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Motivated by estimation of quantum noise models, we study the problem of learning a Pauli channel, or more generally the Pauli error rates of an arbitrary channel.
Beyond trace reconstruction: Population recovery from the deletion channel
F. Ban, X. Chen, A. Freilich, R. Servedio, and S. Sinha · 1904
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Efficient Average-Case Population Recovery in the Presence of Insertions and Deletions
F. Ban, X. Chen, R. A. Servedio, and S. Sinha · 1907
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Efficient estimation of Pauli channels
S. Flammia and J. Wallman · 1907
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Efficient learning of quantum noise
R. Harper, S. T. Flammia, and J. J. Wallman · 1907
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A hard-core predicate for all one-way functions
O. Goldreich and L. Levin · 1989
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Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states
C. H. Bennett and S. J. Wiesner · 1992
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A short note on learning discrete distributions, 2020, arXiv:2002.11457
C. L. Canonne · 2002
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Quantum parameter estimation of a generalized Pauli channel
A. Fujiwara and H. Imai · 2003
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Improved algorithms for population recovery from the deletion channel
S. Narayanan · 2004
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Quantum computing with realistically noisy devices
E. Knill · 2005
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Fast estimation of sparse quantum noise
R. Harper, W. Yu, and S. T. Flammia · 2007
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A. Montanaro and T. J. Osborne · 2010
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Restriction access
Z. Dvir, A. Rao, A. Wigderson, and A. Yehudayoff · 2012
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Finding heavy hitters from lossy or noisy data
L. Batman, R. Impagliazzo, C. Murray, and R. Paturi · 2013
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A polynomial time algorithm for lossy population recovery
A. Moitra and M. Saks · 2013
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Noise tailoring for scalable quantum computation via randomized compiling
J. Wallman and J. Emerson · 2016
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Population recovery and partial identification
A. Wigderson and A. Yehudayoff · 2016
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Quantum Information Theory
M. Hayashi · 2017
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Noisy population recovery from unknown noise
S. Lovett and J. Zhang · 2017
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Sample complexity of population recovery
Y. Polyanskiy, A. T. Suresh, and Y. Wu · 2017
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R. O’Donnell · 2014
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Efficient Simulation of Random Quantum States and Operators
C. Dankert · 2015
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Improved noisy population recovery, and reverse Bonami–Beckner inequality for sparse functions
S. Lovett and J. Zhang · 2015
Cited alongside, same era.
Quantum error correction for quantum memories
B. Terhal · 2015
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Noisy population recovery in polynomial time
A. De, M. Saks, and S. Tang · 2016
Cited alongside, same era.
J. Helsen, X. Xue, L. M. K. Vandersypen, and S. Wehner · 2019
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High-dimensional statistics: A non-asymptotic viewpoint
M. Wainwright · 2019
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Sharp bounds for population recovery
A. De, R. O’Donnell, and R. Servedio · 2020
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PauliPopRec , Github repository, 2021
S. T. Flammia · 2021
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Entanglement-free parameter estimation of generalized Pauli channels
J. ur Rehman and H. Shin · 2021
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