| Paper Abstract and Keywords |
| Presentation |
2019-05-20 16:10
Sequential minimal optimization for quantum-classical hybrid algorithms
Ken M. Nakanishi (The Univ. of Tokyo), Keisuke Fujii (Osaka Univ.), Synge Todo (The Univ. of Tokyo) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
We propose a sequential minimal optimization method for quantum-classical hybrid algorithms, which converges faster, is robust against statistical error, and is hyperparameter-free. Specifically, the optimization problem of the parameterized quantum circuits is divided into solvable subproblems by considering only a subset of the parameters. In fact, if we choose a single parameter, the cost function becomes a simple sine curve with period $2pi$, and hence we can exactly minimize with respect to the chosen parameter. Furthermore, even in general cases, the cost function is given by a simple sum of trigonometric functions with certain periods and hence can be minimized by using a classical computer. By repeatedly performing this procedure, we can optimize the parameterized quantum circuits so that the cost function becomes as small as possible. We perform numerical simulations and compare the proposed method with existing gradient-free and gradient-based optimization algorithms. We find that the proposed method substantially outperforms the existing optimization algorithms and converges to a solution almost independent of the initial choice of the parameters. This accelerates almost all quantum-classical hybrid algorithms readily and would be a key tool for harnessing near-term quantum devices. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
parameterized quantum circuit / NISQ / optimization method / quantum-classical hybrid algorithm / / / / |
| Reference Info. |
IEICE Tech. Rep. |
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| Conference Information |
| Committee |
QIT |
| Conference Date |
2019-05-20 - 2019-05-21 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Kyushu University, Chikushi Campus |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Quantum Information |
| Paper Information |
| Registration To |
QIT |
| Conference Code |
2019-05-QIT |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Sequential minimal optimization for quantum-classical hybrid algorithms |
| Sub Title (in English) |
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parameterized quantum circuit |
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NISQ |
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optimization method |
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quantum-classical hybrid algorithm |
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| 1st Author's Name |
Ken M. Nakanishi |
| 1st Author's Affiliation |
The University of Tokyo (The Univ. of Tokyo) |
| 2nd Author's Name |
Keisuke Fujii |
| 2nd Author's Affiliation |
Osaka University (Osaka Univ.) |
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Synge Todo |
| 3rd Author's Affiliation |
The University of Tokyo (The Univ. of Tokyo) |
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| Date Time |
2019-05-20 16:10:00 |
| Presentation Time |
20 minutes |
| Registration for |
QIT |
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