Transversal switching between generic stabilizer codes

A. G. Fowler, S. J. Devitt, and C. Jones, “Surface code implementation of block code state distillation,” (2013), Scientific Reports 3, 1939

1939

Earlier work this paper cites.

P. W. Shor, “Fault-tolerant quantum computation,” (1996), 37th Symposium on Foundations of Computing, IEEE Computer Society Press, pp. 56-65

1996

Earlier work this paper cites.

I. Dumer, D. Micciancio, and M. Sudan, “Hardness of approximating the minimum distance of a linear code,” (2003), IEEE Transactions on Information Theory, 49(1):22-37

2003

Earlier work this paper cites.

P. Aliferis, D. Gottesman, and J. Preskill, “Quantum accuracy threshold for concatenated distance-3 codes,” (2006), Quantum Inf. Comput. 6, 97Ð165

2006

Earlier work this paper cites.

B. Eastin and E. Knill, “Restrictions on transversal encoded quantum gate sets,” (2009), Phys. Rev. Lett. 102, 110502

2009

Earlier work this paper cites.

H. Bombin and M. Martin-Delgado, “Quantum measurements and gates by code deformation,” (2009), J. Phys. A: Math. Theor. 42

2009

Earlier work this paper cites.

B. Zeng, A. Cross, and I. L. Chuang, “Transversality versus universality for additive quantum codes,” (2011), IEEE Transactions on Information Theory, Volume: 57, Issue: 9, 6272 - 6284

2011

Earlier work this paper cites.

S. Bravyi and J. Haah, “Magic state distillation with low overhead,” (2012), Phys. Rev. A 86, 052329

2012

Cited alongside, same era.

A. Paetznick and B. W. Reichardt, “Universal fault-tolerant quantum computation with only transversal gates and error correction,” (2013), Phys. Rev. Lett. 111, 090505 (2013)

2013

Cited alongside, same era.

C. D. Hill, A. G. Fowler, D. S. Wang, and L. C. Hollenberg, “Fault-tolerant quantum error correction code conversion,” (2013), Quantum Inf. Comput. 13, 439Ð451

2013

Cited alongside, same era.

D. Gottesman and L. L. Zhang, “Fibre bundle framework for unitary quantum fault tolerance,” (2013), arXiv:1309.7062

Original

2013

Cited alongside, same era.

J. T. Anderson, G. Duclos-Cianci, and D. Poulin, “Fault-tolerant conversion between the Steane and Reed-Muller quantum codes,” (2014), Phys. Rev. Lett. 113, 080501

T. A. Brun, Y.-C. Zheng, K.-C. Hsu, J. Job, and C.-Y. Lai, “Teleportation-based fault-tolerant quantum computation in multi-qubit large block codes,” (2015), arXiv:1504.03913

Original

2015

Later among the works it cites.

T. J. Yoder, R. Takagi, and I. L. Chuang, “Universal fault-tolerant gates on concatenated stabilizer codes,” (2016), Phys. Rev. X 6, 031039 (2016)

2016

Later among the works it cites.

M. Newman and Y. Shi, “Limitations on transversal computation through quantum homomorphic encryption,” (2017), https://arxiv.org/abs/1704.07798

Original

2017

Closest in time.

T. J. Yoder, “Universal fault-tolerant quantum computation with Bacon-Shor codes,” (2017), arXiv:1705.01686

Original

2017

Closest in time.