| Paper Abstract and Keywords |
| Presentation |
2018-06-04 17:30
Bipartite discrimination of independently prepared quantum states
-- A counterexample of a parallel repetition conjecture --
Seiseki Akibue, Go Kato (NTT) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
For distinguishing quantum states sampled from a fixed ensemble, the gap in bipartite and single-party distinguishability can be interpreted as a {¥it nonlocality of the ensemble.} In this paper, we consider bipartite state discrimination in a composite system consisting of $N$ subsystems, where each subsystem is shared between two parties and the state of each subsystem is randomly sampled from a particular ensemble comprising the Bell states. We show that the success probability of perfectly identifying the state converges to $1$ as $N¥rightarrow¥infty$ if the entropy of the probability distribution associated with the ensemble is less than $1$, even if the success probability is less than $1$ for any finite $N$. In other words, the nonlocality of the $N$-{¥it fold} ensemble asymptotically disappears if the probability distribution associated with each ensemble is concentrated. Furthermore, we show that the disappearance of the nonlocality can be regarded as a remarkable counterexample of a fundamental open question in theoretical computer science, called a {¥it parallel repetition conjecture} of {¥it interactive games} with two classically communicating players. Measurements for the discrimination task include a projective measurement of one party represented by stabilizer states, which enable the other party to perfectly distinguish states that are sampled with high probability. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
quantum game / quantum state discrimination / quantum error correction / quantum state merging / / / / |
| Reference Info. |
IEICE Tech. Rep. |
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| Conference Information |
| Committee |
QIT |
| Conference Date |
2018-06-04 - 2018-06-05 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
ICCH Ran |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Quantum Information |
| Paper Information |
| Registration To |
QIT |
| Conference Code |
2018-06-QIT |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Bipartite discrimination of independently prepared quantum states |
| Sub Title (in English) |
A counterexample of a parallel repetition conjecture |
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quantum game |
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quantum state discrimination |
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quantum error correction |
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quantum state merging |
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| 1st Author's Name |
Seiseki Akibue |
| 1st Author's Affiliation |
Nippon Telegraph and Telephone Corporation (NTT) |
| 2nd Author's Name |
Go Kato |
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Nippon Telegraph and Telephone Corporation (NTT) |
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| Date Time |
2018-06-04 17:30:00 |
| Presentation Time |
20 minutes |
| Registration for |
QIT |
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