VQE for the square-octagon-lattice Kitaev model [Slides]
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
Engineering topics
Jahin, Ammar
Publications and source records attributed to Jahin, Ammar.
Fermionic approach to variational quantum simulation of Kitaev spin models
We use the variational quantum eigensolver (VQE) to simulate Kitaev spin models with and without integrability breaking perturbations, focusing in particular on the honeycomb and square-octagon lattices. These models are well known for being exactly solvable in a certain parameter regime via a mapping to free fermions. We use classical simulations to explore a novel variational ansatz that takes advantage of this fermionic representation and is capable of expressing the exact ground state in the solvable limit. We also demonstrate that this ansatz can be extended beyond this limit to provide excellent accuracy when compared to other VQE approaches. In certain cases, this fermionic representation is advantageous because it reduces by a factor of two the number of qubits required to perform the simulation. We also comment on the implications of our results for simulating non-Abelian anyons on quantum computers.
Jahin, Ammar↗
Benchmarking VQE for the square-octagon-lattice Kitaev model [Slides\
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Li, Andy Yiu↗
Kitaev model on a quantum computer using VQE with Majorana fermions
We study the simulation of the Kitaev spin model on quantum computers. In particular we focus on the models defined on the honeycomb, and square-octagon lattices. Using a fermionic language to describe these models reveals a region of the parameter space that is exactly solvable. We explore an ansatz that is capable of expressing the ground state in the exactly solvable region of the parameter space and extend it outside this region with good accuracy. Doing the calculation using fermions, while requiring the introduction of a non-local map from the fermionic Hilbert space to that of qubits, offers the potentially interesting application of realizing non-abelian anyons on quantum computers, and can also lead to a reduction in the number of qubits required by half.
Jahin, Ammar↗