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Concomitant with the rapid development of quantum technologies, challenging demands arise concerning the certification and characterization of devices.
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Scalable noise estimation with random unitary operators
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When are correlations quantum?
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The learnability of quantum states
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Quantitative entanglement witnesses
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Estimating entanglement measures in experiments
O. Guehne, M. Reimpell, and R. F. Werner · 2007
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Efficient error characterization in quantum information processing
B. Lévi, C. C. López, J. Emerson, and D. G. Cory · 2007
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The quantum internet
H. J. Kimble · 2008
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Randomized benchmarking of quantum gates
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Exact and approximate unitary 2-designs and their application to fidelity estimation
C. Dankert, R. Cleve, J. Emerson, and E. Livine · 2009
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Entanglement detection
O. Guehne and G. Toth · 2009
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The security of practical quantum key distribution
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Optimal, reliable estimation of quantum states
R. Blume-Kohout · 2010
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Efficient quantum state tomography
M. Cramer, M. B. Plenio, S. T. Flammia, R. Somma, D. Gross, S. D. Bartlett, O. Landon-Cardinal, D. Poulin, and Y.-K. Liu · 2010
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Quantum state tomography via compressed sensing
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The learning with errors problem
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Operational tomography: Fitting of data patterns
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Suppression of the critical temperature for superfluidity near the mott transition: validating a quantum simulator
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Direct fidelity estimation from few Pauli measurements
S. T. Flammia and Y.-K. Liu · 2011
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Robust randomized benchmarking of quantum processes
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Directly estimating non-classicality
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Self-testing graph states
M. McKague · 2011
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Quantum simulations with ultracold quantum gases
I. Bloch, J. Dalibard, and S. Nascimbene · 2012
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Robust error bars for quantum tomography
R. Blume-Kohout · 2012
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Self-calibrating quantum state tomography
A. M. Brańczyk, D. H. Mahler, L. A. Rozema, A. Darabi, A. M. Steinberg, and D. F. V. James · 2012
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Reliable quantum state tomography
M. Christandl and R. Renner · 2012
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Goals and opportunities in quantum simulation
J. I. Cirac and P. Zoller · 2012
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Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimators
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Characterization of addressability by simultaneous randomized benchmarking
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Robust online Hamiltonian learning
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Rank-based model selection for multiple ions quantum tomography
M. Guta, T. Kypraios, and I. Dryden · 2012
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Efficient measurement of quantum gate error by interleaved randomized benchmarking
E. Magesan, J. M. Gambetta, B. R. Johnson, C. A. Ryan, J. M. Chow, S. T. Merkel, M. P. Da Silva, G. A. Keefe, M. B. Rothwell, T. A. Ohki, et al · 2012
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Self-calibration for self-consistent tomography
D. Mogilevtsev, J. Rehacek, and Z. Hradil · 2012
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Probing the relaxation towards equilibrium in an isolated strongly correlated one-dimensional Bose gas
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Verifier-on-a-leash: New schemes for verifiable delegated quantum computation, with quasilinear resources
A. Coladangelo, A. Grilo, S. Jeffery, and T. Vidick · 2017
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Private quantum computation: An introduction to blind quantum computing and related protocols
J. F. Fitzsimons · 2017
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Unconditionally verifiable blind computation
J. F. Fitzsimons and E. Kashefi · 2017
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Direct certification of a class of quantum simulations
D. Hangleiter, M. Kliesch, M. Schwarz, and J. Eisert · 2017
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Experimental comparison of two quantum computing architectures
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Colloquium: Quantum coherence as a resource
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J. Watrous · 2012
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Bosonsampling is far from uniform
S. Aaronson and A. Arkhipov · 2013
Cited alongside, same era.
Scalable reconstruction of density matrices
T. Baumgratz, D. Gross, M. Cramer, and M. B. Plenio · 2013
Cited alongside, same era.
A scalable maximum likelihood method for quantum state tomography
T. Baumgratz, A. Nüßeler, M. Cramer, and M. B. Plenio · 2013
Cited alongside, same era.
Robust, self-consistent, closed-form tomography of quantum logic gates on a trapped ion qubit
R. Blume-Kohout, J. K. Gamble, E. Nielsen, J. Mizrahi, J. D. Sterk, and P. Maunz · 2013
Cited alongside, same era.
Wick’s theorem for matrix product states
R. Hübener, A. Mari, and J. Eisert · 2013
Cited alongside, same era.
Self-consistent quantum process tomography
S. T. Merkel, J. M. Gambetta, J. A. Smolin, S. Poletto, A. D. Corcoles, B. R. Johnson, C. A. Ryan, and M. Steffen · 2013
Cited alongside, same era.
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An automatic inequality prover and instance optimal identity testing
G. Valiant and P. Valiant · 2017
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The European quantum technologies roadmap
A. Acin, I. Bloch, H. Buhrman, T. Calarco, C. Eichler, J. Eisert, D. Esteve, N. Gisin, S. J. Glaser, F. Jelezko, S. Kuhr, M. Lewenstein, M. F. Riedel, P. O. Schmidt, R. Thew, A. Wallraff, I. Walmsley, and F. K. Wilhelm · 2018
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Architectures for quantum simulation showing a quantum speedup
J. Bermejo-Vega, D. Hangleiter, M. Schwarz, R. Raussendorf, and J. Eisert · 2018
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Characterizing quantum supremacy in near-term devices
S. Boixo, S. V. Isakov, V. N. Smelyanskiy, R. Babbush, N. Ding, Z. Jiang, M. J. Bremner, J. M. Martinis, and H. Neven · 2018
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Validating quantum computers using randomized model circuits
A. W. Cross, L. S. Bishop, S. Sheldon, P. D. Nation, and J. M. Gambetta · 2018
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Verifying quantum computations on noisy intermediate-scale quantum devices
S. Ferracin, T. Kapourniotis, and A. Datta · 2018
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Approximate randomized benchmarking for finite groups
D. S. Franca and A.-L. Hashagen · 2018
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Fast state tomography with optimal error bounds
M. Guta, J. Kahn, R. Kueng, and J. A. Tropp · 2018
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Classical Verification of Quantum Computations
U. Mahadev · 2018
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A simple protocol for certifying graph states and applications in quantum networks
D. Markham and A. Krause · 2018
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Low-degree testing for quantum states
A. Natarajan and T. Vidick · 2018
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Optimal verification of entangled states with local measurements
S. Pallister, N. Linden, and A. Montanaro · 2018
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Stabiliser states are efficiently PAC-learnable
A. Rocchetto · 2018
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Recovering quantum gates from few average gate fidelities
I. Roth, R. Kueng, S. Kimmel, Y.-K. Liu, D. Gross, J. Eisert, and M. Kliesch · 2018
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Certifying the building blocks of quantum computers from Bell’s theorem
P. Sekatski, J.-D. Bancal, S. Wagner, and N. Sangouard · 2018
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Verification of many-qubit states
Y. Takeuchi and T. Morimae · 2018
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Many-body quantum state tomography with neural networks
G. Torlai, G. Mazzola, J. Carrasquilla, M. Troyer, R. Melko, and G. Carleo · 2018
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Randomized benchmarking with gate-dependent noise
J. J. Wallman · 2018
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Quantum supremacy using a programmable superconducting processor
F. Arute and et al · 2019
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On the complexity and verification of quantum random circuit sampling
A. Bouland, B. Fefferman, C. Nirkhe, and U. Vazirani · 2019
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Reconstructing quantum states with generative models
J. Carrasquilla, G. Torlai, R. G. Melko, and L. Aolita · 2019
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Characterizing large-scale quantum computers via cycle benchmarking
A. Erhard, J. J. Wallman, L. Postler, M. Meth, R. Stricker, E. A. Martinez, P. Schindler, T. Monz, J. Emerson, and R. Blatt · 2019
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Verification of quantum computation: An overview of existing approaches
A. Gheorghiu, T. Kapourniotis, and E. Kashefi · 2019
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Sample complexity of device-independently certified” quantum supremacy”
D. Hangleiter, M. Kliesch, J. Eisert, and C. Gogolin · 2019
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Statistical analysis of randomized benchmarking
R. Harper, I. Hincks, C. Ferrie, S. T. Flammia, and J. J. Wallman · 2019
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Multiqubit randomized benchmarking using few samples
J. Helsen, J. J. Wallman, S. T. Flammia, and S. Wehner · 2019
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A new class of efficient randomized benchmarking protocols
J. Helsen, X. Xue, L. M. K. Vandersypen, and S. Wehner · 2019
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Guaranteed recovery of quantum processes from few measurements
M. Kliesch, R. Kueng, J. Eisert, and D. Gross · 2019
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Self-verifying variational quantum simulation of the lattice Schwinger model
C. Kokail, C. Maier, R. van Bijnen, T. Brydges, M. K. Joshi, P. Jurcevic, C. A. Muschik, P. Silvi, R. Blatt, C. F. Roos, and P. Zoller · 2019
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Randomized benchmarking for individual quantum gates
E. Onorati, A. H. Werner, and J. Eisert · 2019
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Benchmarking of Gaussian boson sampling using two-point correlators
D. S. Phillips, M. Walschaers, J. J. Renema, I. A. Walmsley, N. Treps, and J. Sperling · 2019
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Direct randomized benchmarking for multiqubit devices
T. J. Proctor, A. Carignan-Dugas, K. Rudinger, E. Nielsen, R. Blume-Kohout, and K. Young · 2019
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Experimental learning of quantum states
A. Rocchetto, S. Aaronson, S. Severini, G. Carvacho, D. Poderini, I. Agresti, M. Bentivegna, and F. Sciarrino · 2019
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Resource-efficient verification of quantum computing using Serfling’s bound
Y. Takeuchi, A. Mantri, T. Morimae, A. Mizutani, and J. F. Fitzsimons · 2019
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Confidence polytopes in quantum state tomography
J. Wang, V. B. Scholz, and R. Renner · 2019
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