Fetching the paper…
Reading the bibliography…
Shortcuts to adiabaticity provide fast protocols for quantum state preparation in which the use of auxiliary counterdiabatic controls circumvents the requirement of slow driving in adiabatic strategies.
T. Kato, On the Adiabatic Theorem of Quantum Mechanics, J. Phys. Soc. Japan 5
1950
Earlier work this paper cites.
E. Lieb, T. Schultz, and D. Mattis, Two soluble models of an antiferromagnetic chain, Annals of Physics 16
1961
Earlier work this paper cites.
L. Garrido and F. Sancho, Degree of approximate validity of the adiabatic invariance in quantum mechanics, Physica 28
1962
Earlier work this paper cites.
S. Katsura, Statistical mechanics of the anisotropic linear heisenberg model, Phys. Rev. 127
1962
Earlier work this paper cites.
H. R. Lewis and W. B. Riesenfeld, An exact quantum theory of the time‐dependent harmonic oscillator and of a charged particle in a time‐dependent electromagnetic field, Journal of Mathematical Physics 10
1969
Earlier work this paper cites.
U. Gaubatz, P. Rudecki, S. Schiemann, and K. Bergmann, Population transfer between molecular vibrational levels by stimulated raman scattering with partially overlapping laser fields. a new concept and experimental results, The Journal of Chemical Physics 92
1990
Earlier work this paper cites.
G. M. V. Viswanath, The Recursion Method: Application to Many-Body Dynamics (Springer-Verlag, 1994)
1994
Earlier work this paper cites.
J. E. Avron and A. Elgart, Adiabatic theorem without a gap condition, Commun. Math. Phys. 203
1999
Earlier work this paper cites.
A. Mostafazadeh, Dynamical Invariants, Adiabatic Approximation and the Geometric Phase (Nova Science Publishers, 2001)
2001
Earlier work this paper cites.
N. V. Vitanov, T. Halfmann, B. W. Shore, and K. Bergmann, Laser-induced population transfer by adiabatic passage techniques, Annual Review of Physical Chemistry 52
2001
Earlier work this paper cites.
M. Demirplak and S. A. Rice, Adiabatic population transfer with control fields, J. Phys. Chem. A 107
2003
Earlier work this paper cites.
M. B. Hastings, Locality in quantum and markov dynamics on lattices and networks, Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
M. Demirplak and S. A. Rice, Assisted adiabatic passage revisited, J. Phys. Chem. B 109
2005
Earlier work this paper cites.
M. B. Hastings and X.-G. Wen, Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance, Phys. Rev. B 72
2005
Earlier work this paper cites.
M. B. Hastings, Quasi-adiabatic continuation in gapped spin and fermion systems: Goldstone’s theorem and flux periodicity, J. Stat. Mech.: Theory Exp. 2007
2007
Earlier work this paper cites.
M. Demirplak and S. A. Rice, On the consistency, extremal, and global properties of counterdiabatic fields, J. Chem. Phys. 129
2008
Earlier work this paper cites.
D. A. Lidar, A. T. Rezakhani, and A. Hamma, Adiabatic approximation with exponential accuracy for many-body systems and quantum computation, Journal of Mathematical Physics 50
2009
Earlier work this paper cites.
M. V. Berry, Transitionless quantum driving, J. Phys. A: Math. Theor. 42
2009
Earlier work this paper cites.
J.-F. Schaff, X.-L. Song, P. Vignolo, and G. Labeyrie, Fast optimal transition between two equilibrium states, Phys. Rev. A 82
2010
Earlier work this paper cites.
J. G. Muga, X. Chen, S. Ibáñez, I. Lizuain, and A. Ruschhaupt, Transitionless quantum drivings for the harmonic oscillator, Journal of Physics B: Atomic, Molecular and Optical Physics 43
2010
Earlier work this paper cites.
S. Masuda and K. Nakamura, Fast-forward of adiabatic dynamics in quantum mechanics, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466
2010
Earlier work this paper cites.
E. Torrontegui, S. Ibáñez, X. Chen, A. Ruschhaupt, D. Guéry-Odelin, and J. G. Muga, Fast atomic transport without vibrational heating, Phys. Rev. A 83
2011
Earlier work this paper cites.
S. Sachdev, Quantum Phase Transitions (Cambridge University Press, 2011)
2011
Earlier work this paper cites.
M. G. Bason, M. Viteau, N. Malossi, P. Huillery, E. Arimondo, D. Ciampini, R. Fazio, V. Giovannetti, R. Mannella, and O. Morsch, High-fidelity quantum driving, Nature Physics 8
2012
Earlier work this paper cites.
A. del Campo, M. M. Rams, and W. H. Zurek, Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum ising model, Phys. Rev. Lett. 109
2012
Earlier work this paper cites.
S. Ibáñez, X. Chen, E. Torrontegui, J. G. Muga, and A. Ruschhaupt, Multiple schrödinger pictures and dynamics in shortcuts to adiabaticity, Phys. Rev. Lett. 109
2012
Earlier work this paper cites.
J. Liesen and Z. Strakos, Krylov Subspace Methods: Principles and Analysis (Oxford University Press, 2012)
2012
Earlier work this paper cites.
M. B. Hastings, Locality in quantum systems, in Quantum Theory from Small to Large Scales: Lecture Notes of the Les Houches Summer School: Volume 95, August 2010 (Oxford University Press, 2012)
2012
Earlier work this paper cites.
S. Suzuki, J. Inoue, and B. Chakrabarti, Quantum Ising Phases and Transitions in Transverse Ising Models , Lecture Notes in Physics (Springer Berlin Heidelberg, 2012)
2012
Earlier work this paper cites.
E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, Chapter 2 - shortcuts to adiabaticity, in Advances in Atomic, Molecular, and Optical Physics , Vol. 62, edited by E. Arimondo, P. R. Berman, and C. C. Lin (Academic Press, 2013) pp. 117 – 169
2013
Earlier work this paper cites.
J. Zhang, J. H. Shim, I. Niemeyer, T. Taniguchi, T. Teraji, H. Abe, S. Onoda, T. Yamamoto, T. Ohshima, J. Isoya, and D. Suter, Experimental Implementation of Assisted Quantum Adiabatic Passage in a Single Spin, Phys. Rev. Lett. 110
2013
Earlier work this paper cites.
K. Takahashi, Transitionless quantum driving for spin systems, Phys. Rev. E 87
2013
Earlier work this paper cites.
C. Jarzynski, Generating shortcuts to adiabaticity in quantum and classical dynamics, Phys. Rev. A 88
2013
Cited alongside, same era.
A. del Campo, Shortcuts to adiabaticity by counterdiabatic driving, Phys. Rev. Lett. 111
2013
Cited alongside, same era.
G. Vacanti, R. Fazio, S. Montangero, G. M. Palma, M. Paternostro, and V. Vedral, Transitionless quantum driving in open quantum systems, New Journal of Physics 16
2014
Cited alongside, same era.
H. Saberi, T. Opatrný, K. Mølmer, and A. del Campo, Adiabatic tracking of quantum many-body dynamics, Phys. Rev. A 90
2014
Cited alongside, same era.
B. Damski, Counterdiabatic driving of the quantum ising model, Journal of Statistical Mechanics: Theory and Experiment 2014
2014
Cited alongside, same era.
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.
A. Hartmann and W. Lechner, Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing, New Journal of Physics 21
2019
Later among the works it cites.
D. E. Parker, X. Cao, A. Avdoshkin, T. Scaffidi, and E. Altman, A universal operator growth hypothesis, Phys. Rev. X 9
2019
Later among the works it cites.
J. L. F. Barbón, E. Rabinovici, R. Shir, and R. Sinha, On the evolution of operator complexity beyond scrambling, Journal of High Energy Physics 2019
2019
Later among the works it cites.
M. M. Rams, J. Dziarmaga, and W. H. Zurek, Symmetry breaking bias and the dynamics of a quantum phase transition, Phys. Rev. Lett. 123
2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
S. Deffner, C. Jarzynski, and A. del Campo, Classical and quantum shortcuts to adiabaticity for scale-invariant driving, Phys. Rev. X 4
2014
Cited alongside, same era.
T. Opatrný and K. Mølmer, Partial suppression of nonadiabatic transitions, New Journal of Physics 16
2014
Cited alongside, same era.
E. Torrontegui, S. Martínez-Garaot, and J. G. Muga, Hamiltonian engineering via invariants and dynamical algebra, Phys. Rev. A 89
2014
Cited alongside, same era.
S. Martínez-Garaot, E. Torrontegui, X. Chen, and J. G. Muga, Shortcuts to adiabaticity in three-level systems using lie transforms, Phys. Rev. A 89
2014
Cited alongside, same era.
T. Albash and D. A. Lidar, Decoherence in adiabatic quantum computation, Phys. Rev. A 91
2015
Cited alongside, same era.
W. Rohringer, D. Fischer, F. Steiner, I. E. Mazets, J. Schmiedmayer, and M. Trupke, Fast optimal transition between two equilibrium states, Sci. Rep. 5
2015
Cited alongside, same era.
S. Campbell, G. De Chiara, M. Paternostro, G. M. Palma, and R. Fazio, Shortcut to adiabaticity in the lipkin-meshkov-glick model, Phys. Rev. Lett. 114
2015
Cited alongside, same era.
P. Weinberg, M. Tylutki, J. M. Rönkkö, J. Westerholm, J. A. Åström, P. Manninen, P. Törmä, and A. W. Sandvik, Scaling and diabatic effects in quantum annealing with a d-wave device, Phys. Rev. Lett. 124
2020
Later among the works it cites.
Y. Bando, Y. Susa, H. Oshiyama, N. Shibata, M. Ohzeki, F. J. Gómez-Ruiz, D. A. Lidar, S. Suzuki, A. del Campo, and H. Nishimori, Probing the universality of topological defect formation in a quantum annealer: Kibble-zurek mechanism and beyond, Phys. Rev. Research 2
2020
Later among the works it cites.
L. Dupays, I. L. Egusquiza, A. del Campo, and A. Chenu, Superadiabatic thermalization of a quantum oscillator by engineered dephasing, Phys. Rev. Research 2
2020
Later among the works it cites.
S. Alipour, A. Chenu, A. T. Rezakhani, and A. del Campo, Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution, Quantum 4
2020
Later among the works it cites.
M. Beau and A. del Campo, Nonadiabatic energy fluctuations of scale-invariant quantum systems in a time-dependent trap, Entropy 22
2020
Later among the works it cites.
K. Suzuki and K. Takahashi, Performance evaluation of adiabatic quantum computation via quantum speed limits and possible applications to many-body systems, Phys. Rev. Res. 2
2020
Later among the works it cites.
M. Pandey, P. W. Claeys, D. K. Campbell, A. Polkovnikov, and D. Sels, Adiabatic eigenstate deformations as a sensitive probe for quantum chaos, Phys. Rev. X 10
2020
Later among the works it cites.
K. Funo, N. Lambert, and F. Nori, General bound on the performance of counter-diabatic driving acting on dissipative spin systems, Phys. Rev. Lett. 127
2021
Later among the works it cites.
J. Yao, L. Lin, and M. Bukov, Reinforcement learning for many-body ground-state preparation inspired by counterdiabatic driving, Phys. Rev. X 11
2021
Later among the works it cites.
L. Dupays, D. C. Spierings, A. M. Steinberg, and A. del Campo, Delta-kick cooling, time-optimal control of scale-invariant dynamics, and shortcuts to adiabaticity assisted by kicks, Phys. Rev. Research 3
2021
Later among the works it cites.
E. Rabinovici, A. Sánchez-Garrido, R. Shir, and J. Sonner, Operator complexity: a journey to the edge of krylov space, Journal of High Energy Physics 2021
2021
Later among the works it cites.
T. Hatomura and K. Takahashi, Controlling and exploring quantum systems by algebraic expression of adiabatic gauge potential, Phys. Rev. A 103
2021
Later among the works it cites.
A. D. King, S. Suzuki, J. Raymond, A. Zucca, T. Lanting, F. Altomare, A. J. Berkley, S. Ejtemaee, E. Hoskinson, S. Huang, E. Ladizinsky, A. J. R. MacDonald, G. Marsden, T. Oh, G. Poulin-Lamarre, M. Reis, C. Rich, Y. Sato, J. D. Whittaker, J. Yao, R. Harris, D. A. Lidar, H. Nishimori, and M. H. Amin, Coherent quantum annealing in a programmable 2,000 qubit ising chain, Nature Physics 10.1038/s41567-022-01741-6 (2022)
2022
Later among the works it cites.
H. Munoz-Bauza, L. C. Venuti, and D. Lidar, Demonstration of error-suppressed quantum annealing via boundary cancellation (2022)
2022
Later among the works it cites.
Z. Yin, C. Li, J. Allcock, Y. Zheng, X. Gu, M. Dai, S. Zhang, and S. An, Shortcuts to adiabaticity for open systems in circuit quantum electrodynamics, Nature Communications 13
2022
Later among the works it cites.
N. N. Hegade, X. Chen, and E. Solano, Digitized-counterdiabatic quantum optimization (2022)
2022
Later among the works it cites.
J. Yang, S. Pang, Z. Chen, A. N. Jordan, and A. del Campo, Variational principle for optimal quantum controls in quantum metrology, Phys. Rev. Lett. 128
2022
Later among the works it cites.
P. Caputa, J. M. Magan, and D. Patramanis, Geometry of krylov complexity, Phys. Rev. Research 4
2022
Later among the works it cites.
N. Hörnedal, N. Carabba, A. S. Matsoukas-Roubeas, and A. del Campo, Ultimate speed limits to the growth of operator complexity, Communications Physics 5
2022
Later among the works it cites.
M. Nakahara, Counterdiabatic formalism of shortcuts to adiabaticity, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380
2022
Later among the works it cites.
J. Wurtz and P. J. Love, Counterdiabaticity and the quantum approximate optimization algorithm, Quantum 6
2022
Later among the works it cites.
K. Takahashi, Dynamical invariant formalism of shortcuts to adiabaticity, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380
2022
Later among the works it cites.
I. Čepaitė, A. Polkovnikov, A. J. Daley, and C. W. Duncan, Counterdiabatic optimized local driving, PRX Quantum 4
2023
Closest in time.
N. Hörnedal, N. Carabba, K. Takahashi, and A. del Campo, Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth, Quantum 7
2023
Closest in time.
T. Hatomura, Scaling of errors in digitized counterdiabatic driving, New Journal of Physics 25
2023
Closest in time.