Fetching the paper…
Reading the bibliography…
Quantum normalizer circuits were recently introduced as generalizations of Clifford circuits [arXiv:1201.4867]: a normalizer circuit over a finite Abelian group $G$ is composed of the quantum Fourier transform (QFT) over G, together with gates which compute quadratic functions and automorphisms.
quant-ph/9608048
E. Knill, “Non-binary unitary error bases and quantum codes,” tech. rep., Los Alamos National Laboratory, 1996 · 1996
Earlier work this paper cites.
PhD thesis, California Institute of Technology, 1997
D. Gottesman, Stabilizer Codes and Quantum Error Correction · 1997
Earlier work this paper cites.
P. W. Shor, “Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer,” SIAM J. Sci. Statist. Comput. 26
1997
Earlier work this paper cites.
Springer-Verlag, 1998
D. Gottesman, “Fault-tolerant quantum computation with higher-dimensional systems,” in Selected papers from the First NASA International Conference on Quantum Computing and Quantum Communications · 1998
Earlier work this paper cites.
International Press, 1999
D. Gottesman, “The Heisenberg representation of quantum computers,” in Group22: Proceedings of the XXII International Colloquium on Group Theoretical Methods in Physics · 1999
Earlier work this paper cites.
IEEE Computer Society, 1999
P. O. Boykin, T. Mor, M. Pulver, V. Roychowdhury, and F. Vatan, “On universal and fault-tolerant quantum computing: A novel basis and a new constructive proof of universality for shor’s basis,” in Proceedings of the 40th Annual Symposium on Foundations of Computer Science · 1999
Earlier work this paper cites.
M. Hillery, V. Bužek, and A. Berthiaume, “Quantum secret sharing,” Phys. Rev. A
1999
Earlier work this paper cites.
R. Cleve, D. Gottesman, and H.-K. Lo, “How to share a quantum secret,” Phys. Rev. Lett
1999
Earlier work this paper cites.
PhD thesis, University of Oxford, 1999
M. Mosca, Quantum computer algorithms · 1999
Earlier work this paper cites.
Cambridge University Press, 2000
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information · 2000
Earlier work this paper cites.
P. O. Boykin, T. Mor, M. Pulver, V. Roychowdhury, and F. Vatan, “A new universal and fault-tolerant quantum basis,” Information Processing Letters
2000
Earlier work this paper cites.
D. Gottesman, “Theory of quantum secret sharing,” Phys. Rev. A
2000
Earlier work this paper cites.
PhD thesis, University of Waterloo, 2000
A. Storjohann, Algorithms for Matrix Canonical Forms · 2000
Earlier work this paper cites.
H. J. Briegel and R. Raussendorf, “Persistent entanglement in arrays of interacting particles,” Phys. Rev. Lett
2001
Earlier work this paper cites.
R. Raussendorf and H. J. Briegel, “A one-way quantum computer,” Phys. Rev. Lett
2001
Cited alongside, same era.
K. K. H. Cheung and M. Mosca, “Decomposing finite Abelian groups,” Quantum Info. Comput
2001
Cited alongside, same era.
M. A. Nielsen, M. J. Bremner, J. L. Dodd, A. M. Childs, and C. M. Dawson, “Universal simulation of hamiltonian dynamics for quantum systems with finite-dimensional state spaces,” Phys. Rev. A
2002
Cited alongside, same era.
D. L. Zhou, B. Zeng, Z. Xu, and C. P. Sun, “Quantum computation based on d
2003
Cited alongside, same era.
A. Y. Kitaev, “Fault-tolerant quantum computation by anyons,” Annals of Physics
2003
Cited alongside, same era.
J. Dehaene and B. De Moor, “Clifford group, stabilizer states, and linear and quadratic operations over GF(2),” Phys. Rev. A
2007
Later among the works it cites.
Cambridge University Press, 2nd ed., 2008
V. Shoup, A Computational Introduction to Number Theory and Algebra · 2008
Later among the works it cites.
M. Van den Nest, “Simulating quantum computers with probabilistic methods,” Quantum Info. Comput
2009
Later among the works it cites.
A. M. Childs and W. van Dam, “Quantum algorithms for algebraic problems,” Rev. Mod. Phys
2010
Later among the works it cites.
Cambridge University Press, 2010
R. P. Brent and P. Zimmermann, Modern Computer Arithmetic · 2010
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2003
Cited alongside, same era.
C. Lomont, “The hidden subgroup problem - review and open problems.” quant-ph/0411037, 2004
2004
Cited alongside, same era.
D. Schlingemann, “Cluster states, algorithms and graphs,” Quantum Info. Comput
2004
Cited alongside, same era.
E. Hostens, J. Dehaene, and B. De Moor, “Stabilizer states and Clifford operations for systems of arbitrary dimensions and modular arithmetic,” Phys. Rev. A
2005
Cited alongside, same era.
S. Bravyi and A. Kitaev, “Universal quantum computation with ideal clifford gates and noisy ancillas,” Phys. Rev. A
2005
Cited alongside, same era.
IOS Press, 2006
M. Hein, W. Dür, J. Eisert, R. Raussendorf, M. Van den Nest, and H. J. Briegel, “Entanglement in graph states and its applications,” in Quantum Computers, Algorithms and Chaos · 2006
Cited alongside, same era.
H. Bombín and M. A. Martín-Delgado, “Homological error correction: Classical and quantum codes,” Journal of Mathematical Physics
2007
Cited alongside, same era.
University of Waterloo, 2011
A. Childs, Lecture Notes on Quantum Algorithms (CO 781/CS 867/QIC 823) · 2011
Later among the works it cites.
V. Gheorghiu, “Standard form of qudit stabilizer groups.” arXiv:1101.1519v1 [quant-ph], 2011
2011
Later among the works it cites.
2011
Later among the works it cites.
2012
Closest in time.
2012
Closest in time.
2013
Closest in time.
2013
Closest in time.