6 citations · 7 across the 4 of their papers we have counts for
4 papers
A Classification of Transversal Clifford Gates for Qubit Stabilizer Codes
Shival Dasu, Simon Burton
This work classifies stabilizer codes by the set of diagonal Clifford gates that can be implemented transversally on them. We show that, for any stabilizer code, its group of diago…
Breaking even with magic: demonstration of a high-fidelity logical non-Clifford gate
Shival Dasu, Simon Burton, Karl Mayer +7
Encoding quantum information to protect it from errors is essential for performing large-scale quantum computations. Performing a universal set of quantum gates on encoded states d…
Genons, Double Covers and Fault-tolerant Clifford Gates
Simon Burton, Elijah Durso-Sabina, Natalie C. Brown
A great deal of work has been done developing quantum codes with varying overhead and connectivity constraints. However, given the such an abundance of codes, there is a surprising…
A real stable extension of the Vamos matroid polynomial
Sam Burton, Cynthia Vinzant, Yewon Youm
In 2004, Choe, Oxley, Sokal and Wagner established a tight connection between matroids and multiaffine real stable polynomials. Recently, Branden used this theory and a polynomial…