Timeline for conjectures regarding a new Renyi information quantity
Current License: CC BY-SA 3.0
15 events
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| Jun 20, 2015 at 3:43 | comment | added | Mark M. Wilde | There has now been even more progress on Conjecture 2 that is useful enough for applications in quantum information theory. The idea was to make use of the Hadamard three-line theorem (in particular, Riesz-Thorin interpolation). This is detailed in the following paper: arxiv.org/abs/1505.04661 . See also arxiv.org/abs/1506.00981 for follow-up work. | |
| Dec 21, 2014 at 20:54 | comment | added | Mark M. Wilde | This is just to say that there has been what I would consider siginificant progress on Conjecture 2 since it was posted. Fawzi and Renner have proved a variation of the case when $\beta = 1$ and $\alpha = 1/2$, in the paper arxiv.org/abs/1410.0664 . My coauthors and I have also generalized the notion of Renyi conditional mutual information Renyi relative entropy differences in the paper arxiv.org/abs/1410.1443 and we generalized the methods of Fawzi and Renner in the paper arxiv.org/abs/1412.4067 . Of course, the conjectures stated here still remain open. | |
| S Sep 27, 2014 at 3:32 | history | bounty ended | CommunityBot | ||
| S Sep 27, 2014 at 3:32 | history | notice removed | CommunityBot | ||
| S Sep 19, 2014 at 2:19 | history | bounty started | Mark M. Wilde | ||
| S Sep 19, 2014 at 2:19 | history | notice added | Mark M. Wilde | Draw attention | |
| Jul 4, 2014 at 14:41 | history | edited | john mangual | CC BY-SA 3.0 |
added 46 characters in body
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| Jul 4, 2014 at 14:33 | history | edited | john mangual | CC BY-SA 3.0 |
added 218 characters in body
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| Jul 4, 2014 at 4:06 | comment | added | Todd Trimble | In response to earlier comments (now deleted), I have reformatted the post in order to better highlight the apparent questions. With that, let's please focus on the mathematics. | |
| Jul 4, 2014 at 4:01 | history | edited | Todd Trimble | CC BY-SA 3.0 |
reformatted in response to discussion in comments
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| Jul 1, 2014 at 16:28 | comment | added | Suvrit | I really like this question --- I hope I manage to get some time to think about it! | |
| Jul 1, 2014 at 6:50 | history | edited | Mark M. Wilde | CC BY-SA 3.0 |
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| Jun 26, 2014 at 4:09 | review | Close votes | |||
| Jun 27, 2014 at 2:24 | |||||
| Jun 26, 2014 at 3:32 | history | edited | Mark M. Wilde |
added to information theory and probability theory sections
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| Jun 26, 2014 at 3:21 | history | asked | Mark M. Wilde | CC BY-SA 3.0 |