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2012

Magic-state distillation with the four-qubit code

Meier, Adam M., Eastin, Bryan, Knill, Emanuel

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The distillation of magic states is an often-cited technique for enabling universal quantum computing once the error probability for a special subset of gates has been made negligible by other means.

We present a routine for magic-state distillation that reduces the required overhead for a range of parameters of practical interest.
Each iteration of the routine uses a four-qubit error-detecting code to distill the +1 eigenstate of the Hadamard gate at a cost of ten input states per two improved output states.
Use of this routine in combination with the 15-to-1 distillation routine described by Bravyi and Kitaev allows for further improvements in overhead.

Magic-state distillation with the four-qubit code · Around

Built on

Gabriele Nebe, E. M. Rains, and N. J. A. Sloane, “The invariants of the Clifford groups,” Designs, Codes and Cryptography 24
2001
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2001)
2001
Earlier work this paper cites.
E. Knill, “Fault-tolerant postselected quantum computation: Schemes,” (2004), arXiv:quant-ph/0402171
2004
Earlier work this paper cites.

Similar

Sergey Bravyi and Alexei Kitaev, “Universal quantum computation with ideal Clifford gates and noisy ancillas,” Phys. Rev. A 71
2005
Cited alongside, same era.
Ben Reichardt, “Quantum universality from magic states distillation applied to CSS codes,” Quantum Information Processing 4
2005
Cited alongside, same era.
Earl T. Campbell and Dan E. Browne, “On the structure of protocols for magic state distillation,” in Lecture Notes in Computer Science: Theory of Quantum Computation (2009) arXiv:0908.0838
Original
2009
Cited alongside, same era.

Then

Earl T. Campbell and Dan E. Browne, “Bound states for magic state distillation in fault-tolerant quantum computation,” Phys. Rev. Lett. 104
Original
2010
Later among the works it cites.
N. Cody Jones, Rodney Van Meter, Austin G. Fowler, Peter L. McMahon, Jungsang Kim, Thaddeus D. Ladd, and Yoshihisa Yamamoto, “A layered architecture for quantum computing using quantum dots,” (2010), arXiv:1010.5022
Original
2010
Later among the works it cites.

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