Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session AAA06: V: Topological Qubits and Quantum Thermodynamics
12:30 PM–2:30 PM,
Wednesday, March 22, 2023
Room: Virtual Room 6
Sponsoring
Unit:
DQI
Chair: Tanuj Khattar
Abstract: AAA06.00003 : Creation operators for 2+1 non-abelian anyons*
1:18 PM–1:30 PM
Presenter:
Nicetu Tibau Vidal
(University of Oxford)
Authors:
Nicetu Tibau Vidal
(University of Oxford)
Lucia Vilchez Estevez
(University of Oxford)
In this talk I will show how to find the annihilation operators for any non-abelian anyon theory in 2+1 D, modifying the diagrammatic formalism. Moreover, I analyse the algebraic relations of the anyonic creation and annihilation operators. I show how the number of creation operators is related to the number of different allowed fusion channels. I specifically show the cases of Fibonacci anyons and Majorana fermions. I explore some possible uses of these new structures, as studying the 2D anyonic Hubbard model via a generalised anyonic Jordan-Wigner transformation or opening new avenues for error correcting codes for quasiparticle poisoning.
*Lucia Vilchez Estevez. is supported by the Clarendon Fund from the University of Oxford.
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