Built on

Giacomo Torlai, Brian Timar, Evert P. L. van Nieuwenburg, Harry Levine, Ahmed Omran, Alexander Keesling, Hannes Bernien, Markus Greiner, Vladan Vuletić, Mikhail D. Lukin, Roger G. Melko, and Manuel Endres, “Integrating Neural Networks with a Quantum Simulator for State Reconstruction,” Phys. Rev. Lett. 123
Original
1904
Earlier work this paper cites.
Scott Aaronson and Guy N. Rothblum, “Gentle Measurement of Quantum States and Differential Privacy,” arXiv e-prints , arXiv:1904.08747 (2019), arXiv:1904.08747 [quant-ph]
Original
1904
Earlier work this paper cites.
Juan Carrasquilla, Di Luo, Felipe Pérez, Ashley Milsted, Bryan K. Clark, Maksims Volkovs, and Leandro Aolita, “Probabilistic Simulation of Quantum Circuits with the Transformer,” arXiv e-prints , arXiv:1912.11052 (2019), arXiv:1912.11052 [cond-mat.str-el]
Original
1912
Earlier work this paper cites.
Don Weingarten, “Asymptotic behavior of group integrals in the limit of infinite rank,” Journal of Mathematical Physics 19
1978
Earlier work this paper cites.
K. Vogel and H. Risken, “Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase,” Phys. Rev. A 40
1989
Earlier work this paper cites.
Daniel F. V. James, Paul G. Kwiat, William J. Munro, and Andrew G. White, “Measurement of qubits,” Phys. Rev. A 64
2001
Earlier work this paper cites.
Carlton M. Caves, Christopher A. Fuchs, and Rüdiger Schack, “Unknown quantum states: The quantum de Finetti representation,” Journal of Mathematical Physics 43
2002
Earlier work this paper cites.
N. Linden, S. Popescu, and W. K. Wootters, “Almost every pure state of three qubits is completely determined by its two-particle reduced density matrices,” Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
N. Linden and W. K. Wootters, “The parts determine the whole in a generic pure quantum state,” Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
Hsin-Yuan Huang, Richard Kueng, and John Preskill, “Predicting many properties of a quantum system from very few measurements,” Nature Physics 16
Original
2002
Earlier work this paper cites.
Matteo Paris and Jaroslav Rehacek, Quantum state estimation , Vol. 649 (Springer Science & Business Media, 2004)
2004
Earlier work this paper cites.
C. F. Roos, G. P. T. Lancaster, M. Riebe, H. Häffner, W. Hänsel, S. Gulde, C. Becher, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Bell states of atoms with ultralong lifetimes and their tomographic state analysis,” Phys. Rev. Lett. 92
2004
Earlier work this paper cites.
Lajos Diósi, “Three-party pure quantum states are determined by two two-party reduced states,” Phys. Rev. A 70
2004
Earlier work this paper cites.
You Zhou, Pei Zeng, and Zhenhuan Liu, “Single-Copies Estimation of Entanglement Negativity,” Phys. Rev. Lett. 125
Original
2004
Earlier work this paper cites.
Peter Cha, Paul Ginsparg, Felix Wu, Juan Carrasquilla, Peter L. McMahon, and Eun-Ah Kim, “Attention-based Quantum Tomography,” arXiv e-prints , arXiv:2006.12469 (2020), arXiv:2006.12469 [quant-ph]
Original
2006
Earlier work this paper cites.

Similar

Benoît Collins and Piotr Śniady, “Integration with Respect to the Haar Measure on Unitary, Orthogonal and Symplectic Group,” Communications in Mathematical Physics 264
2006
Cited alongside, same era.
Marcel Neugebauer, Laurin Fischer, Alexander Jäger, Stefanie Czischek, Selim Jochim, Matthias Weidemüller, and Martin Gärttner, “Neural-network quantum state tomography in a two-qubit experiment,” Phys. Rev. A 102
Original
2007
Cited alongside, same era.
Andreas Elben, Richard Kueng, Hsin-Yuan Robert Huang, Rick van Bijnen, Christian Kokail, Marcello Dalmonte, Pasquale Calabrese, Barbara Kraus, John Preskill, Peter Zoller, and Benoît Vermersch, “Mixed-State Entanglement from Local Randomized Measurements,” Phys. Rev. Lett. 125
Original
2007
Cited alongside, same era.
Marcus Cramer, Martin B. Plenio, Steven T. Flammia, Rolando Somma, David Gross, Stephen D. Bartlett, Olivier Land on-Cardinal, David Poulin, and Yi-Kai Liu, “Efficient quantum state tomography,” Nature Communications 1
Original
2010
Cited alongside, same era.

Then

Giacomo Torlai, Guglielmo Mazzola, Juan Carrasquilla, Matthias Troyer, Roger Melko, and Giuseppe Carleo, “Neural-network quantum state tomography,” Nature Physics 14
2018
Later among the works it cites.
Giacomo Torlai and Roger G. Melko, “Latent Space Purification via Neural Density Operators,” Phys. Rev. Lett. 120
Original
2018
Later among the works it cites.
Juan Carrasquilla, Giacomo Torlai, Roger G. Melko, and Leandro Aolita, “Reconstructing quantum states with generative models,” arXiv e-prints , arXiv:1810.10584 (2018), arXiv:1810.10584 [quant-ph]
Original
2018
Later among the works it cites.
Qian Xu and Shuqi Xu, “Neural network state estimation for full quantum state tomography,” arXiv e-prints , arXiv:1811.06654 (2018), arXiv:1811.06654 [quant-ph]
Original
2018
Later among the works it cites.

Beyond the bibliography

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

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Reading the bibliography…

2021

Hamiltonian-Driven Shadow Tomography of Quantum States

Hu, Hong-Ye, You, Yi-Zhuang

Understand

Classical shadow tomography provides an efficient method for predicting functions of an unknown quantum state from a few measurements of the state.

It relies on a unitary channel that efficiently scrambles the quantum information of the state to the measurement basis.
Facing the challenge of realizing deep unitary circuits on near-term quantum devices, we explore the scenario in which the unitary channel can be shallow and is generated by a quantum chaotic Hamiltonian via time evolution.
We provide an unbiased estimator of the density matrix for all ranges of the evolution time.

Built on

Giacomo Torlai, Brian Timar, Evert P. L. van Nieuwenburg, Harry Levine, Ahmed Omran, Alexander Keesling, Hannes Bernien, Markus Greiner, Vladan Vuletić, Mikhail D. Lukin, Roger G. Melko, and Manuel Endres, “Integrating Neural Networks with a Quantum Simulator for State Reconstruction,” Phys. Rev. Lett. 123
Original
1904
Earlier work this paper cites.
Scott Aaronson and Guy N. Rothblum, “Gentle Measurement of Quantum States and Differential Privacy,” arXiv e-prints , arXiv:1904.08747 (2019), arXiv:1904.08747 [quant-ph]
Original
1904
Earlier work this paper cites.
Juan Carrasquilla, Di Luo, Felipe Pérez, Ashley Milsted, Bryan K. Clark, Maksims Volkovs, and Leandro Aolita, “Probabilistic Simulation of Quantum Circuits with the Transformer,” arXiv e-prints , arXiv:1912.11052 (2019), arXiv:1912.11052 [cond-mat.str-el]
Original
1912
Earlier work this paper cites.
Don Weingarten, “Asymptotic behavior of group integrals in the limit of infinite rank,” Journal of Mathematical Physics 19
1978
Earlier work this paper cites.
K. Vogel and H. Risken, “Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase,” Phys. Rev. A 40
1989
Earlier work this paper cites.
Daniel F. V. James, Paul G. Kwiat, William J. Munro, and Andrew G. White, “Measurement of qubits,” Phys. Rev. A 64
2001
Earlier work this paper cites.
Carlton M. Caves, Christopher A. Fuchs, and Rüdiger Schack, “Unknown quantum states: The quantum de Finetti representation,” Journal of Mathematical Physics 43
2002
Earlier work this paper cites.
N. Linden, S. Popescu, and W. K. Wootters, “Almost every pure state of three qubits is completely determined by its two-particle reduced density matrices,” Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
N. Linden and W. K. Wootters, “The parts determine the whole in a generic pure quantum state,” Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
Hsin-Yuan Huang, Richard Kueng, and John Preskill, “Predicting many properties of a quantum system from very few measurements,” Nature Physics 16
Original
2002
Earlier work this paper cites.
Matteo Paris and Jaroslav Rehacek, Quantum state estimation , Vol. 649 (Springer Science & Business Media, 2004)
2004
Earlier work this paper cites.
C. F. Roos, G. P. T. Lancaster, M. Riebe, H. Häffner, W. Hänsel, S. Gulde, C. Becher, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Bell states of atoms with ultralong lifetimes and their tomographic state analysis,” Phys. Rev. Lett. 92
2004
Earlier work this paper cites.
Lajos Diósi, “Three-party pure quantum states are determined by two two-party reduced states,” Phys. Rev. A 70
2004
Earlier work this paper cites.
You Zhou, Pei Zeng, and Zhenhuan Liu, “Single-Copies Estimation of Entanglement Negativity,” Phys. Rev. Lett. 125
Original
2004
Earlier work this paper cites.
Peter Cha, Paul Ginsparg, Felix Wu, Juan Carrasquilla, Peter L. McMahon, and Eun-Ah Kim, “Attention-based Quantum Tomography,” arXiv e-prints , arXiv:2006.12469 (2020), arXiv:2006.12469 [quant-ph]
Original
2006
Earlier work this paper cites.

Similar

Benoît Collins and Piotr Śniady, “Integration with Respect to the Haar Measure on Unitary, Orthogonal and Symplectic Group,” Communications in Mathematical Physics 264
2006
Cited alongside, same era.
Marcel Neugebauer, Laurin Fischer, Alexander Jäger, Stefanie Czischek, Selim Jochim, Matthias Weidemüller, and Martin Gärttner, “Neural-network quantum state tomography in a two-qubit experiment,” Phys. Rev. A 102
Original
2007
Cited alongside, same era.
Andreas Elben, Richard Kueng, Hsin-Yuan Robert Huang, Rick van Bijnen, Christian Kokail, Marcello Dalmonte, Pasquale Calabrese, Barbara Kraus, John Preskill, Peter Zoller, and Benoît Vermersch, “Mixed-State Entanglement from Local Randomized Measurements,” Phys. Rev. Lett. 125
Original
2007
Cited alongside, same era.
Marcus Cramer, Martin B. Plenio, Steven T. Flammia, Rolando Somma, David Gross, Stephen D. Bartlett, Olivier Land on-Cardinal, David Poulin, and Yi-Kai Liu, “Efficient quantum state tomography,” Nature Communications 1
Original
2010
Cited alongside, same era.

Then

Giacomo Torlai, Guglielmo Mazzola, Juan Carrasquilla, Matthias Troyer, Roger Melko, and Giuseppe Carleo, “Neural-network quantum state tomography,” Nature Physics 14
2018
Later among the works it cites.
Giacomo Torlai and Roger G. Melko, “Latent Space Purification via Neural Density Operators,” Phys. Rev. Lett. 120
Original
2018
Later among the works it cites.
Juan Carrasquilla, Giacomo Torlai, Roger G. Melko, and Leandro Aolita, “Reconstructing quantum states with generative models,” arXiv e-prints , arXiv:1810.10584 (2018), arXiv:1810.10584 [quant-ph]
Original
2018
Later among the works it cites.
Qian Xu and Shuqi Xu, “Neural network state estimation for full quantum state tomography,” arXiv e-prints , arXiv:1811.06654 (2018), arXiv:1811.06654 [quant-ph]
Original
2018
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Andrew Zhao, Nicholas C. Rubin, and Akimasa Miyake, “Fermionic partial tomography via classical shadows,” arXiv e-prints , arXiv:2010.16094 (2020), arXiv:2010.16094 [quant-ph]

Original

2010

Cited alongside, same era.

Dax Enshan Koh and Sabee Grewal, “Classical Shadows with Noise,” arXiv e-prints , arXiv:2011.11580 (2020), arXiv:2011.11580 [quant-ph]

Original

2011

Cited alongside, same era.

Senrui Chen, Wenjun Yu, Pei Zeng, and Steven T. Flammia, “Robust shadow estimation,” arXiv e-prints , arXiv:2011.09636 (2020), arXiv:2011.09636 [quant-ph]

Original

2011

Cited alongside, same era.

Yi-Zhuang You, Xiao-Liang Qi, and Cenke Xu, “Entanglement holographic mapping of many-body localized system by spectrum bifurcation renormalization group,” Phys. Rev. B 93

Original

2016

Cited alongside, same era.

J. Haah, A. W. Harrow, Z. Ji, X. Wu, and N. Yu, “Sample-optimal tomography of quantum states,” IEEE Transactions on Information Theory 63

2017

Cited alongside, same era.

B. P. Lanyon, C. Maier, M. Holzäpfel, T. Baumgratz, C. Hempel, P. Jurcevic, I. Dhand, A. S. Buyskikh, A. J. Daley, M. Cramer, M. B. Plenio, R. Blatt, and C. F. Roos, “Efficient tomography of a quantum many-body system,” Nature Physics 13

Original

2017

Cited alongside, same era.

Jun Wang, Zhao-Yu Han, Song-Bo Wang, Zeyang Li, Liang-Zhu Mu, Heng Fan, and Lei Wang, “Scalable Quantum Tomography with Fidelity Estimation,” arXiv e-prints , arXiv:1712.03213 (2017), arXiv:1712.03213 [quant-ph]

Original

2017

Cited alongside, same era.

Fernando G. S. L. Brandão, Amir Kalev, Tongyang Li, Cedric Yen-Yu Lin, Krysta M. Svore, and Xiaodi Wu, “Quantum SDP Solvers: Large Speed-ups, Optimality, and Applications to Quantum Learning,” arXiv e-prints , arXiv:1710.02581 (2017), arXiv:1710.02581 [quant-ph]

Original

2017

Cited alongside, same era.

Yihui Quek, Stanislav Fort, and Hui Khoon Ng, “Adaptive Quantum State Tomography with Neural Networks,” arXiv e-prints , arXiv:1812.06693 (2018), arXiv:1812.06693 [quant-ph]

Original

2018