathematical Physics 26
1985
Earlier work this paper cites.
M. Luscher and P. Weisz, On-Shell Improved Lattice Gauge Theories, Commun. Math. Phys. 97
1985
Earlier work this paper cites.
M. G. Alford, W. Dimm, G. P. Lepage, G. Hockney, and P. B. Mackenzie, Lattice QCD on small computers, Phys. Lett. B 361
1995
Earlier work this paper cites.
I. L. Chuang and M. A. Nielsen, Prescription for experimental determination of the dynamics of a quantum black box, J. Mod. Opt. 44
1997
Earlier work this paper cites.
X.-Q. Luo, S.-H. Guo, H. Kroger, and D. Schutte, Improved lattice gauge field Hamiltonian, Phys. Rev. D 59
1999
Earlier work this paper cites.
S. Harmalkar, H. Lamm, and S. Lawrence (NuQS), Quantum Simulation of Field Theories Without State Preparation (2020), arXiv:2001.11490 [hep-lat]
Original
2001
Earlier work this paper cites.
J. Carlsson and B. H. McKellar, Direct improvement of Hamiltonian lattice gauge theory, Phys. Rev. D 64
2001
Earlier work this paper 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 (2020), arXiv:2002.04016 [quant-ph]
Original
2002
Earlier work this paper cites.
R. C. Brower, D. Berenstein, and H. Kawai, Lattice Gauge Theory for a Quantum Computer, PoS LATTICE2019
Original
2002
Earlier work this paper cites.

Similar

J. Carlsson, Improvement and analytic techniques in Hamiltonian lattice gauge theory , Other thesis (2003), arXiv:hep-lat/0309138
2003
Cited alongside, same era.
Y. Ji, H. Lamm, and S. Zhu (NuQS), Gluon Field Digitization via Group Space Decimation for Quantum Computers, Phys. Rev. D 102
Original
2005
Cited alongside, same era.
S. V. Mathis, G. Mazzola, and I. Tavernelli, Toward scalable simulations of Lattice Gauge Theories on quantum computers, Phys. Rev. D 102
Original
2005
Cited alongside, same era.
J. F. Haase, L. Dellantonio, A. Celi, D. Paulson, A. Kan, K. Jansen, and C. A. Muschik, A resource efficient approach for quantum and classical simulations of gauge theories in particle physics, Quantum 5
Original
2006
Cited alongside, same era.
A. J. Buser, T. Bhattacharya, L. Cincio, and R. Gupta, Quantum simulation of the qubit-regularized O(3)-sigma model (2020), arXiv:2006.15746 [quant-ph]

Then

E. Campbell, Random compiler for fast Hamiltonian simulation, Phys. Rev. Lett. 123
2019
Later among the works it cites.
G. H. Low and I. L. Chuang, Hamiltonian Simulation by Qubitization, Quantum 3
2019
Later among the works it cites.
D. Spitz and J. Berges, Schwinger pair production and string breaking in non-Abelian gauge theory from real-time lattice improved Hamiltonians, Phys. Rev. D 99
Original
2019
Later among the works it cites.
A. Erhard, J. J. Wallman, L. Postler, M. Meth, R. Stricker, E. A. Martinez, P. Schindler, T. Monz, J. Emerson, and R. Blatt, Characterizing large-scale quantum computers via cycle benchmarking, Nature Communications 10
2019
Later among the works it cites.
E. Gustafson, H. Kawai, H. Lamm, I. Raychowdhury, H. Singh, J. Stryker, and J. Unmuth-Yockey, Exploring Digitizations of Quantum Fields for Quantum Devices, Snowmass 2021 LOI TF10-97

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Reading the bibliography…

2022

Improved Hamiltonians for Quantum Simulations

Carena, Marcela, Lamm, Henry, Li, Ying-Ying et al.

Understand

Quantum simulations of lattice gauge theories for the foreseeable future will be hampered by limited resources.

The historical success of improved lattice actions in classical simulations strongly suggests that Hamiltonians with improved discretization errors will reduce quantum resources, i.e.
require $\gtrsim 2^d$ fewer qubits in quantum simulations for lattices with $d$ spatial dimensions.
In this work, we consider $\mathcal{O}(a^2)$-improved Hamiltonians for pure gauge theories and design the corresponding quantum circuits for its real-time evolution in terms of primitive gates.

Built on

H. Lamm, S. Lawrence, and Y. Yamauchi (NuQS), General Methods for Digital Quantum Simulation of Gauge Theories, Phys. Rev. D100
Original
1903
Earlier work this paper cites.
H. Singh and S. Chandrasekharan, Qubit regularization of the O ⁡ ( 3 ) O(3) sigma model, 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), Gluon field digitization for quantum computers, Phys.Rev.D 100
Original
1906
Earlier work this paper cites.
H. Lamm, S. Lawrence, and Y. Yamauchi (NuQS), Parton physics on a quantum computer, Phys. Rev. Res. 2
Original
1908
Earlier work this paper cites.
N. Klco, J. R. Stryker, and M. J. Savage, SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers, Phys. Rev. D 101
Original
1908
Earlier work this paper cites.
M. C. Bañuls et al. , Simulating Lattice Gauge Theories within Quantum Technologies, 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.
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.
I. Raychowdhury and J. R. Stryker, Loop, String, and Hadron Dynamics in SU(2) Hamiltonian Lattice Gauge Theories, Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
H. F. Trotter, On the product of semi-groups of operators, Proceedings of the American Mathematical Society 10
1959
Earlier work this paper cites.
K. Osterwalder and R. Schrader, Axioms for Euclidean Green’s Functions, Commun. Math. Phys. 31
1973
Earlier work this paper cites.
K. G. Wilson, Confinement of quarks, Phys. Rev. D 10
1974
Earlier work this paper cites.
K. Osterwalder and R. Schrader, Axioms for Euclidean Green’s Functions. 2., Commun. Math. Phys. 42
1975
Earlier work this paper cites.
J. Kogut and L. Susskind, Hamiltonian formulation of Wilson’s lattice gauge theories, Phys. Rev. D 11
1975
Earlier work this paper cites.
M. Creutz, Gauge Fixing, the Transfer Matrix, and Confinement on a Lattice, Phys. Rev. D15
1977
Earlier work this paper cites.
R. P. Feynman, Simulating physics with computers, Int. J. Theor. Phys. 21
1982
Earlier work this paper cites.
K. Symanzik, Continuum Limit and Improved Action in Lattice Theories. 1. Principles and phi**4 Theory, Nucl. Phys. B 226
1983
Earlier work this paper cites.
M. Suzuki, Decomposition formulas of exponential operators and lie exponentials with some applications to quantum mechanics and statistical physics, Journal of Mathematical Physics 26
1985
Earlier work this paper cites.
M. Luscher and P. Weisz, On-Shell Improved Lattice Gauge Theories, Commun. Math. Phys. 97
1985
Earlier work this paper cites.
M. G. Alford, W. Dimm, G. P. Lepage, G. Hockney, and P. B. Mackenzie, Lattice QCD on small computers, Phys. Lett. B 361
1995
Earlier work this paper cites.
I. L. Chuang and M. A. Nielsen, Prescription for experimental determination of the dynamics of a quantum black box, J. Mod. Opt. 44
1997
Earlier work this paper cites.
X.-Q. Luo, S.-H. Guo, H. Kroger, and D. Schutte, Improved lattice gauge field Hamiltonian, Phys. Rev. D 59
1999
Earlier work this paper cites.
S. Harmalkar, H. Lamm, and S. Lawrence (NuQS), Quantum Simulation of Field Theories Without State Preparation (2020), arXiv:2001.11490 [hep-lat]
Original
2001
Earlier work this paper cites.
J. Carlsson and B. H. McKellar, Direct improvement of Hamiltonian lattice gauge theory, Phys. Rev. D 64
2001
Earlier work this paper 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 (2020), arXiv:2002.04016 [quant-ph]
Original
2002
Earlier work this paper cites.
R. C. Brower, D. Berenstein, and H. Kawai, Lattice Gauge Theory for a Quantum Computer, PoS LATTICE2019
Original
2002
Earlier work this paper cites.

Similar

J. Carlsson, Improvement and analytic techniques in Hamiltonian lattice gauge theory , Other thesis (2003), arXiv:hep-lat/0309138
2003
Cited alongside, same era.
Y. Ji, H. Lamm, and S. Zhu (NuQS), Gluon Field Digitization via Group Space Decimation for Quantum Computers, Phys. Rev. D 102
Original
2005
Cited alongside, same era.
S. V. Mathis, G. Mazzola, and I. Tavernelli, Toward scalable simulations of Lattice Gauge Theories on quantum computers, Phys. Rev. D 102
Original
2005
Cited alongside, same era.
J. F. Haase, L. Dellantonio, A. Celi, D. Paulson, A. Kan, K. Jansen, and C. A. Muschik, A resource efficient approach for quantum and classical simulations of gauge theories in particle physics, Quantum 5
Original
2006
Cited alongside, same era.
A. J. Buser, T. Bhattacharya, L. Cincio, and R. Gupta, Quantum simulation of the qubit-regularized O(3)-sigma model (2020), arXiv:2006.15746 [quant-ph]

Then

E. Campbell, Random compiler for fast Hamiltonian simulation, Phys. Rev. Lett. 123
2019
Later among the works it cites.
G. H. Low and I. L. Chuang, Hamiltonian Simulation by Qubitization, Quantum 3
2019
Later among the works it cites.
D. Spitz and J. Berges, Schwinger pair production and string breaking in non-Abelian gauge theory from real-time lattice improved Hamiltonians, Phys. Rev. D 99
Original
2019
Later among the works it cites.
A. Erhard, J. J. Wallman, L. Postler, M. Meth, R. Stricker, E. A. Martinez, P. Schindler, T. Monz, J. Emerson, and R. Blatt, Characterizing large-scale quantum computers via cycle benchmarking, Nature Communications 10
2019
Later among the works it cites.
E. Gustafson, H. Kawai, H. Lamm, I. Raychowdhury, H. Singh, J. Stryker, and J. Unmuth-Yockey, Exploring Digitizations of Quantum Fields for Quantum Devices, Snowmass 2021 LOI TF10-97

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2006

Cited alongside, same era.

B. Şahinoğlu and R. D. Somma, Hamiltonian simulation in the low energy subspace (2020), arXiv:2006.02660 [quant-ph]

Original

2006

Cited alongside, same era.

A. Yamamoto, Real-time simulation of (2+1)-dimensional lattice gauge theory on qubits, PTEP 2021

Original

2008

Cited alongside, same era.

Z. Davoudi, I. Raychowdhury, and A. Shaw, Search for Efficient Formulations for Hamiltonian Simulation of non-Abelian Lattice Gauge Theories (2020), arXiv:2009.11802 [hep-lat]

Original

2009

Cited alongside, same era.

M. Echevarria, I. Egusquiza, E. Rico, and G. Schnell, Quantum Simulation of Light-Front Parton Correlators (2020), arXiv:2011.01275 [quant-ph]

Original

2011

Cited alongside, same era.

E. J. Gustafson and H. Lamm, Toward quantum simulations of ℤ 2 \mathbb{Z}_{2} gauge theory without state preparation, Phys. Rev. D 103

Original

2011

Cited alongside, same era.

E. Zohar, J. I. Cirac, and B. Reznik, Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects, Phys. Rev. Lett. 109

Original

2012

Cited alongside, same era.

M. R. Geller and Z. Zhou, Efficient error models for fault-tolerant architectures and the pauli twirling approximation, Physical Review A 88

2013

Cited alongside, same era.

2020