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Efficient estimation of nonlinear properties is a significant yet challenging task from quantum information processing to many-body physics.
M. R. Jerrum, L. G. Valiant, and V. V. Vazirani, Random generation of combinatorial structures from a uniform distribution, Theor. Comput. Sci. 43
1986
Earlier work this paper cites.
H. Buhrman, R. Cleve, J. Watrous, and R. De Wolf, Quantum fingerprinting, Phys. Rev. Lett. 87
2001
Earlier work this paper cites.
A. K. Ekert, C. M. Alves, D. K. L. Oi, M. Horodecki, P. Horodecki, and L. C. Kwek, Direct estimations of linear and nonlinear functionals of a quantum state, Phys. Rev. Lett. 88
2002
Earlier work this paper cites.
P. Horodecki and A. Ekert, Method for direct detection of quantum entanglement, Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
D. Gottesman, An introduction to quantum error correction, in Proceedings of Symposia in Applied Mathematics , Vol. 58 (2002) pp. 221–236
2002
Earlier work this paper cites.
T. A. Bruni, Measurimg polynomial functions of states, Quantum Info. Comput. 4
2004
Earlier work this paper cites.
S. J. van Enk and C. W. J. Beenakker, Measuring Tr ρ n \mathrm{Tr}{\rho}^{n} on single copies of ρ \rho using random measurements, Phys. Rev. Lett. 108
2012
Earlier work this paper cites.
M. Ohliger, V. Nesme, and J. Eisert, Efficient and feasible state tomography of quantum many-body systems, New J. Phys. 15
2013
Earlier work this paper cites.
S. Lloyd, M. Mohseni, and P. Rebentrost, Quantum principal component analysis, Nat. Phys. 10
2014
Earlier work this paper cites.
R. Islam, R. Ma, P. M. Preiss, M. Eric Tai, A. Lukin, M. Rispoli, and M. Greiner, Measuring entanglement entropy in a quantum many-body system, Nature 528
2015
Earlier work this paper cites.
H. Pichler, G. Zhu, A. Seif, P. Zoller, and M. Hafezi, Measurement protocol for the entanglement spectrum of cold atoms, Phys. Rev. X 6
2016
Earlier work this paper cites.
A. M. Kaufman, M. E. Tai, A. Lukin, M. Rispoli, R. Schittko, P. M. Preiss, and M. Greiner, Quantum thermalization through entanglement in an isolated many-body system, Science 353
2016
Earlier work this paper cites.
R. B. Patel, J. Ho, F. Ferreyrol, T. C. Ralph, and G. J. Pryde, A quantum Fredkin gate, Sci. Adv. 2
2016
Earlier work this paper cites.
J. Acharya, A. Orlitsky, A. T. Suresh, and H. Tyagi, Estimating rényi entropy of discrete distributions, IEEE Transactions on Information Theory 63
2016
Earlier work this paper cites.
S. Johri, D. S. Steiger, and M. Troyer, Entanglement spectroscopy on a quantum computer, Phys. Rev. B 96
2017
Earlier work this paper cites.
E. T. Campbell, B. M. Terhal, and C. Vuillot, Roads towards fault-tolerant universal quantum computation, Nature 549
2017
Earlier work this paper cites.
K. Mitarai, M. Negoro, M. Kitagawa, and K. Fujii, Quantum circuit learning, Physical Review A 98
2018
Earlier work this paper cites.
B. Vermersch, A. Elben, L. M. Sieberer, N. Y. Yao, and P. Zoller, Probing scrambling using statistical correlations between randomized measurements, Phys. Rev. X 9
2019
Earlier work this paper cites.
J. Cotler, S. Choi, A. Lukin, H. Gharibyan, T. Grover, M. E. Tai, M. Rispoli, R. Schittko, P. M. Preiss, A. M. Kaufman, M. Greiner, H. Pichler, and P. Hayden, Quantum virtual cooling, Phys. Rev. X 9
2019
Earlier work this paper cites.
S. Aaronson, Shadow tomography of quantum states, SIAM Journal on Computing 49
2019
Earlier work this paper cites.
Y. Y. Gao, B. J. Lester, K. S. Chou, L. Frunzio, M. H. Devoret, L. Jiang, S. Girvin, and R. J. Schoelkopf, Entanglement of bosonic modes through an engineered exchange interaction, Nature 566
2019
Earlier work this paper cites.
K. Zhang, J. Thompson, X. Zhang, Y. Shen, Y. Lu, S. Zhang, J. Ma, V. Vedral, M. Gu, and K. Kim, Modular quantum computation in a trapped ion system, Nat. Commun. 10
2019
Earlier work this paper cites.
Y. Subaşı, L. Cincio, and P. J. Coles, Entanglement spectroscopy with a depth-two quantum circuit, J. Phys. A: Math. Theor. 52
2019
Earlier work this paper cites.
T. Brydges, A. Elben, P. Jurcevic, B. Vermersch, C. Maier, B. P. Lanyon, P. Zoller, R. Blatt, and C. F. Roos, Probing Rényi entanglement entropy via randomized measurements, Science 364
2019
Earlier work this paper cites.
A. Ketterer, N. Wyderka, and O. Gühne, Characterizing multipartite entanglement with moments of random correlations, Phys. Rev. Lett. 122
2019
Earlier work this paper cites.
2019
Earlier work this paper cites.
S. Khatri, R. LaRose, A. Poremba, L. Cincio, A. T. Sornborger, and P. J. Coles, Quantum-assisted quantum compiling, Quantum 3
2019
Earlier work this paper cites.
S. Sim, P. D. Johnson, and A. Aspuru-Guzik, Expressibility and entangling capability of parameterized quantum circuits for hybrid quantum-classical algorithms, Advanced Quantum Technologies 2
2019
Earlier work this paper cites.
Y. Zhou, P. Zeng, and Z. Liu, Single-copies estimation of entanglement negativity, Phys. Rev. Lett. 125
2020
Earlier work this paper cites.
H.-Y. Huang, R. Kueng, and J. Preskill, Predicting many properties of a quantum system from very few measurements, Nat. Phys. 16
2020
Cited alongside, same era.
H. Gan, G. Maslennikov, K.-W. Tseng, C. Nguyen, and D. Matsukevich, Hybrid quantum computing with conditional beam splitter gate in trapped ion system, Phys. Rev. Lett. 124
2020
Cited alongside, same era.
R. J. Garcia, Y. Zhou, and A. Jaffe, Quantum scrambling with classical shadows, Phys. Rev. Res. 3
2021
Cited alongside, same era.
S. Endo, Z. Cai, S. C. Benjamin, and X. Yuan, Hybrid quantum-classical algorithms and quantum error mitigation, Journal of the Physical Society of Japan 90
2021
Cited alongside, same era.
W. J. Huggins, S. McArdle, T. E. O’Brien, J. Lee, N. C. Rubin, S. Boixo, K. B. Whaley, R. Babbush, and J. R. McClean, Virtual distillation for quantum error mitigation, Phys. Rev. X 11
M. DeCross, E. Chertkov, M. Kohagen, and M. Foss-Feig, Qubit-reuse compilation with mid-circuit measurement and reset, Phys. Rev. X 13
2023
Later among the works it cites.
J. Helsen, M. Ioannou, J. Kitzinger, E. Onorati, A. Werner, J. Eisert, and I. Roth, Shadow estimation of gate-set properties from random sequences, Nat. Commun. 14
2023
Later among the works it cites.
J. Kunjummen, M. C. Tran, D. Carney, and J. M. Taylor, Shadow process tomography of quantum channels, Phys. Rev. A 107
2023
Later among the works it cites.
J. Helsen and M. Walter, Thrifty shadow estimation: Reusing quantum circuits and bounding tails, Phys. Rev. Lett. 131
2023
Later among the works it cites.
Y. Zhou and Q. Liu, Performance analysis of multi-shot shadow estimation, Quantum 7
2023
Later among the works it cites.
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2021
Cited alongside, same era.
B. Koczor, Exponential error suppression for near-term quantum devices, Phys. Rev. X 11
2021
Cited alongside, same era.
J. Yirka and Y. Subaşı, Qubit-efficient entanglement spectroscopy using qubit resets, Quantum 5
2021
Cited alongside, same era.
A. Rath, C. Branciard, A. Minguzzi, and B. Vermersch, Quantum Fisher information from randomized measurements, Phys. Rev. Lett. 127
2021
Cited alongside, same era.
Z.-P. Cian, H. Dehghani, A. Elben, B. Vermersch, G. Zhu, M. Barkeshli, P. Zoller, and M. Hafezi, Many-body chern number from statistical correlations of randomized measurements, Phys. Rev. Lett. 126
2021
Cited alongside, same era.
A. D. Córcoles, M. Takita, K. Inoue, S. Lekuch, Z. K. Minev, J. M. Chow, and J. M. Gambetta, Exploiting dynamic quantum circuits in a quantum algorithm with superconducting qubits, Phys. Rev. Lett. 127
2021
Cited alongside, same era.
A. Zhao, N. C. Rubin, and A. Miyake, Fermionic partial tomography via classical shadows, Phys. Rev. Lett. 127
2021
Cited alongside, same era.
H.-Y. Huang, R. Kueng, and J. Preskill, Efficient estimation of pauli observables by derandomization, Phys. Rev. Lett. 127
2021
Cited alongside, same era.
M. Arienzo, M. Heinrich, I. Roth, and M. Kliesch, Closed-form analytic expressions for shadow estimation with brickwork circuits, Quant. Inf. Comput. 23
2023
Later among the works it cites.
M. Ippoliti, Y. Li, T. Rakovszky, and V. Khemani, Operator relaxation and the optimal depth of classical shadows, Phys. Rev. Lett. 130
2023
Later among the works it cites.
B. Wu, J. Sun, Q. Huang, and X. Yuan, Overlapped grouping measurement: A unified framework for measuring quantum states, Quantum 7
2023
Later among the works it cites.
S. J. Evered, D. Bluvstein, M. Kalinowski, S. Ebadi, T. Manovitz, H. Zhou, S. H. Li, A. A. Geim, T. T. Wang, N. Maskara, et al. , High-fidelity parallel entangling gates on a neutral atom quantum computer, Nature 622
2023
Later among the works it cites.
S. Cao, B. Wu, F. Chen, M. Gong, Y. Wu, Y. Ye, C. Zha, H. Qian, C. Ying, S. Guo, et al. , Generation of genuine entanglement up to 51 superconducting qubits, Nature 619
2023
Later among the works it cites.
Y. Zhou and Z. Liu, A hybrid framework for estimating nonlinear functions of quantum states, npj Quantum Inf. 10
2024
Closest in time.
D. Bluvstein, S. J. Evered, A. A. Geim, S. H. Li, H. Zhou, T. Manovitz, S. Ebadi, M. Cain, M. Kalinowski, D. Hangleiter, et al. , Logical quantum processor based on reconfigurable atom arrays, Nature 626
2024
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H. Hakoshima, S. Endo, K. Yamamoto, Y. Matsuzaki, and N. Yoshioka, Localized virtual purification, Phys. Rev. Lett. 133
2024
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S. Gandhari, V. V. Albert, T. Gerrits, J. M. Taylor, and M. J. Gullans, Precision bounds on continuous-variable state tomography using classical shadows, PRX Quantum 5
2024
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S. Becker, N. Datta, L. Lami, and C. Rouzé, Classical shadow tomography for continuous variables quantum systems, IEEE Trans. Inf. Theory (2024)
2024
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Z. Liu, X. Zhang, Y.-Y. Fei, and Z. Cai, Virtual channel purification, arXiv:2402.07866 (2024)
2024
Closest in time.
R. King, K. Wan, and J. R. McClean, Exponential learning advantages with conjugate states and minimal quantum memory, PRX Quantum 5
2024
Closest in time.
C. Bertoni, J. Haferkamp, M. Hinsche, M. Ioannou, J. Eisert, and H. Pashayan, Shallow shadows: Expectation estimation using low-depth random Clifford circuits, Phys. Rev. Lett. 133
2024
Closest in time.
2024
Closest in time.
B. Wu and D. E. Koh, Error-mitigated fermionic classical shadows on noisy quantum devices, npj Quantum Inf. 10
2024
Closest in time.
H. Jnane, J. Steinberg, Z. Cai, H. C. Nguyen, and B. Koczor, Quantum error mitigated classical shadows, PRX Quantum 5
2024
Closest in time.
X.-J. Peng, Q. Liu, L. Liu, T. Zhang, Y. Zhou, and H. Lu, Experimental shadow tomography beyond single-copy measurements, Phys. Rev. Appl. 23
2025
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D.-J. Zhang and D. Tong, Krylov shadow tomography: Efficient estimation of quantum fisher information, Physical Review Letters 134
2025
Closest in time.
A. Gresch and M. Kliesch, Guaranteed efficient energy estimation of quantum many-body hamiltonians using shadowgrouping, Nature communications 16
2025
Closest in time.
R. Brieger, M. Heinrich, I. Roth, and M. Kliesch, Stability of classical shadows under gate-dependent noise, Phys. Rev. Lett. 134
2025
Closest in time.
2025
Closest in time.
2025
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