| Paper Abstract and Keywords |
| Presentation |
2019-11-18 17:50
Error suppression for adiabatic quantum computation with 2-local Hamiltonian
Ryotaro Suzuki, Keisuke Fujii (Osaka Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
To protect adiabatic quantum computation (AQC) from noise is necessary for reliable and large‐scale quantum computation. Recently, an error suppression method for 1D transversal field Ising Hamiltonian with 2-local Hamiltonian by generalized Bacon-Shor code has shown. However, because this method needs 4-local Hamiltonian when it is applied to degree-three Ising Hamiltonian and universal AQC, to perform them is unfeasible. This problem is possibly settled by using more general codes. Here we present no-go theorem that even if we use the subsystem codes, which is a broad class of generalized Bacon-Shor code,
there is no error suppression method for degree-three transversal field Ising Hamiltonian with 2-local Hamiltonian. In order to circumvent it, we consider perturbative approximation. In this case, 2-local Hamiltonian encoded by a subsystem code can perform universal AQC approximately. As a result, we provide new guidance on error suppression with 2-local Hamiltonian. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
adiabatic quantum computation / quantum error correcting code / Hamiltonian gadget / / / / / |
| Reference Info. |
IEICE Tech. Rep. |
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| Conference Information |
| Committee |
QIT |
| Conference Date |
2019-11-18 - 2019-11-19 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Gakushuin University |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Quantum Information |
| Paper Information |
| Registration To |
QIT |
| Conference Code |
2019-11-QIT |
| Language |
English (Japanese title is available) |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Error suppression for adiabatic quantum computation with 2-local Hamiltonian |
| Sub Title (in English) |
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adiabatic quantum computation |
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quantum error correcting code |
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Hamiltonian gadget |
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| 1st Author's Name |
Ryotaro Suzuki |
| 1st Author's Affiliation |
Osaka University (Osaka Univ.) |
| 2nd Author's Name |
Keisuke Fujii |
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Osaka University (Osaka Univ.) |
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| Date Time |
2019-11-18 17:50:00 |
| Presentation Time |
20 minutes |
| Registration for |
QIT |
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