Kitaev model on a quantum computer using VQE with Majorana fermions Article Swipe
Ammar Jahin
,
Andy C. Y. Li
,
Thomas Iadecola
,
Peter P. Orth
,
Gabriel Perdue
,
Alexandru Macridin
,
M. Sohaib Alam
,
Norm M. Tubman
·
YOU?
·
· 2023
· Open Access
·
YOU?
·
· 2023
· Open Access
·
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.
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- Type
- article
- Language
- en
- Landing Page
- https://www.osti.gov/biblio/1856021
- https://www.osti.gov/biblio/1856021
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4299817037
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- Title
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Kitaev model on a quantum computer using VQE with Majorana fermionsWork title
- Type
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articleOpenAlex work type
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enPrimary language
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2023Year of publication
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2023-11-16Full publication date if available
- Authors
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Ammar Jahin, Andy C. Y. Li, Thomas Iadecola, Peter P. Orth, Gabriel Perdue, Alexandru Macridin, M. Sohaib Alam, Norm M. TubmanList of authors in order
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https://www.osti.gov/biblio/1856021Publisher landing page
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https://www.osti.gov/biblio/1856021Direct link to full text PDF
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://www.osti.gov/biblio/1856021Direct OA link when available
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MAJORANA, Fermion, Physics, Quantum, Quantum computer, Theoretical physics, Statistical physics, Particle physics, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
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| abstract_inverted_index.half. | 123 |
| abstract_inverted_index.model | 8 |
| abstract_inverted_index.space | 40, 65, 92 |
| abstract_inverted_index.state | 56 |
| abstract_inverted_index.study | 1 |
| abstract_inverted_index.these | 32 |
| abstract_inverted_index.using | 78 |
| abstract_inverted_index.while | 80 |
| abstract_inverted_index.Kitaev | 6 |
| abstract_inverted_index.ansatz | 48 |
| abstract_inverted_index.anyons | 105 |
| abstract_inverted_index.extend | 67 |
| abstract_inverted_index.ground | 55 |
| abstract_inverted_index.models | 18, 33 |
| abstract_inverted_index.number | 118 |
| abstract_inverted_index.offers | 97 |
| abstract_inverted_index.qubits | 120 |
| abstract_inverted_index.region | 36, 61, 71 |
| abstract_inverted_index.Hilbert | 91 |
| abstract_inverted_index.capable | 51 |
| abstract_inverted_index.defined | 19 |
| abstract_inverted_index.exactly | 43, 59 |
| abstract_inverted_index.explore | 46 |
| abstract_inverted_index.outside | 69 |
| abstract_inverted_index.quantum | 10, 107 |
| abstract_inverted_index.qubits, | 96 |
| abstract_inverted_index.reveals | 34 |
| abstract_inverted_index.describe | 31 |
| abstract_inverted_index.language | 29 |
| abstract_inverted_index.required | 121 |
| abstract_inverted_index.solvable | 60 |
| abstract_inverted_index.accuracy. | 74 |
| abstract_inverted_index.fermionic | 28, 90 |
| abstract_inverted_index.fermions, | 79 |
| abstract_inverted_index.lattices. | 25 |
| abstract_inverted_index.non-local | 86 |
| abstract_inverted_index.parameter | 39, 64 |
| abstract_inverted_index.realizing | 103 |
| abstract_inverted_index.reduction | 115 |
| abstract_inverted_index.requiring | 81 |
| abstract_inverted_index.solvable. | 44 |
| abstract_inverted_index.computers, | 108 |
| abstract_inverted_index.computers. | 11 |
| abstract_inverted_index.expressing | 53 |
| abstract_inverted_index.honeycomb, | 22 |
| abstract_inverted_index.particular | 13 |
| abstract_inverted_index.simulation | 3 |
| abstract_inverted_index.application | 101 |
| abstract_inverted_index.calculation | 77 |
| abstract_inverted_index.interesting | 100 |
| abstract_inverted_index.non-abelian | 104 |
| abstract_inverted_index.potentially | 99 |
| abstract_inverted_index.introduction | 83 |
| abstract_inverted_index.square-octagon | 24 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 8 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/7 |
| sustainable_development_goals[0].score | 0.5600000023841858 |
| sustainable_development_goals[0].display_name | Affordable and clean energy |
| citation_normalized_percentile |