| Paper Abstract and Keywords |
| Presentation |
2023-05-30 14:15
Circuit optimization of quantum phase estimation with Pauli product set
Yuki Koizumi (Tokyo Univ.), Yasunari Suzuki, Yuuki Tokunaga (NTT CD Labs) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
Quantum phase estimation is a quantum algorithm that can extract Hamiltonian spectra, and it is suggested as one of the practical approaches that can demonstrate quantum computational advantage with an early fault-tolerant quantum computation~(FTQC). Recent works use a technique called qubitizaition to construct its quantum circuits since it requires fewer resources than the prior methods. texttt{SELECT} operations are one of the dominant circuit elements in quantum circuits for qubitization-based quantum phase estimation. Therefore, the circuit optimization for them is essential to demonstrate computational advantage with smaller FTQCs. In this paper, we propose a general framework to optimize texttt{SELECT} operations by utilizing the structure of Pauli-product sets in Hamiltonian terms. Our framework enables us to reduce the number and depth of high-cost operations, T gates, for texttt{SELECT} operations. To benchmark the performance of our framework, we applied the proposed method to the texttt{SELECT} operations for several important Hamiltonian models. As a result, the number of T gates for the Schwinger model is reduced quadratically, and the depth of T gates for the Hubbard model is reduced by 2.5 times by consuming an acceptable number of ancillary qubits. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Fault-Tolerant Quantum Computation / Quantum Phase Estimation / Qubitization / SELECT operations / / / / |
| Reference Info. |
IEICE Tech. Rep. |
| Paper # |
|
| Date of Issue |
|
| ISSN |
|
| Download PDF |
|
| Conference Information |
| Committee |
QIT |
| Conference Date |
2023-05-29 - 2023-05-30 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Katsura Campus, Kyoto University |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Quantum Information |
| Paper Information |
| Registration To |
QIT |
| Conference Code |
2023-05-QIT |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Circuit optimization of quantum phase estimation with Pauli product set |
| Sub Title (in English) |
|
| Keyword(1) |
Fault-Tolerant Quantum Computation |
| Keyword(2) |
Quantum Phase Estimation |
| Keyword(3) |
Qubitization |
| Keyword(4) |
SELECT operations |
| Keyword(5) |
|
| Keyword(6) |
|
| Keyword(7) |
|
| Keyword(8) |
|
| 1st Author's Name |
Yuki Koizumi |
| 1st Author's Affiliation |
the University of Tokyo (Tokyo Univ.) |
| 2nd Author's Name |
Yasunari Suzuki |
| 2nd Author's Affiliation |
NTT Computer and Data Science Laboratories (NTT CD Labs) |
| 3rd Author's Name |
Yuuki Tokunaga |
| 3rd Author's Affiliation |
NTT Computer and Data Science Laboratories (NTT CD Labs) |
| 4th Author's Name |
|
| 4th Author's Affiliation |
() |
| 5th Author's Name |
|
| 5th Author's Affiliation |
() |
| 6th Author's Name |
|
| 6th Author's Affiliation |
() |
| 7th Author's Name |
|
| 7th Author's Affiliation |
() |
| 8th Author's Name |
|
| 8th Author's Affiliation |
() |
| 9th Author's Name |
|
| 9th Author's Affiliation |
() |
| 10th Author's Name |
|
| 10th Author's Affiliation |
() |
| 11th Author's Name |
|
| 11th Author's Affiliation |
() |
| 12th Author's Name |
|
| 12th Author's Affiliation |
() |
| 13th Author's Name |
|
| 13th Author's Affiliation |
() |
| 14th Author's Name |
|
| 14th Author's Affiliation |
() |
| 15th Author's Name |
|
| 15th Author's Affiliation |
() |
| 16th Author's Name |
|
| 16th Author's Affiliation |
() |
| 17th Author's Name |
|
| 17th Author's Affiliation |
() |
| 18th Author's Name |
|
| 18th Author's Affiliation |
() |
| 19th Author's Name |
|
| 19th Author's Affiliation |
() |
| 20th Author's Name |
|
| 20th Author's Affiliation |
() |
| 21st Author's Name |
|
| 21st Author's Affiliation |
() |
| 22nd Author's Name |
|
| 22nd Author's Affiliation |
() |
| 23rd Author's Name |
|
| 23rd Author's Affiliation |
() |
| 24th Author's Name |
|
| 24th Author's Affiliation |
() |
| 25th Author's Name |
|
| 25th Author's Affiliation |
() |
| 26th Author's Name |
/ / |
| 26th Author's Affiliation |
()
() |
| 27th Author's Name |
/ / |
| 27th Author's Affiliation |
()
() |
| 28th Author's Name |
/ / |
| 28th Author's Affiliation |
()
() |
| 29th Author's Name |
/ / |
| 29th Author's Affiliation |
()
() |
| 30th Author's Name |
/ / |
| 30th Author's Affiliation |
()
() |
| 31st Author's Name |
/ / |
| 31st Author's Affiliation |
()
() |
| 32nd Author's Name |
/ / |
| 32nd Author's Affiliation |
()
() |
| 33rd Author's Name |
/ / |
| 33rd Author's Affiliation |
()
() |
| 34th Author's Name |
/ / |
| 34th Author's Affiliation |
()
() |
| 35th Author's Name |
/ / |
| 35th Author's Affiliation |
()
() |
| 36th Author's Name |
/ / |
| 36th Author's Affiliation |
()
() |
| Speaker |
Author-1 |
| Date Time |
2023-05-30 14:15:00 |
| Presentation Time |
15 minutes |
| Registration for |
QIT |
| Paper # |
|
| Volume (vol) |
vol. |
| Number (no) |
|
| Page |
|
| #Pages |
|
| Date of Issue |
|