Universal Fault-Tolerant Quantum Computation with Only Transversal Gates and Error Correction
Universal Fault-Tolerant Quantum Computation with Only Transversal Gates and Error Correction
Transversal implementations of encoded unitary gates are highly desirable for fault-tolerant quantum computation. Though transversal gates alone cannot be computationally universal, they can be combined with specially distilled resource states in order to achieve universality. We show that "triorthogonal" stabilizer codes, introduced for state distillation by Bravyi and Haah [Phys. …