Fetching the paper…
Reading the bibliography…
Motivated by the recent experimental demonstrations of quantum supremacy, proving the hardness of the output of random quantum circuits is an imperative near term goal.
L. Stockmeyer, “On approximation algorithms for # 𝖯 \#\mathsf{P} ,” SIAM Journal on Computing , vol. 14, no. 4, pp. 849–861, 1985
1985
Earlier work this paper cites.
R. P. Feynman, “Quantum mechanical computers,” Foundations of physics , vol. 16, no. 6, pp. 507–531, 1986
1986
Earlier work this paper cites.
L. R. Welch and E. R. Berlekamp, “Error correction for algebraic block codes,” Dec. 30 1986, uS Patent 4 633 470
1986
Earlier work this paper cites.
R. Paturi, “On the degree of polynomials that approximate symmetric boolean functions (preliminary version),” in Proceedings of the twenty-fourth annual ACM symposium on Theory of computing . ACM, 1992, pp. 468–474
1992
Earlier work this paper cites.
L. K. Grover, “A fast quantum mechanical algorithm for database search,” in Proceedings of the twenty-eighth annual ACM symposium on Theory of computing , 1996, pp. 212–219
1996
Earlier work this paper cites.
D. R. Simon, “On the power of quantum computation,” SIAM journal on computing , vol. 26, no. 5, pp. 1474–1483, 1997
1997
Earlier work this paper cites.
S. Fenner, F. Green, S. Homer, and R. Pruim, “Determining acceptance possibility for a quantum computation is hard for the polynomial hierarchy,” arXiv preprint quant-ph/9812056 , 1998
1998
Earlier work this paper cites.
P. W. Shor, “Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer,” SIAM review , vol. 41, no. 2, pp. 303–332, 1999
1999
Earlier work this paper cites.
B. M. Terhal and D. P. DiVincenzo, “Adaptive quantum computation, constant depth quantum circuits and Arthur–Merlin games,” Quant. Inf. Comp. , vol. 4, no. 2, pp. 134–145, 2004
2004
Earlier work this paper cites.
E. A. Rakhmanov, “Bounds for polynomials with a unit discrete norm,” Annals of mathematics , pp. 55–88, 2007
2007
Earlier work this paper cites.
S. Arora and B. Barak, Computational Complexity: A Modern Approach , 1st ed. USA: Cambridge University Press, 2009
2009
Cited alongside, same era.
M. J. Bremner, R. Jozsa, and D. J. Shepherd, “Classical simulation of commuting quantum computations implies collapse of the polynomial hierarchy,” in Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences , vol. 467, no. 2126. The Royal Society, 2011, pp. 459–472
2011
Cited alongside, same era.
S. Aaronson and A. Arkhipov, “The computational complexity of linear optics,” in Proceedings of the forty-third annual ACM symposium on Theory of computing . ACM, 2011, pp. 333–342
2011
Cited alongside, same era.
M. J. Bremner, A. Montanaro, and D. J. Shepherd, “Average-case complexity versus approximate simulation of commuting quantum computations,” Physical review letters , vol. 117, no. 8, p. 080501, 2016
2016
Cited alongside, same era.
A. Bouland, B. Fefferman, C. Nirkhe, and U. Vazirani, “On the complexity and verification of quantum random circuit sampling,” Nature Physics , vol. 15, no. 2, p. 159, 2019
2019
Later among the works it cites.
S. Bravyi, D. Browne, P. Calpin, E. Campbell, D. Gosset, and M. Howard, “Simulation of quantum circuits by low-rank stabilizer decompositions,” Quantum , vol. 3, p. 181, 2019
2019
Later among the works it cites.
2020
Later among the works it cites.
2020
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2016
Cited alongside, same era.
S. Boixo, S. V. Isakov, V. N. Smelyanskiy, R. Babbush, N. Ding, Z. Jiang, M. J. Bremner, J. M. Martinis, and H. Neven, “Characterizing quantum supremacy in near-term devices,” Nature Physics , vol. 14, no. 6, p. 595, 2018
2018
Cited alongside, same era.
2018
Cited alongside, same era.
2018
Cited alongside, same era.
F. Arute, K. Arya, R. Babbush, D. Bacon, J. C. Bardin, R. Barends, R. Biswas, S. Boixo, F. G. Brandao, D. A. Buell et al. , “Quantum supremacy using a programmable superconducting processor,” Nature , vol. 574, no. 7779, pp. 505–510, 2019
2019
Cited alongside, same era.
2019
Cited alongside, same era.
2020
Later among the works it cites.
R. Movassagh, “Quantum supremacy and random circuits,” arXiv preprint arXiv:1909.06210 , 2020
2020
Later among the works it cites.
H.-S. Zhong, H. Wang, Y.-H. Deng, M.-C. Chen, L.-C. Peng, Y.-H. Luo, J. Qin, D. Wu, X. Ding, Y. Hu et al. , “Quantum computational advantage using photons,” Science , vol. 370, no. 6523, pp. 1460–1463, 2020
2020
Later among the works it cites.
2020
Later among the works it cites.
2021
Closest in time.
Y. Kondo, R. Mori, and R. Movassagh, “Fine-grained analysis and improved robustness of quantum supremacy for bosonsampling,” in preparation , 2021
2021
Closest in time.