Efficient unitary designs with a system-size independent number of non-Clifford gates

D. P DiVincenzo, D. W. Leung, and B. M. Terhal, “Quantum data hiding,” IEEE, Trans. Inf Theory 48

2002

Earlier work this paper cites.

J. Emerson, R. Alicki, and K. Zyczkowski, “Scalable noise estimation with random unitary operators,” J. Opt. B 7

2005

Earlier work this paper cites.

C. Dankert, “MSc thesis, University of Waterloo,” (2005), arXiv:quant-ph/0512217

2005

Earlier work this paper cites.

A. Hayashi, T. Hashimoto, and M. Horibe, “Reexamination of optimal quantum state estimation of pure states,” Phys. Rev. A 72

2005

Earlier work this paper cites.

P. Sen, “Random measurement bases, quantum state distinction and applications to the hidden subgroup problem,” IEEE Conference on Computational Complexity , 274–287 (2006)

2006

Earlier work this paper cites.

P. Hayden and J. Preskill, “Black holes as mirrors: quantum information in random subsystems,” JHEP 0709

2007

Earlier work this paper cites.

D. Gross, K. Audenaert, and J. Eisert, “Evenly distributed unitaries: on the structure of unitary designs,” J. Math. Phys. 48

2007

Earlier work this paper cites.

E. Knill, D. Leibfried, R. Reichle, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Randomized benchmarking of quantum gates,” Phys. Rev. A 77

2008

Earlier work this paper cites.

A. J. Scott, “Optimizing quantum process tomography with unitary 2-designs,” J. Phys. A 41

Original

2008

Cited alongside, same era.

C. Dankert, R. Cleve, J. Emerson, and E. Livine, “Exact and approximate unitary 2-designs and their application to fidelity estimation,” Phys. Rev. A 80

2009

Cited alongside, same era.

A. Ambainis, J. Bouda, and A. Winter, “Nonmalleable encryption of quantum information,” J. Math. Phys. 50

2009

Cited alongside, same era.

W. Matthews, S. Wehner, and A. Winter, “Distinguishability of quantum states under restricted families of measurements with an application to quantum data hiding,” Commun. Math. Phys. 291

2009

Cited alongside, same era.

H. Zhu and B.-G. Englert, “Quantum state tomography with fully symmetric measurements and product measurements,” Phys. Rev. A 84

2011

F. G. S. L. Brandao and M. Horodecki, “Exponential quantum speed-ups are generic,” Quant. Inf. Comp. 13

2013

Later among the works it cites.

L. Masanes, A. J. Roncaglia, and A. Ac$́\mathrm{$}{i} n

2013

Later among the works it cites.

D. Gross, F. Krahmer, and R. Kueng, “A partial derandomization of PhaseLift using spherical designs,” J. Fourier Anal. Appl. 21

2015

Later among the works it cites.

R. Kueng, H. Zhu, and D. Gross, “Distinguishing quantum states using Clifford orbits,” (2016), arXiv:1609.08595

Original

2016

Later among the works it cites.

D. A. Roberts and B. Yoshida, “Chaos and complexity by design,” JHEP 04

2017

Later among the works it cites.