| Paper Abstract and Keywords |
| Presentation |
2021-12-01 14:00
Divide-and-conquer verification method for noisy intermediate-scale quantum computation
Yuki Takeuchi, Yasuhiro Takahashi (NTT), Tomoyuki Morimae (Kyoto Univ.), Seiichiro Tani (NTT) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
Several noisy intermediate-scale quantum computations can be regarded as logarithmic-depth quantum circuits on a sparse quantum computing chip, where two-qubit gates can be directly applied on only some pairs of qubits. In this talk, we propose a method to efficiently verify such noisy intermediate-scale quantum computation. To this end, we first characterize small-scale quantum operations with respect to the diamond norm. Then by using these characterized quantum operations, we estimate the fidelity $langlepsi_t|hat{rho}_{rm out}|psi_trangle$ between an actual $n$-qubit output state $hat{rho}_{rm out}$ obtained from the noisy intermediate-scale quantum computation and the ideal output state (i.e., the target state) $|psi_trangle$. Although the direct fidelity estimation method requires $O(2^n)$ copies of $hat{rho}_{rm out}$ on average, our method requires only $O(D^32^{12D})$ copies even in the worst case, where $D$ is the denseness of $|psi_trangle$. For logarithmic-depth quantum circuits on a sparse chip, $D$ is at most $O(log{n})$, and thus $O(D^32^{12D})$ is a polynomial in $n$. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
NISQ computation / divide-and-conquer method / verification of quantum computation / / / / / |
| Reference Info. |
IEICE Tech. Rep. |
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| Conference Information |
| Committee |
QIT |
| Conference Date |
2021-11-30 - 2021-12-01 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Online |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Quantum Information |
| Paper Information |
| Registration To |
QIT |
| Conference Code |
2021-11-QIT |
| Language |
English (Japanese title is available) |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Divide-and-conquer verification method for noisy intermediate-scale quantum computation |
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NISQ computation |
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divide-and-conquer method |
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verification of quantum computation |
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| 1st Author's Name |
Yuki Takeuchi |
| 1st Author's Affiliation |
Nippon Telegraph and Telephone Corporation (NTT) |
| 2nd Author's Name |
Yasuhiro Takahashi |
| 2nd Author's Affiliation |
Nippon Telegraph and Telephone Corporation (NTT) |
| 3rd Author's Name |
Tomoyuki Morimae |
| 3rd Author's Affiliation |
Kyoto University (Kyoto Univ.) |
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Seiichiro Tani |
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Nippon Telegraph and Telephone Corporation (NTT) |
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| Date Time |
2021-12-01 14:00:00 |
| Presentation Time |
20 minutes |
| Registration for |
QIT |
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