Built on

M. Kjaergaard, M. E. Schwartz, J. Braumüller, P. Krantz, J. I.-J. Wang, S. Gustavsson, and W. D. Oliver, Superconducting Qubits: Current State of Play, Annu. Rev. Condens. Matter Phys. 11
Original
1905
Earlier work this paper cites.
D. Burgarth, P. Facchi, G. Gramegna, and S. Pascazio, Generalized Product Formulas and Quantum Control, J. Phys. A: Math. Theor. 52
Original
1906
Earlier work this paper cites.
G. H. Low, V. Kliuchnikov, and N. Wiebe, Well-conditioned multiproduct Hamiltonian simulation, arXiv:1907.11679 [physics, physics:quant-ph] (2019), arXiv:1907.11679 [physics, physics:quant-ph]
Original
1907
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.
C. Monroe, W. C. Campbell, L.-M. Duan, Z.-X. Gong, A. V. Gorshkov, P. Hess, R. Islam, K. Kim, G. Pagano, P. Richerme, C. Senko, and N. Y. Yao, Programmable Quantum Simulations of Spin Systems with Trapped Ions, arXiv:1912.07845 [cond-mat, physics:quant-ph] (2019), arXiv:1912.07845 [cond-mat, physics:quant-ph]
Original
1912
Earlier work this paper cites.
A. M. Childs, Y. Su, M. C. Tran, N. Wiebe, and S. Zhu, A Theory of Trotter Error, arXiv:1912.08854 [cond-mat, physics:physics, physics:quant-ph] (2020), arXiv:1912.08854 [cond-mat, physics:physics, physics:quant-ph]
Original
1912
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.
S. Coleman, More about the massive schwinger model, Annals of Physics 101
1976
Earlier work this paper cites.
M. Suzuki, General theory of fractal path integrals with applications to many-body theories and statistical physics, Journal of Mathematical Physics 32
1991
Earlier work this paper cites.
C. J. Hamer, Z. Weihong, and J. Oitmaa, Series expansions for the massive schwinger model in hamiltonian lattice theory, Phys. Rev. D 56
1997
Earlier work this paper cites.
P. Zanardi, Symmetrizing evolutions, Physics Letters A 258
1999
Earlier work this paper cites.
B. Chakraborty, M. Honda, T. Izubuchi, Y. Kikuchi, and A. Tomiya, Digital Quantum Simulation of the Schwinger Model with Topological Term via Adiabatic State Preparation, arXiv:2001.00485 [cond-mat, physics:hep-lat, physics:hep-ph, physics:hep-th, physics:quant-ph] (2020), arXiv:2001.00485 [cond-mat, physics:hep-lat, physics:hep-ph, physics:hep-th, physics:quant-ph]
Original
2001
Earlier work this paper cites.
A. F. Shaw, P. Lougovski, J. R. Stryker, and N. Wiebe, Quantum Algorithms for Simulating the Lattice Schwinger Model, arXiv:2002.11146 [hep-lat, physics:nucl-th, physics:quant-ph] (2020), arXiv:2002.11146 [hep-lat, physics:nucl-th, physics:quant-ph]
Original
2002
Earlier work this paper cites.
T. M. R. Byrnes, P. Sriganesh, R. J. Bursill, and C. J. Hamer, Density matrix renormalization group approach to the massive schwinger model, Phys. Rev. D 66
2002
Earlier work this paper cites.
P. Facchi, D. A. Lidar, and S. Pascazio, Unification of dynamical decoupling and the quantum zeno effect, Phys. Rev. A 69
2004
Earlier work this paper cites.
H. Lamm, S. Lawrence, and Y. Yamauchi, Suppressing Coherent Gauge Drift in Quantum Simulations, arXiv:2005.12688 [hep-lat, physics:quant-ph] (2020), arXiv:2005.12688 [hep-lat, physics:quant-ph]
Original
2005
Earlier work this paper cites.
B. Şahinoğlu and R. D. Somma, Hamiltonian simulation in the low energy subspace, arXiv:2006.02660 [quant-ph] (2020), arXiv:2006.02660 [quant-ph]
Original
2006
Earlier work this paper cites.

Similar

K. Khodjasteh and D. A. Lidar, Rigorous bounds on the performance of a hybrid dynamical-decoupling quantum-computing scheme, Phys. Rev. A 78
2008
Cited alongside, same era.
P. C. Moan and J. Niesen, Convergence of the magnus series, Foundations of Computational Mathematics 8
2008
Cited alongside, same era.
S. Blanes, F. Casas, J. A. Oteo, and J. Ros, The Magnus expansion and some of its applications, Physics Reports 470
2009
Cited alongside, same era.
S. A. Chin, Multi-product splitting and Runge-Kutta-Nyström integrators, Celest Mech Dyn Astr 106
2010
Cited alongside, same era.
H. K. Ng, D. A. Lidar, and J. Preskill, Combining dynamical decoupling with fault-tolerant quantum computation, Phys. Rev. A 84
2011
Cited alongside, same era.

Then

E. A. Martinez, C. A. Muschik, P. Schindler, D. Nigg, A. Erhard, M. Heyl, P. Hauke, M. Dalmonte, T. Monz, P. Zoller, and R. Blatt, Real-time dynamics of lattice gauge theories with a few-qubit quantum computer, Nature 534
Original
2016
Later among the works it cites.
J. Haah, M. B. Hastings, R. Kothari, and G. H. Low, Quantum algorithm for simulating real time evolution of lattice Hamiltonians, arXiv:1801.03922 [quant-ph] (2018), arXiv:1801.03922 [quant-ph]
Original
2018
Later among the works it cites.
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, Phys. Rev. A 98
Original
2018
Later among the works it cites.
E. Ercolessi, P. Facchi, G. Magnifico, S. Pascazio, and F. V. Pepe, Phase Transitions in $Z_{n}$ Gauge Models: Towards Quantum Simulations of the Schwinger-Weyl QED, Phys. Rev. D 98
Original
2018
Later among the works it cites.

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

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2020

Faster Digital Quantum Simulation by Symmetry Protection

Tran, Minh C., Su, Yuan, Carney, Daniel et al.

Understand

Simulating the dynamics of quantum systems is an important application of quantum computers and has seen a variety of implementations on current hardware.

We show that by introducing quantum gates implementing unitary transformations generated by the symmetries of the system, one can induce destructive interference between the errors from different steps of the simulation, effectively giving faster quantum simulation by symmetry protection.
We derive rigorous bounds on the error of a symmetry-protected simulation algorithm and identify conditions for optimal symmetry protection.
In particular, when the symmetry transformations are chosen as powers of a unitary, the error of the algorithm is approximately projected to the so-called quantum Zeno subspaces.

Built on

M. Kjaergaard, M. E. Schwartz, J. Braumüller, P. Krantz, J. I.-J. Wang, S. Gustavsson, and W. D. Oliver, Superconducting Qubits: Current State of Play, Annu. Rev. Condens. Matter Phys. 11
Original
1905
Earlier work this paper cites.
D. Burgarth, P. Facchi, G. Gramegna, and S. Pascazio, Generalized Product Formulas and Quantum Control, J. Phys. A: Math. Theor. 52
Original
1906
Earlier work this paper cites.
G. H. Low, V. Kliuchnikov, and N. Wiebe, Well-conditioned multiproduct Hamiltonian simulation, arXiv:1907.11679 [physics, physics:quant-ph] (2019), arXiv:1907.11679 [physics, physics:quant-ph]
Original
1907
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.
C. Monroe, W. C. Campbell, L.-M. Duan, Z.-X. Gong, A. V. Gorshkov, P. Hess, R. Islam, K. Kim, G. Pagano, P. Richerme, C. Senko, and N. Y. Yao, Programmable Quantum Simulations of Spin Systems with Trapped Ions, arXiv:1912.07845 [cond-mat, physics:quant-ph] (2019), arXiv:1912.07845 [cond-mat, physics:quant-ph]
Original
1912
Earlier work this paper cites.
A. M. Childs, Y. Su, M. C. Tran, N. Wiebe, and S. Zhu, A Theory of Trotter Error, arXiv:1912.08854 [cond-mat, physics:physics, physics:quant-ph] (2020), arXiv:1912.08854 [cond-mat, physics:physics, physics:quant-ph]
Original
1912
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.
S. Coleman, More about the massive schwinger model, Annals of Physics 101
1976
Earlier work this paper cites.
M. Suzuki, General theory of fractal path integrals with applications to many-body theories and statistical physics, Journal of Mathematical Physics 32
1991
Earlier work this paper cites.
C. J. Hamer, Z. Weihong, and J. Oitmaa, Series expansions for the massive schwinger model in hamiltonian lattice theory, Phys. Rev. D 56
1997
Earlier work this paper cites.
P. Zanardi, Symmetrizing evolutions, Physics Letters A 258
1999
Earlier work this paper cites.
B. Chakraborty, M. Honda, T. Izubuchi, Y. Kikuchi, and A. Tomiya, Digital Quantum Simulation of the Schwinger Model with Topological Term via Adiabatic State Preparation, arXiv:2001.00485 [cond-mat, physics:hep-lat, physics:hep-ph, physics:hep-th, physics:quant-ph] (2020), arXiv:2001.00485 [cond-mat, physics:hep-lat, physics:hep-ph, physics:hep-th, physics:quant-ph]
Original
2001
Earlier work this paper cites.
A. F. Shaw, P. Lougovski, J. R. Stryker, and N. Wiebe, Quantum Algorithms for Simulating the Lattice Schwinger Model, arXiv:2002.11146 [hep-lat, physics:nucl-th, physics:quant-ph] (2020), arXiv:2002.11146 [hep-lat, physics:nucl-th, physics:quant-ph]
Original
2002
Earlier work this paper cites.
T. M. R. Byrnes, P. Sriganesh, R. J. Bursill, and C. J. Hamer, Density matrix renormalization group approach to the massive schwinger model, Phys. Rev. D 66
2002
Earlier work this paper cites.
P. Facchi, D. A. Lidar, and S. Pascazio, Unification of dynamical decoupling and the quantum zeno effect, Phys. Rev. A 69
2004
Earlier work this paper cites.
H. Lamm, S. Lawrence, and Y. Yamauchi, Suppressing Coherent Gauge Drift in Quantum Simulations, arXiv:2005.12688 [hep-lat, physics:quant-ph] (2020), arXiv:2005.12688 [hep-lat, physics:quant-ph]
Original
2005
Earlier work this paper cites.
B. Şahinoğlu and R. D. Somma, Hamiltonian simulation in the low energy subspace, arXiv:2006.02660 [quant-ph] (2020), arXiv:2006.02660 [quant-ph]
Original
2006
Earlier work this paper cites.

Similar

K. Khodjasteh and D. A. Lidar, Rigorous bounds on the performance of a hybrid dynamical-decoupling quantum-computing scheme, Phys. Rev. A 78
2008
Cited alongside, same era.
P. C. Moan and J. Niesen, Convergence of the magnus series, Foundations of Computational Mathematics 8
2008
Cited alongside, same era.
S. Blanes, F. Casas, J. A. Oteo, and J. Ros, The Magnus expansion and some of its applications, Physics Reports 470
2009
Cited alongside, same era.
S. A. Chin, Multi-product splitting and Runge-Kutta-Nyström integrators, Celest Mech Dyn Astr 106
2010
Cited alongside, same era.
H. K. Ng, D. A. Lidar, and J. Preskill, Combining dynamical decoupling with fault-tolerant quantum computation, Phys. Rev. A 84
2011
Cited alongside, same era.

Then

E. A. Martinez, C. A. Muschik, P. Schindler, D. Nigg, A. Erhard, M. Heyl, P. Hauke, M. Dalmonte, T. Monz, P. Zoller, and R. Blatt, Real-time dynamics of lattice gauge theories with a few-qubit quantum computer, Nature 534
Original
2016
Later among the works it cites.
J. Haah, M. B. Hastings, R. Kothari, and G. H. Low, Quantum algorithm for simulating real time evolution of lattice Hamiltonians, arXiv:1801.03922 [quant-ph] (2018), arXiv:1801.03922 [quant-ph]
Original
2018
Later among the works it cites.
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, Phys. Rev. A 98
Original
2018
Later among the works it cites.
E. Ercolessi, P. Facchi, G. Magnifico, S. Pascazio, and F. V. Pepe, Phase Transitions in $Z_{n}$ Gauge Models: Towards Quantum Simulations of the Schwinger-Weyl QED, Phys. Rev. D 98
Original
2018
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

R. Blatt and C. F. Roos, Quantum simulations with trapped ions, Nature Physics 8

2012

Cited alongside, same era.

S. P. Jordan, K. S. M. Lee, and J. Preskill, Quantum Algorithms for Quantum Field Theories, Science 336

Original

2012

Cited alongside, same era.

A. V. Kuhlmann, J. Houel, A. Ludwig, L. Greuter, D. Reuter, A. D. Wieck, M. Poggio, and R. J. Warburton, Charge noise and spin noise in a semiconductor quantum device, Nature Physics 9

2013

Cited alongside, same era.

P. Hauke, D. Marcos, M. Dalmonte, and P. Zoller, Quantum simulation of a lattice Schwinger model in a chain of trapped ions, Phys. Rev. X 3

Original

2013

Cited alongside, same era.

E. Zohar, J. I. Cirac, and B. Reznik, Cold-Atom Quantum Simulator for SU(2) Yang-Mills Lattice Gauge Theory, Phys. Rev. Lett. 110

2013

Cited alongside, same era.

K. Stannigel, P. Hauke, D. Marcos, M. Hafezi, S. Diehl, M. Dalmonte, and P. Zoller, Constrained Dynamics via the Zeno Effect in Quantum Simulation: Implementing Non-Abelian Lattice Gauge Theories with Cold Atoms, Phys. Rev. Lett. 112

2014

Cited alongside, same era.

B. Buyens, J. Haegeman, K. Van Acoleyen, H. Verschelde, and F. Verstraete, Matrix product states for gauge field theories, Phys. Rev. Lett. 113

2014

Cited alongside, same era.

R. Babbush, N. Wiebe, J. McClean, J. McClain, H. Neven, and G. K.-L. Chan, Low-Depth Quantum Simulation of Materials, Phys. Rev. X 8

2018