3 papers
quant-ph2019
Optimizing Clifford gate generation for measurement-only topological quantum computation with Majorana zero modes
Alan Tran, Alex Bocharov, Bela Bauer +1
One of the main challenges for quantum computation is that while the number of gates required to perform a non-trivial quantum computation may be very large, decoherence and errors…
math.QA2018
On invariants of Modular categories beyond modular data
Parsa Bonderson, Colleen Delaney, César Galindo +3
We study novel invariants of modular categories that are beyond the modular data, with an eye towards a simple set of complete invariants for modular categories. Our focus is on th…
math.QA2018
A systematic search of knot and link invariants beyond modular data
Colleen Delaney, Alan Tran
The smallest known example of a family of modular categories that is not determined by its modular data are the rank 49 categories for $G=\mathbb{Z}_{…