Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model

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2021
Authors
Li, Andy C.Y.
Alam, M. Sohaib
Iadecola, Thomas
Jahin, Ammar
Murat Kurkcuoglu, Doga
Li, Richard
Orth, Peter
Özgüler, A. Barış
Perdue, Gabriel N.
Tubman, Norm M.
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arXiv
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Orth, Peter
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Physics and Astronomy
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Ames Laboratory
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Physics and AstronomyAmes Laboratory
Abstract
Quantum spin systems may offer the first opportunities for beyond-classical quantum computations of scientific interest. While general quantum simulation algorithms likely require error-corrected qubits, there may be applications of scientific interest prior to the practical implementation of quantum error correction. The variational quantum eigensolver (VQE) is a promising approach to find energy eigenvalues on noisy quantum computers. Lattice models are of broad interest for use on near-term quantum hardware due to the sparsity of the number of Hamiltonian terms and the possibility of matching the lattice geometry to the hardware geometry. Here, we consider the Kitaev spin model on a hardware-native square-octagon qubit connectivity map, and examine the possibility of efficiently probing its rich phase diagram with VQE approaches. By benchmarking different choices of variational ansatz states and classical optimizers, we illustrate the advantage of a mixed optimization approach using the Hamiltonian variational ansatz (HVA). We further demonstrate the implementation of an HVA circuit on Rigetti's Aspen-9 chip with error mitigation.
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This is a pre-print of the article Li, Andy CY, M. Sohaib Alam, Thomas Iadecola, Ammar Jahin, Doga Murat Kurkcuoglu, Richard Li, Peter P. Orth, A. Barış Özgüler, Gabriel N. Perdue, and Norm M. Tubman. "Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model." arXiv preprint arXiv:2108.13375 (2021). DOI: 10.48550/arXiv.2108.13375. Copyright 2022 The Authors. Posted with permission.
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