Towards low overhead magic state distillation

The theory of error-correcting codes

F. J. MacWilliams and N. J. A. Sloane · 1977

Earlier work this paper cites.

Stabilizer codes and quantum error correction

D. Gottesman · 1997

Earlier work this paper cites.

Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations

D. Gottesman and I. L. Chuang · 1999

Earlier work this paper cites.

Magic-state distillation with low overhead

S. Bravyi and J. Haah · 2012

Earlier work this paper cites.

Qutrit magic state distillation

H. Anwar, E. T. Campbell, and D. E. Browne · 2012

Earlier work this paper cites.

Magic-state distillation in all prime dimensions using quantum reed-muller codes

E. T. Campbell, H. Anwar, and D. E. Browne · 2012

Cited alongside, same era.

Qudit versions of the qubit π \pi /8 gate

M. Howard and J. Vala · 2012

Cited alongside, same era.

Comparing the overhead of topological and concatenated quantum error correction

Original

M. Suchara, A. Faruque, C.-Y. Lai, G. Paz, F. T. Chong, and J. Kubiatowicz · 2013

Cited alongside, same era.

Multilevel distillation of magic states for quantum computing

C. Jones · 2013

Cited alongside, same era.

Enhanced fault-tolerant quantum computing in d-level systems

E. T. Campbell · 2014

Cited alongside, same era.

On products and powers of linear codes under componentwise multiplication

H. Randriambololona · 2015

Later among the works it cites.

Quantum computation with realistic magic-state factories

J. O’Gorman and E. T. Campbell · 2017

Later among the works it cites.

Diagonal gates in the clifford hierarchy

S. X. Cui, D. Gottesman, and A. Krishna · 2017

Later among the works it cites.

Distillation with sublogarithmic overhead

M. B. Hastings and J. Haah · 2018

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Codes and protocols for distilling t t , controlled- s s , and toffoli gates

J. Haah and M. B. Hastings · 2018

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