| Paper Abstract and Keywords |
| Presentation |
2023-12-17 17:15
Quantum circuit for simulating the Schwinger model
Kazuki Sakamoto, Hayata Morisaki, Junichi Haruna (Osaka Univ.), Etsuko Itou (Kyoto Univ./RIKEN), Keisuke Fujii (Osaka Univ./RIKEN), Kosuke Mitarai (Osaka Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
The Schwinger model is one of the simplest gauge theories. It is known that a topological term of the model leads to the infamous sign problem in the classical Monte Carlo method. In contrast to this, recently, quantum computing in Hamiltonian formalism has gained attention. In this work, we estimate the resources needed for quantum computers to compute physical quantities that are challenging to compute on classical computers. Specifically, we propose an efficient implementation of block-encoding of the Schwinger model Hamiltonian. Considering the structure of the Hamiltonian, this block-encoding can be implemented using $mathcal{O}(N+log^2(N/varepsilon))$ T gates. As an end-to-end application, we compute the vacuum persistence amplitude. As a result, we found that for a system size $N=100$ and an additive error $varepsilon=0.01$, with an evolution time $t$ and a lattice spacing a satisfying $t/2a=10$, the vacuum persistence amplitude can be calculated using about $10^{13}$ T gates. Our results provide insights into predictions about the performance of quantum computers in the FTQC and early FTQC era. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Quantum algorithms / Schwinger model / Block-encoding / / / / / |
| Reference Info. |
IEICE Tech. Rep. |
| Paper # |
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| Download PDF |
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| Conference Information |
| Committee |
QIT |
| Conference Date |
2023-12-17 - 2023-12-19 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
OIST |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Quantum Information |
| Paper Information |
| Registration To |
QIT |
| Conference Code |
2023-12-QIT |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Quantum circuit for simulating the Schwinger model |
| Sub Title (in English) |
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| Keyword(1) |
Quantum algorithms |
| Keyword(2) |
Schwinger model |
| Keyword(3) |
Block-encoding |
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| 1st Author's Name |
Kazuki Sakamoto |
| 1st Author's Affiliation |
Osaka University (Osaka Univ.) |
| 2nd Author's Name |
Hayata Morisaki |
| 2nd Author's Affiliation |
Osaka University (Osaka Univ.) |
| 3rd Author's Name |
Junichi Haruna |
| 3rd Author's Affiliation |
Osaka University (Osaka Univ.) |
| 4th Author's Name |
Etsuko Itou |
| 4th Author's Affiliation |
Kyoto University/RIKEN (Kyoto Univ./RIKEN) |
| 5th Author's Name |
Keisuke Fujii |
| 5th Author's Affiliation |
Osaka University/RIKEN (Osaka Univ./RIKEN) |
| 6th Author's Name |
Kosuke Mitarai |
| 6th Author's Affiliation |
Osaka University (Osaka Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2023-12-17 17:15:00 |
| Presentation Time |
15 minutes |
| Registration for |
QIT |
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| Volume (vol) |
vol. |
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