Fetching the paper…
Reading the bibliography…
Unitary $t$-designs are `good' finite subsets of the unitary group $U(d)$ that approximate the whole unitary group $U(d)$ well.
The clifford group fails gracefully to be a unitary 4-design, 2016, arXiv:1609.08172
Huangjun Zhu, Richard Kueng, Markus Grassl, and David Gross · 1906
Earlier work this paper cites.
Finite unitary reflection groups
G. C. Shephard and J. A. Todd · 1954
Earlier work this paper cites.
An algebraic approach to the association schemes of coding theory
P. Delsarte · 1973
Earlier work this paper cites.
Spherical codes and designs
P. Delsarte, J. M. Goethals, and J. J. Seidel · 1977
Earlier work this paper cites.
Spherical t t -designs which are orbits of finite groups
Eiichi Bannai · 1984
Earlier work this paper cites.
Averaging sets: a generalization of mean values and spherical designs
P. D. Seymour and Thomas Zaslavsky · 1984
Earlier work this paper cites.
Atlas of finite groups
J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson · 1985
Earlier work this paper cites.
Programming for mathematicians
Raymond Séroul · 1995
Earlier work this paper cites.
Quantum data hiding
D. P. DiVincenzo, D. W. Leung, and B. M. Terhal · 2002
Earlier work this paper cites.
Lie groups
Daniel Bump · 2004
Earlier work this paper cites.
Decompositions of small tensor powers and Larsen’s conjecture
Robert M. Guralnick and Pham Huu Tiep · 2005
Earlier work this paper cites.
Reexamination of optimal quantum state estimation of pure states
A. Hayashi, T. Hashimoto, and M. Horibe · 2005
Earlier work this paper cites.
Tight informationally complete quantum measurements
Andrew J Scott · 2006
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
Cited alongside, same era.
Optimizing quantum process tomography with unitary 2-designs
A. J. Scott · 2008
Cited alongside, same era.
Nonmalleable encryption of quantum information
Andris Ambainis, Jan Bouda, and Andreas Winter · 2009
Cited alongside, same era.
A survey on spherical designs and algebraic combinatorics on spheres
Eiichi Bannai and Etsuko Bannai · 2009
Cited alongside, same era.
Exact and approximate unitary 2-designs and their application to fidelity estimation
Christoph Dankert, Richard Cleve, Joseph Emerson, and Etera Livine · 2009
Cited alongside, same era.
Efficient quantum tensor product expanders and k k -designs
Aram W. Harrow and Richard A. Low · 2009
Qubit stabilizer states are complex projective 3-designs, 2015, arXiv:1510.02767
Richard Kueng and David Gross · 2015
Later among the works it cites.
Local random quantum circuits are approximate polynomial-designs
Fernando G. S. L. Brandão, Aram W. Harrow, and MichałHorodecki · 2016
Later among the works it cites.
Near-linear constructions of exact unitary 2-designs
Richard Cleve, Debbie Leung, Li Liu, and Chunhao Wang · 2016
Later among the works it cites.
Quantum Compressed Sensing Using 2-Designs
Y.-K. Liu and S. Kimmel · 2016
Later among the works it cites.
The clifford group forms a unitary 3-design
Zak Webb · 2016
Later among the works it cites.
Design theory from the viewpoint of algebraic combinatorics
Eiichi Bannai, Etsuko Bannai, Hajime Tanaka, and Yan Zhu · 2017
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Random quantum circuits are approximate 2-designs
Aram W Harrow and Richard A Low · 2009
Cited alongside, same era.
Unitary designs and codes
Aidan Roy and A. J. Scott · 2009
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.
Quantum state tomography with fully symmetric measurements and product measurements
Huangjun Zhu and Berthold-Georg Englert · 2011
Cited alongside, same era.
Characterizing quantum gates via randomized benchmarking
Easwar Magesan, Jay M. Gambetta, and Joseph Emerson · 2012
Cited alongside, same era.
Decoupling with unitary approximate two-designs
Oleg Szehr, Frédéric Dupuis, Marco Tomamichel, and Renato Renner · 2013
Cited alongside, same era.
Later among the works it cites.
Efficient quantum pseudorandomness with nearly time-independent hamiltonian dynamics
Yoshifumi Nakata, Christoph Hirche, Masato Koashi, and Andreas Winter · 2017
Later among the works it cites.
Decoupling with random diagonal unitaries
Yoshifumi Nakata, Christoph Hirche, Ciara Morgan, and Andreas Winter · 2017
Later among the works it cites.
Linxi Zhang, Chuanghua Zhu, and Changxing Pei · 2017
Later among the works it cites.
Multiqubit clifford groups are unitary 3-designs
Huangjun Zhu · 2017
Later among the works it cites.
Unitary t-groups, 2018, arXiv:1810.02507
Eiichi Bannai, Gabriel Navarro, Noelia Rizo, and Pham Huu Tiep · 2018
Later among the works it cites.
Unitary designs in quantum information science
Yoshifumi Nakata · 2018
Later among the works it cites.
GAP – Groups, Algorithms, and Programming, Version 4.10.1
The GAP Group · 2019
Closest in time.