Fetching the paper…
Reading the bibliography…
Current implementations of the Variational Quantum Eigensolver (VQE) technique for solving the electronic structure problem involve splitting the system qubit Hamiltonian into parts whose elements commute within their single qubit subspaces.
P. Jordan and E. Wigner, Z. Phys. 47
1928
Earlier work this paper cites.
T. Helgaker, P. Jorgensen, and J. Olsen, Molecular Electronic-structure Theory (Wiley, 2000)
2000
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, Ann. Phys. 298
2002
Earlier work this paper cites.
A. Aspuru-Guzik, A. D. Dutoi, P. J. Love, and M. Head-Gordon, Science 309
2005
Earlier work this paper cites.
M. A. Nielsen, School of Physical Sciences The University of Queensland (2005)
2005
Earlier work this paper cites.
M. A. Nielsen, Reports on Mathematical Physics 57
2006
Earlier work this paper cites.
R. Prevedel, P. Walther, F. Tiefenbacher, P. Böhi, R. Kaltenbaek, T. Jennewein, and A. Zeilinger, Nature 445
2007
Earlier work this paper cites.
J. T. Seeley, M. J. Richard, and P. J. Love, J. Chem. Phys. 137
2012
Earlier work this paper cites.
R. Vijay, C. Macklin, D. H. Slichter, S. J. Weber, K. W. Murch, R. Naik, A. N. Korotkov, and I. Siddiqi, Nature 490
2012
Earlier work this paper cites.
R. Barends, J. Kelly, A. Megrant, D. Sank, E. Jeffrey, Y. Chen, Y. Yin, B. Chiaro, J. Mutus, C. Neill, P. O’Malley, P. Roushan, J. Wenner, T. C. White, A. N. Cleland, and J. M. Martinis, Phys. Rev. Lett. 111
2013
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, Nat. Commun. 5
2014
Cited alongside, same era.
D. Wecker, M. B. Hastings, and M. Troyer, Phys. Rev. A 92
2015
Cited alongside, same era.
A. Tranter, S. Sofia, J. Seeley, M. Kaicher, J. McClean, R. Babbush, P. V. Coveney, F. Mintert, F. Wilhelm, and P. J. Love, Int. J. Quantum Chem. 115
2015
Cited alongside, same era.
D. Ristè and L. DiCarlo, arXiv.org (2015), 1508.01385v1
2015
Cited alongside, same era.
L. M. Procopio, A. Moqanaki, M. Araújo, F. Costa, I. A. Calafell, E. G. Dowd, D. R. Hamel, L. A. Rozema, v. Brukner, and P. Walther, Nature Communications 6
2015
Cited alongside, same era.
A. Kandala, A. Mezzacapo, K. Temme, M. Takita, M. Brink, J. M. Chow, and J. M. Gambetta, Nature 549
2017
Later among the works it cites.
A. Mantri, T. F. Demarie, and J. F. Fitzsimons, Scientific Reports 7
2017
Later among the works it cites.
2017
Later among the works it cites.
S. Bravyi, J. M. Gambetta, A. Mezzacapo, and K. Temme, arXiv.org (2017), 1701.08213v1
2017
Later among the works it cites.
S. McArdle, S. Endo, A. Aspuru-Guzik, S. Benjamin, and X. Yuan, arXiv.org (2018), 1808.10402v1
2018
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
J. R. McClean, J. Romero, R. Babbush, and A. Aspuru-Guzik, N. J. Phys. 18
2016
Cited alongside, same era.
2017
Cited alongside, same era.
K. Setia and J. D. Whitfield, ArXiv e-prints (2017), arXiv:1712.00446 [quant-ph]
2017
Cited alongside, same era.
V. Havlíček, M. Troyer, and J. D. Whitfield, Phys. Rev. A 95
2017
Cited alongside, same era.
Here, we use the notation | ± σ ⟩ n \mathinner{|{\pm_{\sigma}}\delimiter 86414091}_{n} for the n t h n^{th} qubit eigenstates of σ \sigma one-particle operator with ± 1 \pm 1 eigenvalues
Cited in the paper.
To simplify the notation we use freedom in qubit enumeration and assume that we work with the qubit enumeration that follows the described reductive sequence
Cited in the paper.
I. G. Ryabinkin, T.-C. Yen, S. N. Genin, and A. F. Izmaylov, J. Chem. Theory Comput. 14
Cited in the paper.
F. Albarrán-Arriagada, G. A. Barrios, M. Sanz, G. Romero, L. Lamata, J. C. Retamal, and E. Solano, Phys. Rev. A 97
2018
Closest in time.
C. Hempel, C. Maier, J. Romero, J. McClean, T. Monz, H. Shen, P. Jurcevic, B. P. Lanyon, P. Love, R. Babbush, A. Aspuru-Guzik, R. Blatt, and C. F. Roos, Phys. Rev. X 8
2018
Closest in time.
I. G. Ryabinkin, S. N. Genin, and A. F. Izmaylov, J. Chem. Theory Comput. 15
2019
Closest in time.
C. Reimer, S. Sciara, P. Roztocki, M. Islam, L. R. Cortés, Y. Zhang, B. Fischer, S. Loranger, R. Kashyap, A. Cino, S. T. Chu, B. E. Little, D. J. Moss, L. Caspani, W. J. Munro, J. Azaña, M. Kues, and R. Morandotti, Nature Physics 15
2019
Closest in time.