Fetching the paper…
Reading the bibliography…
We present shadow spectroscopy as a simulator-agnostic quantum algorithm for estimating energy gaps using very few circuit repetitions (shots) and no extra resources (ancilla qubits) beyond performing time evolution and measurements.
J. M. Foster and S. F. Boys, Quantum variational calculations for a range of c h 2 {\mathrm{h}}_{2} configurations, Rev. Mod. Phys. 32
1960
Earlier work this paper cites.
G. E. Box and D. A. Pierce, Distribution of residual autocorrelations in autoregressive-integrated moving average time series models, Journal of the American statistical Association 65
1970
Earlier work this paper cites.
G. M. Ljung and G. E. Box, On a measure of lack of fit in time series models, Biometrika 65
1978
Earlier work this paper cites.
I. Shavitt, Geometry and singlet-triplet energy gap in methylene: a critical review of experimental and theoretical determinations, Tetrahedron 41
1985
Earlier work this paper cites.
H. F. Schaefer, Methylene: A paradigm for computational quantum chemistry, Science 231
1986
Earlier work this paper cites.
M. H. Hayes, Statistical digital signal processing and modeling (John Wiley & Sons, 1996)
1996
Earlier work this paper cites.
C. D. Sherrill, M. L. Leininger, T. J. Van Huis, and H. F. Schaefer, Structures and vibrational frequencies in the full configuration interaction limit: Predictions for four electronic states of methylene using a triple-zeta plus double polarization (tz2p) basis, The Journal of Chemical Physics 108
1998
Earlier work this paper cites.
J. Singleton, Band Theory and Electronic Properties of Solids , Oxford master series in condensed matter physics (Oxford University Press, 2001)
2001
Earlier work this paper cites.
G. Vidal, Efficient classical simulation of slightly entangled quantum computations, Physical review letters 91
2003
Earlier work this paper cites.
D. W. Berry, G. Ahokas, R. Cleve, and B. C. Sanders, Efficient quantum algorithms for simulating sparse hamiltonians, Communications in Mathematical Physics 270
2007
Earlier work this paper cites.
I. Santamaria and J. Via, Estimation of the magnitude squared coherence spectrum based on reduced-rank canonical coordinates, in 2007 IEEE International Conference on Acoustics, Speech and Signal Processing-ICASSP’07 , Vol. 3 (IEEE, 2007) pp. III–985
2007
Earlier work this paper cites.
M. Silva, E. Magesan, D. W. Kribs, and J. Emerson, Scalable protocol for identification of correctable codes, Phys. Rev. A 78
2008
Earlier work this paper cites.
D. Ramirez, J. Via, and I. Santamaria, A generalization of the magnitude squared coherence spectrum for more than two signals: definition, properties and estimation, in 2008 IEEE International Conference on Acoustics, Speech and Signal Processing (IEEE, 2008) pp. 3769–3772
2008
Earlier work this paper cites.
J. F. Harrison, Methylene: A personal perspective, in Advances in the Theory of Atomic and Molecular Systems: Conceptual and Computational Advances in Quantum Chemistry , edited by P. Piecuch, J. Maruani, G. Delgado-Barrio, and S. Wilson (Springer Netherlands, Dordrecht, 2009) pp. 33–43
2009
Earlier work this paper cites.
F. Verstraete, J. I. Cirac, and J. I. Latorre, Quantum circuits for strongly correlated quantum systems, Phys. Rev. A 79
2009
Earlier work this paper cites.
L. Veis and J. Pittner, Quantum computing applied to calculations of molecular energies: Ch2 benchmark, The Journal of Chemical Physics 133
2010
Earlier work this paper cites.
U. Schneider, L. Hackermüller, J. P. Ronzheimer, S. Will, S. Braun, T. Best, I. Bloch, E. Demler, S. Mandt, D. Rasch, and A. Rosch, Fermionic transport and out-of-equilibrium dynamics in a homogeneous hubbard model with ultracold atoms, Nature Physics 8
2012
Earlier work this paper cites.
E. Magesan, J. M. Gambetta, and J. Emerson, Characterizing quantum gates via randomized benchmarking, Phys. Rev. A 85
2012
Earlier work this paper cites.
M. A. Davenport, M. F. Duarte, Y. C. Eldar, and G. Kutyniok, Introduction to compressed sensing, in Compressed Sensing: Theory and Applications (Cambridge University Press, 2012) pp. 1–64
2012
Earlier work this paper cites.
A. D. Bookatz, QMA-complete problems, arXiv preprint arXiv:1212.6312 (2012)
2012
Earlier work this paper cites.
J. Haegeman, S. Michalakis, B. Nachtergaele, T. J. Osborne, N. Schuch, and F. Verstraete, Elementary excitations in gapped quantum spin systems, Phys. Rev. Lett. 111
2013
Earlier work this paper cites.
2014
Earlier work this paper cites.
A. Peruzzo, J. McClean, P. Shadbolt, M.-H. Yung, X.-Q. Zhou, P. J. Love, A. Aspuru-Guzik, and J. L. O’brien, A variational eigenvalue solver on a photonic quantum processor, Nature Communications 5
2014
Earlier work this paper cites.
L. Veis and J. Pittner, Adiabatic state preparation study of methylene, The Journal of Chemical Physics 140
2014
Earlier work this paper cites.
B. Yoshimura, W. Campbell, and J. Freericks, Diabatic-ramping spectroscopy of many-body excited states, Physical Review A 90
2014
Earlier work this paper cites.
D. W. Berry, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, Simulating hamiltonian dynamics with a truncated taylor series, Phys. Rev. Lett. 114
2015
Earlier work this paper cites.
R. A. Hart, P. M. Duarte, T.-L. Yang, X. Liu, T. Paiva, E. Khatami, R. T. Scalettar, N. Trivedi, D. A. Huse, and R. G. Hulet, Observation of antiferromagnetic correlations in the hubbard model with ultracold atoms, Nature 519
2015
Earlier work this paper cites.
D. J. Luitz, N. Laflorencie, and F. Alet, Many-body localization edge in the random-field heisenberg chain, Physical Review B 91
2015
Earlier work this paper cites.
R. Nandkishore and D. A. Huse, Many-body localization and thermalization in quantum statistical mechanics, Annu. Rev. Condens. Matter Phys. 6
2015
Earlier work this paper cites.
A. Richards, University of oxford advanced research computing (2015)
2015
Earlier work this paper cites.
T. S. Cubitt, D. Perez-Garcia, and M. M. Wolf, Undecidability of the spectral gap, Nature 528
2015
Earlier work this paper cites.
I. Zintchenko and N. Wiebe, Randomized gap and amplitude estimation, Phys. Rev. A 93
2016
Earlier work this paper cites.
G. H. Low and I. L. Chuang, Optimal hamiltonian simulation by quantum signal processing, Phys. Rev. Lett. 118
2017
Earlier work this paper cites.
Y. Li and S. C. Benjamin, Efficient variational quantum simulator incorporating active error minimization, Phys. Rev. X 7
2017
Earlier work this paper cites.
L. Tarruell and L. Sanchez-Palencia, Quantum simulation of the hubbard model with ultracold fermions in optical lattices (2018)
2018
Earlier work this paper cites.
A. M. Childs, D. Maslov, Y. Nam, N. J. Ross, and Y. Su, Toward the first quantum simulation with quantum speedup, Proceedings of the National Academy of Sciences 115
2018
Earlier work this paper cites.
S. Malekpour, J. A. Gubner, and W. A. Sethares, Measures of generalized magnitude-squared coherence: Differences and similarities, Journal of the Franklin Institute 355
2018
Earlier work this paper cites.
J. R. McClean, S. Boixo, V. N. Smelyanskiy, R. Babbush, and H. Neven, Barren plateaus in quantum neural network training landscapes, Nature Communications 9
2018
Cited alongside, same era.
I. D. Kivlichan, J. McClean, N. Wiebe, C. Gidney, A. Aspuru-Guzik, G. K.-L. Chan, and R. Babbush, Quantum simulation of electronic structure with linear depth and connectivity, Phys. Rev. Lett. 120
2018
Cited alongside, same era.
C. Kokail, C. Maier, R. van Bijnen, T. Brydges, M. K. Joshi, P. Jurcevic, C. A. Muschik, P. Silvi, R. Blatt, C. F. Roos, and P. Zoller, Self-verifying variational quantum simulation of lattice models, Nature 569
2019
Cited alongside, same era.
Y. Cao, J. Romero, J. P. Olson, M. Degroote, P. D. Johnson, M. Kieferová, I. D. Kivlichan, T. Menke, B. Peropadre, N. P. Sawaya, et al. , Quantum chemistry in the age of quantum computing, Chemical reviews 119
2019
Cited alongside, same era.
C. Kokail, R. van Bijnen, A. Elben, B. Vermersch, and P. Zoller, Entanglement hamiltonian tomography in quantum simulation, Nature Physics 17
2021
Later among the works it cites.
H. H. S. Chan, N. Fitzpatrick, J. Segarra-Martí, M. J. Bearpark, and D. P. Tew, Molecular excited state calculations with adaptive wavefunctions on a quantum eigensolver emulation: reducing circuit depth and separating spin states, Physical Chemistry Chemical Physics 23
2021
Later among the works it cites.
N. P. Bauman, H. Liu, E. J. Bylaska, S. Krishnamoorthy, G. H. Low, C. E. Granade, N. Wiebe, N. A. Baker, B. Peng, M. Roetteler, M. Troyer, and K. Kowalski, Toward quantum computing for high-energy excited states in molecular systems: Quantum phase estimations of core-level states, Journal of Chemical Theory and Computation 17
2021
Later among the works it cites.
A. E. Russo, K. M. Rudinger, B. C. Morrison, and A. D. Baczewski, Evaluating energy differences on a quantum computer with robust phase estimation, Phys. Rev. Lett. 126
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
G. H. Low and I. L. Chuang, Hamiltonian Simulation by Qubitization, Quantum 3
2019
Cited alongside, same era.
S. Endo, Q. Zhao, Y. Li, S. Benjamin, and X. Yuan, Mitigating algorithmic errors in a hamiltonian simulation, Phys. Rev. A 99
2019
Cited alongside, same era.
Z. Cai and S. C. Benjamin, Constructing smaller pauli twirling sets for arbitrary error channels, Sci. Rep. 9
2019
Cited alongside, same era.
S. McArdle, T. Jones, S. Endo, Y. Li, S. C. Benjamin, and X. Yuan, Variational ansatz-based quantum simulation of imaginary time evolution, npj Quantum Information 5
2019
Cited alongside, same era.
E. Campbell, Random compiler for fast hamiltonian simulation, Physical Review Letters 123
2019
Cited alongside, same era.
2019
Cited alongside, same era.
O. Higgott, D. Wang, and S. Brierley, Variational quantum computation of excited states, Quantum 3
2019
Cited alongside, same era.
T. Jones, S. Endo, S. McArdle, X. Yuan, and S. C. Benjamin, Variational quantum algorithms for discovering hamiltonian spectra, Physical Review A 99
2019
Cited alongside, same era.
2021
Later among the works it cites.
2021
Later among the works it cites.
D. Jafferis, A. Zlokapa, J. D. Lykken, D. K. Kolchmeyer, S. I. Davis, N. Lauk, H. Neven, and M. Spiropulu, Traversable wormhole dynamics on a quantum processor, Nature 612
2022
Closest in time.
M. Motta and J. E. Rice, Emerging quantum computing algorithms for quantum chemistry, WIREs Computational Molecular Science 12
2022
Closest in time.
2022
Closest in time.
G. Boyd and B. Koczor, Training variational quantum circuits with covar: Covariance root finding with classical shadows, Phys. Rev. X 12
2022
Closest in time.
K. Bharti, A. Cervera-Lierta, T. H. Kyaw, T. Haug, S. Alperin-Lea, A. Anand, M. Degroote, H. Heimonen, J. S. Kottmann, T. Menke, W.-K. Mok, S. Sim, L.-C. Kwek, and A. Aspuru-Guzik, Noisy intermediate-scale quantum algorithms, Rev. Mod. Phys. 94
2022
Closest in time.
S. Lee, J. Lee, H. Zhai, Y. Tong, A. M. Dalzell, A. Kumar, P. Helms, J. Gray, Z.-H. Cui, W. Liu, M. Kastoryano, R. Babbush, J. Preskill, D. R. Reichman, E. T. Campbell, E. F. Valeev, L. Lin, and G. K.-L. Chan, Is there evidence for exponential quantum advantage in quantum chemistry? (2022)
2022
Closest in time.
2022
Closest in time.
2022
Closest in time.
2022
Closest in time.
2022
Closest in time.
K. P. Gnatenko, H. Laba, and V. Tkachuk, Energy levels estimation on a quantum computer by evolution of a physical quantity, Physics Letters A 424
2022
Closest in time.
B. Koczor and S. C. Benjamin, Quantum natural gradient generalized to noisy and nonunitary circuits, Phys. Rev. A 106
2022
Closest in time.
2022
Closest in time.
2022
Closest in time.
K. M. Sherbert, N. Naimipour, H. Safavi, H. C. Shaw, and M. Soltanalian, Quantum compressive sensing: Mathematical machinery, quantum algorithms, and quantum circuitry, Applied Sciences 12
2022
Closest in time.
2022
Closest in time.
T. V. Zache, C. Kokail, B. Sundar, and P. Zoller, Entanglement spectroscopy and probing the li-haldane conjecture in topological quantum matter, Quantum 6
2022
Closest in time.
R. Meister, pyQuEST - a Python interface for the Quantum Exact Simulation Toolkit (2022)
2022
Closest in time.
J. P. T. Stenger, G. Ben-Shach, D. Pekker, and N. T. Bronn, Simulating spectroscopy experiments with a superconducting quantum computer, Phys. Rev. Research 4
2022
Closest in time.
A. Asthana, A. Kumar, V. Abraham, H. Grimsley, Y. Zhang, L. Cincio, S. Tretiak, P. A. Dub, S. E. Economou, E. Barnes, and N. J. Mayhall, Equation-of-motion variational quantum eigensolver method for computing molecular excitation energies, ionization potentials, and electron affinities (2022)
2022
Closest in time.
W. Kirby, M. Motta, and A. Mezzacapo, Exact and efficient lanczos method on a quantum computer (2022)
2022
Closest in time.
K. Klymko, C. Mejuto-Zaera, S. J. Cotton, F. Wudarski, M. Urbanek, D. Hait, M. Head-Gordon, K. B. Whaley, J. Moussa, N. Wiebe, W. A. de Jong, and N. M. Tubman, Real-time evolution for ultracompact hamiltonian eigenstates on quantum hardware, PRX Quantum 3
2022
Closest in time.
L. Lin and Y. Tong, Heisenberg-limited ground-state energy estimation for early fault-tolerant quantum computers, PRX Quantum 3
2022
Closest in time.
H. Jnane, B. Undseth, Z. Cai, S. C. Benjamin, and B. Koczor, Multicore quantum computing, Phys. Rev. Appl. 18
2022
Closest in time.
Y. Kim, A. Eddins, S. Anand, K. X. Wei, E. Van Den Berg, S. Rosenblatt, H. Nayfeh, Y. Wu, M. Zaletel, K. Temme, et al. , Evidence for the utility of quantum computing before fault tolerance, Nature 618
2023
Closest in time.
2023
Closest in time.
2023
Closest in time.
G. Wang, D. S. França, R. Zhang, S. Zhu, and P. D. Johnson, Quantum algorithm for ground state energy estimation using circuit depth with exponentially improved dependence on precision, Quantum 7
2023
Closest in time.
Z. Ding and L. Lin, Simultaneous estimation of multiple eigenvalues with short-depth quantum circuit on early fault-tolerant quantum computers, Quantum 7
2023
Closest in time.
2023
Closest in time.
2024
Closest in time.