NDLI: Tight asymptotic bounds on local hypothesis testing between a pure bipartite state and the white noise state

Content Provider	IEEE Xplore Digital Library
Author	Hayashi, M. Owari, M.
Copyright Year	2015
Description	Author affiliation: Commun. Sci. Labs., NTT Corp., Kyoto, Japan (Owari, M.) \|\| Grad. Sch. of Math., Nagoya Univ., Nagoya, Japan (Hayashi, M.)
Abstract	We consider asymptotic hypothesis testing (or state discrimination with asymmetric treatment of errors) between an arbitrary fixed bipartite pure state \|ψ〉 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 oneway LOCC.
Starting Page	691
Ending Page	695
File Size	175345
Page Count	5
File Format	PDF
ISSN	21578117
e-ISBN	9781467377041
DOI	10.1109/ISIT.2015.7282543
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-06-14
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Testing Quantum entanglement Entropy Protocols White noise Information theory one-way LOCC Hypothesis testing Rényi entropy pure bipartite state two-way LOCC
Content Type	Text
Resource Type	Article

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