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Stabilizer states are fundamental families of quantum states with crucial applications such as error correction, quantum computation, and simulation of quantum circuits.
Self-testing/correcting with applications to numerical problems
Manuel Blum, Michael Luby, and Ronitt Rubinfeld · 1990
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A statistical theorem of set addition
Antal Balog and Endre Szemerédi · 1994
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Stabilizer codes and quantum error correction
Daniel Gottesman · 1997
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Property testing and its connection to learning and approximation
Oded Goldreich, Shari Goldwasser, and Dana Ron · 1998
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The heisenberg representation of quantum computers
Daniel Gottesman · 1998
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A new proof of szemerédi’s theorem
W.T. Gowers · 2001
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The art of uninformed decisions: A primer to property testing
Eldar Fischer · 2004
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Low-degree tests at large distances
Alex Samorodnitsky · 2007
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Property testing: A learning theory perspective
Dana Ron et al · 2008
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Measurement-based quantum computation
Hans J Briegel, David E Browne, Wolfgang Dür, Robert Raussendorf, and Maarten Van den Nest · 2009
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Classical simulation of quantum computation, the gottesman-knill theorem, and slightly beyond
M. Van Den Nest · 2010
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An inverse theorem for the gowers u s+ 1 [n]-norm
Ben Green, Terence Tao, and Tamar Ziegler · 2012
Cited alongside, same era.
Higher order Fourier analysis
Terence Tao · 2012
Cited alongside, same era.
A survey of quantum property testing
Ashley Montanaro and Ronald de Wolf · 2013
Cited alongside, same era.
Quantum spectrum testing
Ryan O’Donnell and John Wright · 2015
Cited alongside, same era.
Improved classical simulation of quantum circuits dominated by clifford gates
Sergey Bravyi and David Gosset · 2016
Cited alongside, same era.
Sample-optimal tomography of quantum states
Jeongwan Haah, Aram W Harrow, Zhengfeng Ji, Xiaodi Wu, and Nengkun Yu · 2016
Cited alongside, same era.
Low-stabilizer-complexity quantum states are not pseudorandom
Sabee Grewal, Vishnu Iyer, William Kretschmer, and Daniel Liang · 2022
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Stabilizer rank and higher-order Fourier analysis
Farrokh Labib · 2022
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On a conjecture of marton, 2023
W. T. Gowers, Ben Green, Freddie Manners, and Terence Tao · 2023
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A note on polynomial-time tolerant testing stabilizer states
Srinivasan Arunachalam, Sergey Bravyi, and Arkopal Dutt · 2024
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Tolerant testing stabilizer states
Srinivasan Arunachalam and Arkopal Dutt · 2024
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Efficient quantum tomography
Ryan O’Donnell and John Wright · 2016
Cited alongside, same era.
Learning stabilizer states by bell sampling
Ashley Montanaro · 2017
Cited alongside, same era.
Real Randomized Benchmarking
A. K. Hashagen, S. T. Flammia, D. Gross, and J. J. Wallman · 2018
Cited alongside, same era.
Higher-order fourier analysis and applications
Hamed Hatami, Pooya Hatami, and Shachar Lovett · 2019
Cited alongside, same era.
Schur–weyl duality for the clifford group with applications: Property testing, a robust hudson theorem, and de finetti representations
David Gross, Sepehr Nezami, and Michael Walter · 2021
Cited alongside, same era.
Tolerant testing of stabilizer states with a polynomial gap via a generalized uncertainty relation
Zongbo Bao, Philippe van Dordrecht, and Jonas Helsen · 2024
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Stabilizer bootstrapping: A recipe for efficient agnostic tomography and magic estimation, 2024
Sitan Chen, Weiyuan Gong, Qi Ye, and Zhihan Zhang · 2024
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Efficient learning of quantum states prepared with few non-clifford gates, 2024
Sabee Grewal, Vishnu Iyer, William Kretschmer, and Daniel Liang · 2024
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Improved stabilizer estimation via bell difference sampling
Sabee Grewal, Vishnu Iyer, William Kretschmer, and Daniel Liang · 2024
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Quadratic lower bounds on the approximate stabilizer rank: A probabilistic approach
Saeed Mehraban and Mehrdad Tahmasbi · 2024
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