Fibonacci Anyons Versus Majorana Fermions: A Monte Carlo Approach to the Compilation of Braid Circuits in Anyon Models

E Génetay Johansen, T Simula - PRX Quantum, 2021 - APS
We study SU (2) k anyon models, assessing their prospects for topological quantum
computation. In particular, we compare the Ising (k= 2) anyon and Fibonacci (k= 3) anyon …

Diagonal catalysts in quantum adiabatic optimization

T Albash, M Kowalsky - Physical Review A, 2021 - APS
We propose a protocol for quantum adiabatic optimization whereby an intermediary
Hamiltonian that is diagonal in the computational basis is turned on and off during the …

Effective gaps are not effective: quasipolynomial classical simulation of obstructed stoquastic Hamiltonians

J Bringewatt, M Jarret - Physical Review Letters, 2020 - APS
All known examples suggesting an exponential separation between classical simulation
algorithms and stoquastic adiabatic quantum computing (StoqAQC) exploit symmetries that …

[PDF][PDF] Universal Topological Quantum Computation in a Superfluid Universe

EG Johansen - 2024 - researchbank.swinburne.edu.au
In topological quantum computation (TQC) there are primarily two classes of models based
on fermions and bosons, respectively. While the former is described by non-abelian Chern …

Fibonacci anyons versus Majorana fermions

EG Johansen, T Simula - arXiv preprint arXiv:2008.10790, 2020 - arxiv.org
We have studied ${\rm SU}(2) _k $ anyon models, assessing their prospects for topological
quantum computation. In particular, we have compared the Ising ($ k= 2$) anyon and …

Quantum Algorithms and Applications

M Andrews, JD Dulny, A Glaudell, T Hernandez… - 2020 - apps.dtic.mil
While it will likely be decades before a fully fault-tolerant quantum computer is engineered,
the use of hybrid, quantum-classical protocols promise near-term, perhaps even immediate …