| Paper Abstract and Keywords |
| Presentation |
2019-05-20 11:40
Necessary and Sufficient Condition of Asymptotic Decoupling for Quantum Dynamics
Yuuya Yoshida, Masahito Hayashi (Nagoya Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
We address dynamics when a quantum channel is applied to an initial quantum state many times. More precisely, we discuss how the n-th iterated channel behaves asymptotically as n tends to infinity. Asymptotic decoupling is an asymptotic property on a bipartite quantum system, which means that the n-th iterated channel breaks the correlation between two quantum systems as n tends to infinity. A goal of this paper is to clarify a necessary and sufficient condition that a tensor product quantum channel is asymptotically decoupling. For this goal, we introduce another asymptotic property, namely, mixing. Mixing asserts that the n-th iterated channel converges to a constant channel as n tends to infinity. By using this term, it turns out that asymptotic decoupling is equivalent to `local' mixing. Moreover, not only for a tensor product quantum channel but also for a general quantum channel, we give a necessary and sufficient condition of asymptotic decoupling. This paper is the advanced version of our previous study [QIT38, 4--5 June 2018, Hiroshima, pp. 118--123], with respect to asymptotic decoupling. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
asymptotic decoupling / mixing / $C_0$ semigroup / / / / / |
| 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 |
English (Japanese title is available) |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Necessary and Sufficient Condition of Asymptotic Decoupling for Quantum Dynamics |
| Sub Title (in English) |
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asymptotic decoupling |
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mixing |
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$C_0$ semigroup |
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| 1st Author's Name |
Yuuya Yoshida |
| 1st Author's Affiliation |
Nagoya University (Nagoya Univ.) |
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Masahito Hayashi |
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Nagoya University (Nagoya Univ.) |
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| Date Time |
2019-05-20 11:40:00 |
| Presentation Time |
20 minutes |
| Registration for |
QIT |
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