| Paper Abstract and Keywords |
| Presentation |
2024-05-28 16:20
Quantum phase transition of graph states in presence of depolarizing noise
Tatsuya Numajiri, Shion Yamashita (Chuo Univ.), Ryosuke Yoshii (Sanyo-Onoda City Univ.), Yuki Takeuchi (NTT), Shunji Tsuchiya (Chuo Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
Graph states are entangled states that are useful for several quantum information processing tasks including measurement-based quantum computation. As the size of graph states realized in experiment increases, it becomes essential to devise efficient methods for estimating the fidelity between the ideal state and an experimentally-realized actual state that suffers from some noise. However, calculation of the fidelity of large graph states is difficult due to the fact that the number of stabilizers increases exponentially. In this work, we show that the fidelity of graph states in presence of the depolarizing noise can be mapped to the partition function of a classical spin system. We calculate the fidelity of the cluster states in 1D, 2D, and 3D by evaluating the partition function of the corresponding classical spin system. We find that the fidelity of the 3D cluster state exhibits quantum phase transition towards the maximally mixed state. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
graph states / depolarizing noise / quantum phase transition / / / / / |
| Reference Info. |
IEICE Tech. Rep. |
| Paper # |
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| Download PDF |
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| Conference Information |
| Committee |
QIT |
| Conference Date |
2024-05-28 - 2024-05-30 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
AIST Tsukuba |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Quantum Information |
| Paper Information |
| Registration To |
QIT |
| Conference Code |
2024-05-QIT |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Quantum phase transition of graph states in presence of depolarizing noise |
| Sub Title (in English) |
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| Keyword(1) |
graph states |
| Keyword(2) |
depolarizing noise |
| Keyword(3) |
quantum phase transition |
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| 1st Author's Name |
Tatsuya Numajiri |
| 1st Author's Affiliation |
Chuo University (Chuo Univ.) |
| 2nd Author's Name |
Shion Yamashita |
| 2nd Author's Affiliation |
Chuo University (Chuo Univ.) |
| 3rd Author's Name |
Ryosuke Yoshii |
| 3rd Author's Affiliation |
Sanyo-Onoda City University (Sanyo-Onoda City Univ.) |
| 4th Author's Name |
Yuki Takeuchi |
| 4th Author's Affiliation |
NTT (NTT) |
| 5th Author's Name |
Shunji Tsuchiya |
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Chuo University (Chuo Univ.) |
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| Speaker |
Author-5 |
| Date Time |
2024-05-28 16:20:00 |
| Presentation Time |
20 minutes |
| Registration for |
QIT |
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| Volume (vol) |
vol. |
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