Tight Asymptotic Bounds on Local Hypothesis Testing Between a Pure Bipartite State and the White Noise State
書誌事項
- 公開日
- 2017-06
- 資源種別
- journal article
- 権利情報
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- https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
- DOI
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- 10.1109/tit.2017.2687932
- 10.1109/isit.2015.7282543
- 10.48550/arxiv.1409.3897
- 公開者
- Institute of Electrical and Electronics Engineers (IEEE)
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説明
We consider asymptotic hypothesis testing (or state discrimination with asymmetric treatment of errors) between an arbitrary fixed bipartite pure state $\ketΨ$ and the completely mixed state under one-way LOCC (local operations and classical communications), two-way LOCC, and separable POVMs. As a result, we derive the Hoeffding bounds under two-way LOCC POVMs and separable POVMs. Further, we derive a Stein's lemma type of optimal error exponents under one-way LOCC, two-way LOCC, and separable POVMs up to the third order, which clarifies the difference between one-way and two-way LOCC POVM. Our study gives a very rare example in which the optimal performance under the infinite-round two-way LOCC is also equal to that under separable operations and can be attained with two-round communication, but not attained with the one-way LOCC.
We added detail descriptions for several proofs. Also, to explain the fundamental properties of the lattice and non-lattice cases, we newly added Lemma 37 in Appendix C
収録刊行物
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- IEEE Transactions on Information Theory
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IEEE Transactions on Information Theory 63 (6), 4008-4036, 2017-06
Institute of Electrical and Electronics Engineers (IEEE)
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詳細情報 詳細情報について
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- CRID
- 1360004235409812608
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- ISSN
- 15579654
- 00189448
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- 資料種別
- journal article
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- データソース種別
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- Crossref
- KAKEN
- OpenAIRE