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The Clifford group is a fundamental structure in quantum information with a wide variety of applications.
Quantum Data Hiding
David P. DiVincenzo, Debbie W Leung, and Barbara M Terhal · 2002
Earlier work this paper cites.
Improved simulation of stabilizer circuits
Scott Aaronson and Daniel Gottesman · 2004
Earlier work this paper cites.
Representation Theory
William Fulton and Joe Harris · 2004
Earlier work this paper cites.
Evenly distributed unitaries: On the structure of unitary designs
D. Gross, K. Audenaert, and J. Eisert · 2007
Earlier work this paper cites.
Randomized benchmarking of quantum gates
E. Knill, D. Leibfried, R. Reichle, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland · 2008
Earlier work this paper cites.
Exact and approximate unitary 2-designs and their application to fidelity estimation
Christoph Dankert, Richard Cleve, Joseph Emerson, and Etera Livine · 2009
Earlier work this paper cites.
Symmetry, Representations, and Invariants
Roe Goodman and Nolan R. Wallach · 2009
Cited alongside, same era.
Large deviation bounds for k-designs
R. A. Low · 2009
Cited alongside, same era.
An introduction to quantum error correction and fault-tolerant quantum computation
Daniel Gottesman · 2010
Cited alongside, same era.
Quantum state tomography via compressed sensing
David Gross, Yi-Kai Liu, Steven T. Flammia, Stephen Becker, and Jens Eisert · 2010
Cited alongside, same era.
Scalable and robust randomized benchmarking of quantum processes
Easwar Magesan, J. M. Gambetta, and Joseph Emerson · 2011
Cited alongside, same era.
Randomized benchmarking with confidence
Joel J Wallman and Steven T Flammia · 2014
Cited alongside, same era.
An ideal characterization of the clifford operators
J M Farinholt · 2014
Later among the works it cites.
The Clifford group forms a unitary 3-design
Zak Webb · 2015
Later among the works it cites.
The Clifford group fails gracefully to be a unitary 4-design
H. Zhu, R. Kueng, M. Grassl, and D. Gross · 2016
Closest in time.
Multiqubit clifford groups are unitary 3-designs
Huangjun Zhu · 2017
Closest in time.
Multi-qubit Randomized Benchmarking Using Few Samples
J. Helsen, J. J. Wallman, S. T. Flammia, and S. Wehner · 2017
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Distinguishing quantum states using Clifford orbits
R. Kueng, H. Zhu, and D. Gross
Cited in the paper.
Low rank matrix recovery from Clifford orbits
R. Kueng, H. Zhu, and D. Gross
Cited in the paper.