Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing
We present a coherent counter-diabatic quantum protocol to prepare ground states in the lattice gauge mapping of all-to-all Ising models (LHZ) with considerably enhanced final ground state fidelity compared to a quantum annealing protocol. We make use of a variational method to find approximate coun...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2019-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab14a0 |
| _version_ | 1797750042200637440 |
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| author | Andreas Hartmann Wolfgang Lechner |
| author_facet | Andreas Hartmann Wolfgang Lechner |
| author_sort | Andreas Hartmann |
| collection | DOAJ |
| description | We present a coherent counter-diabatic quantum protocol to prepare ground states in the lattice gauge mapping of all-to-all Ising models (LHZ) with considerably enhanced final ground state fidelity compared to a quantum annealing protocol. We make use of a variational method to find approximate counter-diabatic Hamiltonians that has recently been introduced by Sels and Polkovnikov (2017 Proc. Natl. Acad. Sci. 114 3909). The resulting additional terms in our protocol are time-dependent local on-site y-magnetic fields. These additional Hamiltonian terms do not increase the minimal energy gap, but instead compensate for the Berry curvature. A single free parameter is introduced which is optimized via classical updates. The protocol consists only of local and nearest-neighbor terms which makes it attractive for implementation in near term experiments. |
| first_indexed | 2024-03-12T16:28:04Z |
| format | Article |
| id | doaj.art-0a5181c816134895b07496c11005f647 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:28:04Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-0a5181c816134895b07496c11005f6472023-08-08T15:37:21ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121404302510.1088/1367-2630/ab14a0Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computingAndreas Hartmann0Wolfgang Lechner1https://orcid.org/0000-0003-3662-1020Institute for Theoretical Physics, University of Innsbruck , A-6020 Innsbruck, AustriaInstitute for Theoretical Physics, University of Innsbruck , A-6020 Innsbruck, Austria; Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences , A-6020 Innsbruck, AustriaWe present a coherent counter-diabatic quantum protocol to prepare ground states in the lattice gauge mapping of all-to-all Ising models (LHZ) with considerably enhanced final ground state fidelity compared to a quantum annealing protocol. We make use of a variational method to find approximate counter-diabatic Hamiltonians that has recently been introduced by Sels and Polkovnikov (2017 Proc. Natl. Acad. Sci. 114 3909). The resulting additional terms in our protocol are time-dependent local on-site y-magnetic fields. These additional Hamiltonian terms do not increase the minimal energy gap, but instead compensate for the Berry curvature. A single free parameter is introduced which is optimized via classical updates. The protocol consists only of local and nearest-neighbor terms which makes it attractive for implementation in near term experiments.https://doi.org/10.1088/1367-2630/ab14a0quantum computingadiabatic quantum computingcounter-diabatic driving |
| spellingShingle | Andreas Hartmann Wolfgang Lechner Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing New Journal of Physics quantum computing adiabatic quantum computing counter-diabatic driving |
| title | Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing |
| title_full | Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing |
| title_fullStr | Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing |
| title_full_unstemmed | Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing |
| title_short | Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing |
| title_sort | rapid counter diabatic sweeps in lattice gauge adiabatic quantum computing |
| topic | quantum computing adiabatic quantum computing counter-diabatic driving |
| url | https://doi.org/10.1088/1367-2630/ab14a0 |
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