Universal Fault-Tolerant Quantum Computation with Only Transversal Gates and Error Correction

Distilling one-qubit magic states into Toffoli states

(2013) Bryan Eastin   PHYSICAL REVIEW A

Low-overhead constructions for the fault-tolerant Toffoli gate

(2013) Cody Jones   PHYSICAL REVIEW A

Composite Toffoli gate with two-round error detection

(2013) Cody Jones   PHYSICAL REVIEW A

Multilevel distillation of magic states for quantum computing

(2013) Cody Jones   PHYSICAL REVIEW A

Surface code implementation of block code state distillation

(2013) Austin G. Fowler et al.   Scientific Reports

Magic-state distillation with low overhead

(2012) Sergey Bravyi et al.   PHYSICAL REVIEW A

Transversality Versus Universality for Additive Quantum Codes

(2011) Bei Zeng et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Surface code quantum computing with error rates over 1%

(2011) David S. Wang et al.   PHYSICAL REVIEW A

Restrictions on Transversal Encoded Quantum Gate Sets

(2009) Bryan Eastin et al.   PHYSICAL REVIEW LETTERS

Subsystem stabilizer codes cannot have a universal set of transversal gates for even one encoded qudit

(2008) Xie Chen et al.   PHYSICAL REVIEW A