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A combination of the digitized shortcut-to-adiabaticity (STA) and the sequential digitized adiabaticity is implemented in a superconducting quantum device to determine electronic states in two example systems, the H2 molecule and the topological Bernevig-Hughes-Zhang (BHZ) model.
H. F. Trotter, On the product of semigroups of operators, Proc. Amer. Math. Soc. 10
1959
Earlier work this paper cites.
M. Suzuki, Generalized Trotter’s formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems, Commun. Math. Phys. 51
1976
Earlier work this paper cites.
S. Lloyd, Universal quantum simulators, Science 273
1996
Earlier work this paper cites.
E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lundgren, and D. Preda, A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem, Science 292
2001
Earlier work this paper cites.
M. Steffen, W. Dam, T. Hogg, G. Breyta, and Isaac Chuang, Experimental Implementation of an Adiabatic Quantum Optimization Algorithm, Phys. Rev. Lett. 90
2003
Earlier work this paper cites.
V. V. Shende, I. L. Markov, and S. S. Bullock, Minimal Universal Two-Qubit Controlled-NOT-Based Circuits, Phys. Rev. A, 69
2004
Earlier work this paper cites.
B. A. Bernevig, T. L. Hughes, and S. C. Zhang, Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells, Science 314
2006
Earlier work this paper cites.
X. H. Peng, Z. Y. Liao, N. Y. Xu, G. Qin, X. Y. Zhou, D. Suter, and J. F. Du, Quantum Adiabatic Algorithm for Factorization and its Experimental Implementation, Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
A. Das and B. K. Chakrabarti, Colloquium: Quantum Annealing and Analog Quantum Computation, Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
M. V. Berry, Transitionless Quantum Driving, J. Phys. A: Math. Theor. 42
2009
Earlier work this paper cites.
H. Jiang, L. Wang, Q. F. Sun, and X. C. Xie, Numerical Study of the Topological Anderson Insulator in HgTe/CdTe Quantum Wells, Phys. Rev. B 80
2009
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information
2010
Earlier work this paper cites.
A. P. Young, S. Knysh, and V. N. Smelyanskiy, First-Order Phase Transition in the Quantum Adiabatic Algorithm, Phys. Rev. Lett. 104
2010
Earlier work this paper cites.
X. Chen, I. Lizuain, A. Ruschhaupt, D. Guéry-Odelin, and J. G. Muga, Shortcut to Adiabatic Passage in Two- and Three-Level Atoms, Phys. Rev. Lett. 105
2010
Earlier work this paper cites.
X. Chen, A. Ruschhaupt, S. Schmidt, A. del Campo, D. Guéry-Odelin, and J. G. Muga, Fast Optimal Frictionless Atom Cooling in Harmonic Traps: Shortcut to Adiabaticity, Phys. Rev. Lett. 104
2010
Earlier work this paper cites.
M. W Johnson, M. H. Amin, S. Gildert, T. Lanting, F. Hamze, N. Dickson, R. Harris, A. J. Berkley, J. Johansson, and P. Bunyk et al
2011
Cited alongside, same era.
B. P. Lanyon, C. Hempel, D. Nigg, M. Müller, R. Gerritsma, F. Zähringer, P. Schindler, J. T. Barreiro, M. Rambach, and G. Kirchmair et al
2011
Cited alongside, same era.
A. A. Houck, H. E. Türeci, and J. Koch, On-Chip Quantum Simulation with Superconducting Circuits, Nat. Phys. 8
2012
Cited alongside, same era.
J. T. Seeley, M. J. Richard, and P. J. Love, The Bravyi-Kitaev Transformation for Quantum Computation of Electronic Structure, J. Chem. Phys. 137
2012
Cited alongside, same era.
S. Boixo, T. Albash, F. M. Spedalieri,N. Chancellor, and D. A. Lidar, Experimental Signature of Programmable Quantum Annealing, Nat. Commun. 4
2013
Cited alongside, same era.
Z. Zhang, T. Wang, L. Xiang, J. Yao, J. Wu, and Y. Yin, Measuring the Berry Phase in a Superconducting Phase Qubit by a Shortcut to Adiabaticity, Phys. Rev. A 95
2017
Later among the works it cites.
J. I. Colless, V. V. Ramasesh, D. Dahlen, M. S. Blok, M. E. Kimchi-Schwartz, J. R. McClean, J. Carter, W. A. de Jong, and I. Siddiqi, Computation of Molecular Spectra on a Quantum Processor with an Error-Resilient Algorithm, Phys. Rev. X. 8
2018
Later among the works it cites.
T. Wang, Z. Zhang, L. Xiang, Z. Jia, P. Duan, W. Cai, Z. Gong, Z. Zong, M. Wu, J. Wu, L. Sun, Y. Yin, and G. Guo, The Experimental Realization of High-Fidelity Shortcut-to-Adiabaticity Quantum Gates in a Superconducting Xmon Qubit, New J. Phys. 20
2018
Later among the works it cites.
Z. Zhang, T. Wang, L. Xiang, Z. Jia, P. Duan, W. Cai, Z. Zhan, Z. Zong, J. Wu, L. Sun, Y. Yin, and G. Guo, Experimental Demonstration of Work Fluctuations along a Shortcut to Adiabaticity with a Superconducting Xmon Qubit, New J. Phys. 20
2018
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I. M. Georgescu, S. Ashhab, and F. Nori, Quantum Simulation, Rev. Mod. Phys. 86
2014
Cited alongside, same era.
A. Peruzzo, J. McClean, P. Shadbolt, M. Yung, X. Zhou, P. J. Love, A. Aspuru-Guzik, and J. L. O’Brien, A Variational Eigenvalue Solver on a Photonic Quantum Processor, Nat. Commun. 5
2014
Cited alongside, same era.
L. Veisa and J. Pittner, Adiabatic State Preparation Study of Methylene, J. Chem. Phys. 140
2014
Cited alongside, same era.
Y. Salathé, M. Mondal, M. Oppliger, J. Heinsoo, P. Kurpiers, A. Potocnik, A. Mezzacapo, U. Las Heras, L. Lamata, and E. Solano et al
2015
Cited alongside, same era.
R. Barends, L. Lamata, J. Kelly, L. García-Álvarez, A. G. Fowler, A. Megrant, E Jeffrey, T. C. White, D. Sank, and J. Y. Mutus et al
2015
Cited alongside, same era.
P. J. J. O’Malley, R. Babbush, I. D. Kivlichan, J. Romero, J. R. McClean, R. Barends, J. Kelly, P. Roushan, A. Tranter, and N. Ding et al
2016
Cited alongside, same era.
R. Barends, A. Shabani, L. Lamata, J. Kelly, A. Mezzacapo, U. L. Heras, R. Babbush, A. G. Fowler, B. Campbell, and Yu Chen et al
2016
Cited alongside, same era.
Later among the works it cites.
T. Wang, Z. Zhang, L. Xiang, Z. Gong, J. Wu, and Y. Yin, Simulating a Topological Transition in a Superconducting Phase Qubit by Fast Adiabatic Trajectories, Sci. China Phys. Mech. Astron. 61
2018
Later among the works it cites.
A. C. Santos and M. S. Sarandy, Generalized shortcuts to adiabaticity and enhanced robustness against decoherence, J. Phys. A: Math. Theor. 51
2018
Later among the works it cites.
A. Smith, Y. Lu, S. An, X. Zhang, J. Zhang, Z. Gong, H T Quan, C. Jarzynski, and K. Kim, Verification of the quantum nonequilibrium work relation in the presence of decoherence, New J. Phys. 20
2018
Later among the works it cites.
Google AI Quantum, Quantum Supremacy Using a Programmable Superconducting Processor, Nature 574
2019
Later among the works it cites.
D. Guéry-Odelin, A. Ruschhaupt, A. Kiely, E. Torrontegui, S. Martínez-Garaot, and J. G. Muga, Shortcuts to Adiabaticity: Concepts, Methods, and Applications, Rev. Mod. Phys. 91
2019
Later among the works it cites.
P. W. Claeys, M. Pandey, D. Sels, and A. Polkovnikov, Floquet-engineering counterdiabatic protocols in quantum many-body systems, Phys. Rev. Lett. 123
2019
Later among the works it cites.
T. Wang, Z. Zhang, L. Xiang, Z. Jia, P. Duan, Z. Zong, Z. Sun, Z. Dong, J. Wu, Y. Yin, and G. Guo, Experimental Realization of a Fast Controlled-Z Gate via a Shortcut to Adiabaticity, Phys. Rev. Appl. 11
2019
Later among the works it cites.
Google AI Quantum, Hartree-Fock on a Superconducting Qubit Quantum Computer, Science 369
2020
Later among the works it cites.
C. Hu, A. C. Santos, J. Cui, Y. Huang, D. O. Soares-Pinto, and M. S. Sarandy, C. Li, and G. Guo, Quantum thermodynamics in adiabatic open systems and its trapped-ion experimental realization, npj Quantum Inf. 6
2020
Later among the works it cites.
L. Xiang, Z. Zong, Z. Sun, Z. Zhan, Y. Fei, Z. Dong, C. Run, Z. Jia, P. Duan, J. Wu, Y. Yin, and G. Guo, Random Walk on the Bloch Sphere Realized by a Simultaneous Feedback and Feed-forward Control in a Superconducting Xmon Qubit, Phys. Rev. Appl. 14
2020
Later among the works it cites.
N. N. Hegade, K. Paul, Y. Ding, M. Sanz, F. Albarran-Arriagada, E. Solano, and X. Chen, Shortcuts to Adiabaticity in Digitized Adiabatic Quantum Computing, Phys. Rev. Appl. 15
2021
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