5 papers · 1 filter
Universal Gates from Braiding and Fusing Anyons on Quantum Hardware
Chiu Fan Bowen Lo, Anasuya Lyons, Dan Gresh +8
Topological quantum computation encodes quantum information in the internal fusion space of non-Abelian anyonic quasiparticles, whose braiding implements logical gates. This goes b…
Quantum computing with anyons is fault tolerant
Anasuya Lyons, Benjamin J. Brown
In seminal work (arxiv:quant-ph/9707021) Alexei Kitaev proposed topological quantum computing (arXiv:cond-mat/0010440, arxiv:quant-ph/9707021, arXiv:quant-ph/0001108, arXiv:0707.18…
Protocols for Creating Anyons and Defects via Gauging
Anasuya Lyons, Chiu Fan Bowen Lo, Nathanan Tantivasadakarn +2
Creating and manipulating anyons and symmetry defects in topological phases, especially those with a non-Abelian character, constitutes a primitive for topological quantum computat…
Universal Quantum Computation with the Quantum Double: A Pedagogical Exposition
Chiu Fan Bowen Lo, Anasuya Lyons, Ruben Verresen +2
Non-Abelian topological order (TO) enables topologically protected quantum computation with its anyonic quasiparticles. Recently, TO with gauge symmetry was identified as a s…
Qutrit Toric Code and Parafermions in Trapped Ions
Mohsin Iqbal, Anasuya Lyons, Chiu Fan Bowen Lo +16
The development of programmable quantum devices can be measured by the complexity of manybody states that they are able to prepare. Among the most significant are topologically ord…