4 papers
A four-dimensional toric code with non-Clifford transversal gates
Tomas Jochym-O'Connor, Theodore J. Yoder
The design of a four-dimensional toric code is explored with the goal of finding a lattice capable of implementing a logical gate transversally. The established lat…
Fault-tolerant gates via homological product codes
Tomas Jochym-O'Connor
A method for the implementation of a universal set of fault-tolerant logical gates is presented using homological product codes. In particular, it is shown that one can fault-toler…
Advantages of versatile neural-network decoding for topological codes
Nishad Maskara, Aleksander Kubica, Tomas Jochym-O'Connor
Finding optimal correction of errors in generic stabilizer codes is a computationally hard problem, even for simple noise models. While this task can be simplified for codes with s…
Thresholds for universal concatenated quantum codes
Christopher Chamberland, Tomas Jochym-O'Connor, Raymond Laflamme
Quantum error correction and fault-tolerance make it possible to perform quantum computations in the presence of imprecision and imperfections of realistic devices. An important qu…