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M. P. Zaletel and F. Pollmann, PHYSICAL REVIEW LETTERS 124
Original
1902
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R. Duncan, A. Kissinger, S. Perdrix, and J. Van De Wetering, Quantum 4
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1902
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T. Soejima, K. Siva, N. Bultinck, S. Chatterjee, F. Pollmann, and M. P. Zaletel, PHYSICAL REVIEW B 101
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M. Otten, C. L. Cortes, and S. K. Gray, ArXiv (2019), arXiv:1910.06284v1
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1910
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S. Ostlund and S. Rommer, PHYSICAL REVIEW LETTERS 75
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M. Cerezo, A. Sone, T. Volkoff, L. Cincio, and P. J. Coles, ArXiv (2020) , arXiv:2001.00550
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2001
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F. Verstraete and J. I. Cirac, ArXiv (2004)
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M. Foss-Feig, D. Hayes, J. M. Dreiling, C. Figgatt, J. P. Gaebler, S. A. Moses, J. M. Pino, and A. C. Potter, PHYSICAL REVIEW RESEARCH 3
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N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac, PHYSICAL REVIEW LETTERS 98
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C. Schön, K. Hammerer, M. M. Wolf, J. I. Cirac, and E. Solano, PHYSICAL REVIEW A 75
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S. Wang, E. Fontana, M. Cerezo, K. Sharma, A. Sone, L. Cincio, and P. J. Coles, ArXiv (2020), arXiv:2007.14384v2
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2007
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B. Schmidt, P. Thalmeier, R. F. Bishop, Y. Li, R. Darradi, and J. Richter, Journal of Physics: Condensed Matter J. Phys.: Condens. Matter 20
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Cited alongside, same era.

Then

J. R. McClean, S. Boixo, V. N. Smelyanskiy, R. Babbush, and H. Neven, Nature Communications 9
2018
Later among the works it cites.
S. Xu and S. Fan, APL Photonics 3
2018
Later among the works it cites.
J. Lee, W. J. Huggins, M. Head-Gordon, and K. B. Whaley, Journal of Chemical Theory and Computation 15
2019
Later among the works it cites.
J.-G. Liu, Y.-H. Zhang, Y. Wan, and L. Wang, PHYSICAL REVIEW RESEARCH 1
2019
Later among the works it cites.
H. R. Grimsley, S. E. Economou, E. Barnes, and N. J. Mayhall, Nature Communications 10
Original
2019
Later among the works it cites.
S. Hadfield, Z. Wang, B. O’Gorman, E. G. Rieffel, D. Venturelli, and R. Biswas, Algorithms 12

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2021

Quantum Circuits For Two-Dimensional Isometric Tensor Networks

Slattery, Lucas, Clark, Bryan K.

Understand

The variational quantum eigensolver (VQE) combines classical and quantum resources in order simulate classically intractable quantum states.

Amongst other variables, successful VQE depends on the choice of variational ansatz for a problem Hamiltonian.
We give a detailed description of a quantum circuit version of the 2D isometric tensor network (isoTNS) ansatz which we call qisoTNS.
We benchmark the performance of qisoTNS on two different 2D spin 1/2 Hamiltonians.

Built on

M. P. Zaletel and F. Pollmann, PHYSICAL REVIEW LETTERS 124
Original
1902
Earlier work this paper cites.
R. Duncan, A. Kissinger, S. Perdrix, and J. Van De Wetering, Quantum 4
Original
1902
Earlier work this paper cites.
T. Soejima, K. Siva, N. Bultinck, S. Chatterjee, F. Pollmann, and M. P. Zaletel, PHYSICAL REVIEW B 101
Original
1908
Earlier work this paper cites.
M. Otten, C. L. Cortes, and S. K. Gray, ArXiv (2019), arXiv:1910.06284v1
Original
1910
Earlier work this paper cites.
S. Ostlund and S. Rommer, PHYSICAL REVIEW LETTERS 75
1995
Earlier work this paper cites.
S. E. Fahlman and C. Lebiere, in Advances in Neural Information Processing Systems 2 (1997)
1997
Earlier work this paper cites.
H. Rieger and N. Kawashima, Eur. Phys. J. B 9
1999
Earlier work this paper cites.
M. Cerezo, A. Sone, T. Volkoff, L. Cincio, and P. J. Coles, ArXiv (2020) , arXiv:2001.00550
Original
2001
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, ArXiv (2004)
2004
Earlier work this paper cites.
M. Foss-Feig, D. Hayes, J. M. Dreiling, C. Figgatt, J. P. Gaebler, S. A. Moses, J. M. Pino, and A. C. Potter, PHYSICAL REVIEW RESEARCH 3
Original
2005
Earlier work this paper cites.
C. Schön, E. Solano, F. Verstraete, J. I. Cirac, and M. M. Wolf, PHYSICAL REVIEW LETTERS 95
2005
Earlier work this paper cites.
T. Volkoff and P. J. Coles, ArXiv (2020), arXiv:2005.12200v2
Original
2005
Earlier work this paper cites.
J. Sirker, Z. Weihong, O. P. Sushkov, and J. Oitmaa, PHYSICAL REVIEW B 73
2006
Earlier work this paper cites.
G. E. Hinton and S. Osindero, Neural Computation 18
2006
Earlier work this paper cites.
Y. Bengio, P. Lamblin, D. Popovici, and H. Larochelle, in Advances in Neural Information Processing Systems 19 (2006)
2006
Earlier work this paper cites.
C. Lyu, V. Montenegro, and A. Bayat, Quantum 4
Original
2006
Earlier work this paper cites.
N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac, PHYSICAL REVIEW LETTERS 98
2007
Earlier work this paper cites.
C. Schön, K. Hammerer, M. M. Wolf, J. I. Cirac, and E. Solano, PHYSICAL REVIEW A 75
2007
Earlier work this paper cites.

Similar

S. Wang, E. Fontana, M. Cerezo, K. Sharma, A. Sone, L. Cincio, and P. J. Coles, ArXiv (2020), arXiv:2007.14384v2
Original
2007
Cited alongside, same era.
B. Schmidt, P. Thalmeier, R. F. Bishop, Y. Li, R. Darradi, and J. Richter, Journal of Physics: Condensed Matter J. Phys.: Condens. Matter 20
2008
Cited alongside, same era.
N. H. Lindner and T. Rudolph, PHYSICAL REVIEW LETTERS 103
2009
Cited alongside, same era.
C. O. Marrero, M. Kieferová, and N. Wiebe, ArXiv (2021), arXiv:2010.15968v2
Original
2010
Cited alongside, same era.
A. Pesah, M. Cerezo, S. Wang, T. Volkoff, A. T. Sornborger, and P. J. Coles, ArXiv (2020), arXiv:2011.02966v1
Original
2011
Cited alongside, same era.

Then

J. R. McClean, S. Boixo, V. N. Smelyanskiy, R. Babbush, and H. Neven, Nature Communications 9
2018
Later among the works it cites.
S. Xu and S. Fan, APL Photonics 3
2018
Later among the works it cites.
J. Lee, W. J. Huggins, M. Head-Gordon, and K. B. Whaley, Journal of Chemical Theory and Computation 15
2019
Later among the works it cites.
J.-G. Liu, Y.-H. Zhang, Y. Wan, and L. Wang, PHYSICAL REVIEW RESEARCH 1
2019
Later among the works it cites.
H. R. Grimsley, S. E. Economou, E. Barnes, and N. J. Mayhall, Nature Communications 10
Original
2019
Later among the works it cites.
S. Hadfield, Z. Wang, B. O’Gorman, E. G. Rieffel, D. Venturelli, and R. Biswas, Algorithms 12

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

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K. Zhang, M.-H. Hsieh, L. Liu, and D. Tao, ArXiv (2020), arXiv:2011.06258v2

Original

2011

Cited alongside, same era.

M. Schwarz, K. Temme, and F. Verstraete, PHYSICAL REVIEW LETTERS 108

2012

Cited alongside, same era.

T. L. Patti, K. Najafi, X. Gao, and S. F. Yelin, Physical Review Research 3

Original

2012

Cited alongside, same era.

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2014

Cited alongside, same era.

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Original

2014

Cited alongside, same era.

I. Schwartz, D. Cogan, E. R. Schmidgall, Y. Don, L. Gantz, O. Kenneth, N. H. Lindner, and D. Gershoni, Science 354

2016

Cited alongside, same era.

E. Farhi, J. Goldstone, and S. Gutmann, ArXiv (2017), arXiv:1411.4028v1

Original

2017

Cited alongside, same era.

Original

2019