Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticity
We propose a mean to obtain computationally useful resource states also known as cluster states, for measurement-based quantum computation, via transitionless quantum driving algorithm. The idea is to cool the system to its unique ground state and tune some control parameters to arrive at computatio...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2018-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aab315 |
| _version_ | 1827873396669546496 |
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| author | Thi Ha Kyaw Leong-Chuan Kwek |
| author_facet | Thi Ha Kyaw Leong-Chuan Kwek |
| author_sort | Thi Ha Kyaw |
| collection | DOAJ |
| description | We propose a mean to obtain computationally useful resource states also known as cluster states, for measurement-based quantum computation, via transitionless quantum driving algorithm. The idea is to cool the system to its unique ground state and tune some control parameters to arrive at computationally useful resource state, which is in one of the degenerate ground states. Even though there is set of conserved quantities already present in the model Hamiltonian, which prevents the instantaneous state to go to any other eigenstate subspaces, one cannot quench the control parameters to get the desired state. In that case, the state will not evolve. With involvement of the shortcut Hamiltonian, we obtain cluster states in fast-forward manner. We elaborate our proposal in the one-dimensional Kitaev honeycomb model, and show that the auxiliary Hamiltonian needed for the counterdiabatic driving is of M -body interaction. |
| first_indexed | 2024-03-12T16:36:26Z |
| format | Article |
| id | doaj.art-6bb69d98f5474a098cc194cd9ced5b5e |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:36:26Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-6bb69d98f5474a098cc194cd9ced5b5e2023-08-08T14:52:02ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120404500710.1088/1367-2630/aab315Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticityThi Ha Kyaw0https://orcid.org/0000-0002-3557-2709Leong-Chuan Kwek1Centre for Quantum Technologies, National University of Singapore , 3 Science Drive 2, Singapore 117543, SingaporeCentre for Quantum Technologies, National University of Singapore , 3 Science Drive 2, Singapore 117543, Singapore; MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit, UMI 3654, Singapore; Institute of Advanced Studies, Nanyang Technological University , 60 Nanyang View, Singapore 639673, Singapore; National Institute of Education, Nanyang Technological University , 1 Nanyang Walk, Singapore 637616, SingaporeWe propose a mean to obtain computationally useful resource states also known as cluster states, for measurement-based quantum computation, via transitionless quantum driving algorithm. The idea is to cool the system to its unique ground state and tune some control parameters to arrive at computationally useful resource state, which is in one of the degenerate ground states. Even though there is set of conserved quantities already present in the model Hamiltonian, which prevents the instantaneous state to go to any other eigenstate subspaces, one cannot quench the control parameters to get the desired state. In that case, the state will not evolve. With involvement of the shortcut Hamiltonian, we obtain cluster states in fast-forward manner. We elaborate our proposal in the one-dimensional Kitaev honeycomb model, and show that the auxiliary Hamiltonian needed for the counterdiabatic driving is of M -body interaction.https://doi.org/10.1088/1367-2630/aab315measurement-based quantum computationcluster statestransitionless quantum driving algorithm |
| spellingShingle | Thi Ha Kyaw Leong-Chuan Kwek Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticity New Journal of Physics measurement-based quantum computation cluster states transitionless quantum driving algorithm |
| title | Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticity |
| title_full | Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticity |
| title_fullStr | Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticity |
| title_full_unstemmed | Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticity |
| title_short | Cluster state generation in one-dimensional Kitaev honeycomb model via shortcut to adiabaticity |
| title_sort | cluster state generation in one dimensional kitaev honeycomb model via shortcut to adiabaticity |
| topic | measurement-based quantum computation cluster states transitionless quantum driving algorithm |
| url | https://doi.org/10.1088/1367-2630/aab315 |
| work_keys_str_mv | AT thihakyaw clusterstategenerationinonedimensionalkitaevhoneycombmodelviashortcuttoadiabaticity AT leongchuankwek clusterstategenerationinonedimensionalkitaevhoneycombmodelviashortcuttoadiabaticity |