Built on

B. O’Gorman, W. J. Huggins, E. G. Rieffel, and K. B. Whaley, (2019), arXiv:1905.05118 [quant-ph]
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1905
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T.-C. Yen, V. Verteletskyi, and A. F. Izmaylov, (2020), arXiv:1907.09386 [quant-ph]
Original
1907
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A. F. Izmaylov, T.-C. Yen, R. A. Lang, and V. Verteletskyi, (2019b), arXiv:1907.09040 [quant-ph]
Original
1907
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P. Gokhale, O. Angiuli, Y. Ding, K. Gui, T. Tomesh, M. Suchara, M. Martonosi, and F. T. Chong, (2019), arXiv:1907.13623 [quant-ph]
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1907
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C. Bravo-Prieto, R. LaRose, M. Cerezo, Y. Subasi, L. Cincio, and P. J. Coles, (2020), arXiv:1909.05820 [quant-ph]
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1909
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H.-Y. Huang, K. Bharti, and P. Rebentrost, (2019), arXiv:1909.07344 [quant-ph]
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1909
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W. Hoeffding, The Annals of Mathematical Statistics 19
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C. Hadfield, S. Bravyi, R. Raymond, and A. Mezzacapo, (2020), arXiv:2006.15788 [quant-ph]
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2006
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T. Kim, M. Fiorentino, and F. N. C. Wong, Phys. Rev. A 73
2006
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K. Fujii, K. Mitarai, W. Mizukami, and Y. O. Nakagawa, (2020), arXiv:2007.10917 [quant-ph]
Original
2007
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B. Commeau, M. Cerezo, Z. Holmes, L. Cincio, P. J. Coles, and A. Sornborger, (2020), arXiv:2009.02559 [quant-ph]
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2009
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R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. 81
2009
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S. O. Skrøvseth and S. D. Bartlett, Phys. Rev. A 80
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2009
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A. Zhao, N. C. Rubin, and A. Miyake, (2020b), arXiv:2010.16094 [quant-ph]
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2010
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S. Chen, W. Yu, P. Zeng, and S. T. Flammia, (2021), arXiv:2011.09636 [quant-ph]
Original
2011
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Z.-J. Zhang, J. Sun, X. Yuan, and M.-H. Yung, (2020), arXiv:2011.05283 [quant-ph]
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2011
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W. Son, L. Amico, R. Fazio, A. Hamma, S. Pascazio, and V. Vedral, EPL (Europhysics Letters) 95
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M. Cerezo, A. Arrasmith, R. Babbush, S. C. Benjamin, S. Endo, K. Fujii, J. R. McClean, K. Mitarai, X. Yuan, L. Cincio, and P. J. Coles, (2020), arXiv:2012.09265 [quant-ph]
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2012
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A. Peruzzo, J. McClean, P. Shadbolt, M.-H. Yung, X.-Q. Zhou, P. J. Love, A. Aspuru-Guzik, and J. L. O’Brien, Nature Communications 5
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J. R. McClean, J. Romero, R. Babbush, and A. Aspuru-Guzik, New Journal of Physics 18
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P. J. J. O’Malley, R. Babbush, I. D. Kivlichan, J. Romero, J. R. McClean, R. Barends, J. Kelly, P. Roushan, A. Tranter, N. Ding, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, A. G. Fowler, E. Jeffrey, E. Lucero, A. Megrant, J. Y. Mutus, M. Neeley, C. Neill, C. Quintana, D. Sank, A. Vainsencher, J. Wenner, T. C. White, P. V. Coveney, P. J. Love, H. Neven, A. Aspuru-Guzik, and J. M. Martinis, Phys. Rev. X 6
2016
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Z. Webb, (2016), arXiv:1510.02769 [quant-ph]
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2016
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A. Kandala, A. Mezzacapo, K. Temme, M. Takita, M. Brink, J. M. Chow, and J. M. Gambetta, Nature 549
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Similar

Y. Li and S. C. Benjamin, Phys. Rev. X 7
2017
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K. Temme, S. Bravyi, and J. M. Gambetta, Phys. Rev. Lett. 119
2017
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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, Phys. Rev. X 8
2018
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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
Cited alongside, same era.
N. C. Rubin, R. Babbush, and J. McClean, New Journal of Physics 20
2018
Cited alongside, same era.
G. Torlai, G. Mazzola, J. Carrasquilla, M. Troyer, R. Melko, and G. Carleo, Nature Physics 14

Then

A. Elben, R. Kueng, H.-Y. R. Huang, R. van Bijnen, C. Kokail, M. Dalmonte, P. Calabrese, B. Kraus, J. Preskill, P. Zoller, and B. Vermersch, Phys. Rev. Lett. 125
2020
Later among the works it cites.
K. Kowalski and B. Peng, The Journal of Chemical Physics 153
2020
Later among the works it cites.
H. J. Vallury, M. A. Jones, C. D. Hill, and L. C. L. Hollenberg, Quantum 4
2020
Later among the works it cites.
J. R. McClean, Z. Jiang, N. C. Rubin, R. Babbush, and H. Neven, Nature Communications 11
2020
Later among the works it cites.
S. Endo, Z. Cai, S. C. Benjamin, and X. Yuan, Journal of the Physical Society of Japan 90
2021
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, (2021), arXiv:2101.08448 [quant-ph]

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2021

Experimental quantum state measurement with classical shadows

Zhang, Ting, Sun, Jinzhao, Fang, Xiao-Xu et al.

Understand

A crucial subroutine for various quantum computing and communication algorithms is to efficiently extract different classical properties of quantum states.

In a notable recent theoretical work by Huang, Kueng, and Preskill [Nat.
Phys.
16, 1050 (2020)], a thrifty scheme showed how to project the quantum state into classical shadows and simultaneously predict $M$ different functions of a state with only $\mathcal{O}(\log_2 M)$ measurements, independent of the system size and saturating the information-theoretical limit.

Built on

B. O’Gorman, W. J. Huggins, E. G. Rieffel, and K. B. Whaley, (2019), arXiv:1905.05118 [quant-ph]
Original
1905
Earlier work this paper cites.
T.-C. Yen, V. Verteletskyi, and A. F. Izmaylov, (2020), arXiv:1907.09386 [quant-ph]
Original
1907
Earlier work this paper cites.
A. F. Izmaylov, T.-C. Yen, R. A. Lang, and V. Verteletskyi, (2019b), arXiv:1907.09040 [quant-ph]
Original
1907
Earlier work this paper cites.
P. Gokhale, O. Angiuli, Y. Ding, K. Gui, T. Tomesh, M. Suchara, M. Martonosi, and F. T. Chong, (2019), arXiv:1907.13623 [quant-ph]
Original
1907
Earlier work this paper cites.
C. Bravo-Prieto, R. LaRose, M. Cerezo, Y. Subasi, L. Cincio, and P. J. Coles, (2020), arXiv:1909.05820 [quant-ph]
Original
1909
Earlier work this paper cites.
H.-Y. Huang, K. Bharti, and P. Rebentrost, (2019), arXiv:1909.07344 [quant-ph]
Original
1909
Earlier work this paper cites.
W. Hoeffding, The Annals of Mathematical Statistics 19
1948
Earlier work this paper cites.
C. Hadfield, S. Bravyi, R. Raymond, and A. Mezzacapo, (2020), arXiv:2006.15788 [quant-ph]
Original
2006
Earlier work this paper cites.
T. Kim, M. Fiorentino, and F. N. C. Wong, Phys. Rev. A 73
2006
Earlier work this paper cites.
K. Fujii, K. Mitarai, W. Mizukami, and Y. O. Nakagawa, (2020), arXiv:2007.10917 [quant-ph]
Original
2007
Earlier work this paper cites.
B. Commeau, M. Cerezo, Z. Holmes, L. Cincio, P. J. Coles, and A. Sornborger, (2020), arXiv:2009.02559 [quant-ph]
Original
2009
Earlier work this paper cites.
R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. 81
2009
Earlier work this paper cites.
S. O. Skrøvseth and S. D. Bartlett, Phys. Rev. A 80
Original
2009
Earlier work this paper cites.
A. Zhao, N. C. Rubin, and A. Miyake, (2020b), arXiv:2010.16094 [quant-ph]
Original
2010
Earlier work this paper cites.
S. Chen, W. Yu, P. Zeng, and S. T. Flammia, (2021), arXiv:2011.09636 [quant-ph]
Original
2011
Earlier work this paper cites.
Z.-J. Zhang, J. Sun, X. Yuan, and M.-H. Yung, (2020), arXiv:2011.05283 [quant-ph]
Original
2011
Earlier work this paper cites.
W. Son, L. Amico, R. Fazio, A. Hamma, S. Pascazio, and V. Vedral, EPL (Europhysics Letters) 95
2011
Earlier work this paper cites.
M. Cerezo, A. Arrasmith, R. Babbush, S. C. Benjamin, S. Endo, K. Fujii, J. R. McClean, K. Mitarai, X. Yuan, L. Cincio, and P. J. Coles, (2020), arXiv:2012.09265 [quant-ph]
Original
2012
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, Nature Communications 5
2014
Earlier work this paper cites.
D. Wecker, M. B. Hastings, and M. Troyer, Phys. Rev. A 92
2015
Earlier work this paper cites.
J. R. McClean, J. Romero, R. Babbush, and A. Aspuru-Guzik, New Journal of Physics 18
2016
Earlier work this paper cites.
P. J. J. O’Malley, R. Babbush, I. D. Kivlichan, J. Romero, J. R. McClean, R. Barends, J. Kelly, P. Roushan, A. Tranter, N. Ding, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, A. G. Fowler, E. Jeffrey, E. Lucero, A. Megrant, J. Y. Mutus, M. Neeley, C. Neill, C. Quintana, D. Sank, A. Vainsencher, J. Wenner, T. C. White, P. V. Coveney, P. J. Love, H. Neven, A. Aspuru-Guzik, and J. M. Martinis, Phys. Rev. X 6
2016
Earlier work this paper cites.
Z. Webb, (2016), arXiv:1510.02769 [quant-ph]
Original
2016
Earlier work this paper cites.
A. Kandala, A. Mezzacapo, K. Temme, M. Takita, M. Brink, J. M. Chow, and J. M. Gambetta, Nature 549
2017
Earlier work this paper cites.

Similar

Y. Li and S. C. Benjamin, Phys. Rev. X 7
2017
Cited alongside, same era.
K. Temme, S. Bravyi, and J. M. Gambetta, Phys. Rev. Lett. 119
2017
Cited alongside, same era.
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, Phys. Rev. X 8
2018
Cited alongside, same era.
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
Cited alongside, same era.
N. C. Rubin, R. Babbush, and J. McClean, New Journal of Physics 20
2018
Cited alongside, same era.
G. Torlai, G. Mazzola, J. Carrasquilla, M. Troyer, R. Melko, and G. Carleo, Nature Physics 14

Then

A. Elben, R. Kueng, H.-Y. R. Huang, R. van Bijnen, C. Kokail, M. Dalmonte, P. Calabrese, B. Kraus, J. Preskill, P. Zoller, and B. Vermersch, Phys. Rev. Lett. 125
2020
Later among the works it cites.
K. Kowalski and B. Peng, The Journal of Chemical Physics 153
2020
Later among the works it cites.
H. J. Vallury, M. A. Jones, C. D. Hill, and L. C. L. Hollenberg, Quantum 4
2020
Later among the works it cites.
J. R. McClean, Z. Jiang, N. C. Rubin, R. Babbush, and H. Neven, Nature Communications 11
2020
Later among the works it cites.
S. Endo, Z. Cai, S. C. Benjamin, and X. Yuan, Journal of the Physical Society of Japan 90
2021
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, (2021), arXiv:2101.08448 [quant-ph]

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

2018

Cited alongside, same era.

R. Babbush, N. Wiebe, J. McClean, J. McClain, H. Neven, and G. K.-L. Chan, Phys. Rev. X 8

2018

Cited alongside, same era.

H. Lu, Q. Zhao, Z.-D. Li, X.-F. Yin, X. Yuan, J.-C. Hung, L.-K. Chen, L. Li, N.-L. Liu, C.-Z. Peng, Y.-C. Liang, X. Ma, Y.-A. Chen, and J.-W. Pan, Phys. Rev. X 8

2018

Cited alongside, same era.

X. Yuan, S. Endo, Q. Zhao, Y. Li, and S. C. Benjamin, Quantum 3

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. D. Sawaya, S. Sim, L. Veis, and A. Aspuru-Guzik, Chem. Rev. 119

2019

Cited alongside, same era.

J. Carrasquilla, G. Torlai, R. G. Melko, and L. Aolita, Nature Machine Intelligence 1

2019

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, et al. , Nature 569

2019

Cited alongside, same era.

Original

2021

Closest in time.

W. J. Huggins, J. R. McClean, N. C. Rubin, Z. Jiang, N. Wiebe, K. B. Whaley, and R. Babbush, npj Quantum Information 7

2021

Closest in time.

X. Yuan, J. Sun, J. Liu, Q. Zhao, and Y. Zhou, Phys. Rev. Lett. 127

2021

Closest in time.

X. Xu, J. Sun, S. Endo, Y. Li, S. C. Benjamin, and X. Yuan, Science Bulletin (2021), https://doi.org/10.1016/j.scib.2021.06.023

2021

Closest in time.

H.-Y. Huang, R. Kueng, and J. Preskill, Phys. Rev. Lett. 126

2021

Closest in time.

G. Struchalin, Y. A. Zagorovskii, E. Kovlakov, S. Straupe, and S. Kulik, PRX Quantum 2

2021

Closest in time.

A. Acharya, S. Saha, and A. M. Sengupta, (2021), arXiv:2105.05992 [quant-ph]

Original

2021

Closest in time.

C. Hadfield, (2021), arXiv:2105.12207 [quant-ph]

Original

2021

Closest in time.

S. Hillmich, C. Hadfield, R. Raymond, A. Mezzacapo, and R. Wille, (2021), arXiv:2105.06932 [quant-ph]

Original

2021

Closest in time.

R. J. Garcia, Y. Zhou, and A. Jaffe, (2021), arXiv:2102.01008 [quant-ph]

Original

2021

Closest in time.

B. Wu, J. Sun, Q. Huang, and X. Yuan, (2021), arXiv:2105.13091 [quant-ph]

Original

2021

Closest in time.

A. Neven, J. Carrasco, V. Vitale, C. Kokail, A. Elben, M. Dalmonte, P. Calabrese, P. Zoller, B. Vermersch, R. Kueng, and B. Kraus, (2021), arXiv:2103.07443 [quant-ph]

Original

2021

Closest in time.

V. Vitale, A. Elben, R. Kueng, A. Neven, J. Carrasco, B. Kraus, P. Zoller, P. Calabrese, B. Vermersch, and M. Dalmonte, (2021), arXiv:2101.07814 [cond-mat.stat-mech]

Original

2021

Closest in time.

See Supplemental Materials for the framework, theoretical analysis, experimental implementations and results, which includes Refs. Son et al. 2011 ; Skrøvseth and Bartlett 2009 ; Webb 2016 ; Li et al. 2021

2021

Closest in time.

Q.-M. Ding, X.-X. Fang, X. Yuan, T. Zhang, and H. Lu, Phys. Rev. Research 3

2021

Closest in time.

H. L. Tang, V. Shkolnikov, G. S. Barron, H. R. Grimsley, N. J. Mayhall, E. Barnes, and S. E. Economou, PRX Quantum 2

2021

Closest in time.

S. Bravyi, S. Sheldon, A. Kandala, D. C. Mckay, and J. M. Gambetta, Phys. Rev. A 103

2021

Closest in time.

D. Su, R. Israel, K. Sharma, H. Qi, I. Dhand, and K. Brádler, Quantum 5

2021

Closest in time.

J.-Y. Li, X.-X. Fang, T. Zhang, G. N. M. Tabia, H. Lu, and Y.-C. Liang, Phys. Rev. Research 3

2021

Closest in time.