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Relating to finding possible upper bounds for the probability of error for discriminating between two quantum states, it is well-known that \begin{align*} \mathrm{tr}(A+B) - \mathrm{tr}|A-B|\leq 2\, \mathrm{tr}\big(f(A)g(B)\big) \end{align*} holds fo
Externí odkaz:
http://arxiv.org/abs/2302.07818
Autor:
Aggarwal, Anchal, Singh, Mandeep
Let $A,\;B$ be the positive semidefinite matrices. A matrix version of the famous Powers-St{\o}rmer's inequality $$2Tr(A^\alpha B^{1-\alpha})\geq Tr(A+B-|A-B|),\;\;\;0\leq\alpha\leq 1,$$ was proven by Audenaert et. al. We establish a comparison of ei
Externí odkaz:
http://arxiv.org/abs/1606.03913
A generalization of Powers-St$\o$rmer's inequality for operator monotone functions on $[0, +\infty)$ and for positive linear functional on general $C^*$-algebras will be proved. It also will be shown that the generalized Powers-St$\o$rmer inequality
Externí odkaz:
http://arxiv.org/abs/1204.6665
Autor:
Kian, Mohsen, Moslehian, Mohammad Sal
Regarding finding possible upper bounds for the probability of error for discriminating between two quantum states, it is known that $$ \mathrm{tr}(A+B) - \mathrm{tr}|A-B|\leq 2\, \mathrm{tr}\big(f(A)g(B)\big) $$ holds for every positive matrix monot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=arXiv_______::d08f6e9c1cf20264c879044a029bdf7b
http://arxiv.org/abs/2302.07818
http://arxiv.org/abs/2302.07818
Autor:
OSAKA, HIROYUKI
Publikováno v:
数理解析研究所講究録. 1839:17-24
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::f63d73e1a573bde7578eea7521b8540b
http://hdl.handle.net/2433/194950
http://hdl.handle.net/2433/194950
Autor:
Borg JM; Aston University School of Informatics and Digital Engineering. j.borg@aston.ac.uk., Buskell A; Georgia Institute of Technology School of Public Policy., Kapitany R; Keele University School of Psychology University of Oxford School of Anthropology and Museum Ethnography., Powers ST; Edinburgh Napier University School of Computing., Reindl E; Durham University Department of Anthropology University of St. Andrews School of Psychology and Neuroscience., Tennie C; University of Tübingen Department of Early Prehistory and Quaternary Ecology.
Publikováno v:
Artificial life [Artif Life] 2024 Aug 01; Vol. 30 (3), pp. 417-438.
Autor:
Mitch Stephens
Publikováno v:
San Francisco Chronicle (10/1/2007 to present); 6/15/2021, pC3, 0p
Autor:
Powers ST; Edinburgh Napier University, Edinburgh EH10 5DT, UK., Perret C; University of Exeter, Penryn TR10 9FE, UK., Currie TE; University of Exeter, Penryn TR10 9FE, UK.
Publikováno v:
Philosophical transactions of the Royal Society of London. Series B, Biological sciences [Philos Trans R Soc Lond B Biol Sci] 2023 Aug 14; Vol. 378 (1883), pp. 20220303. Date of Electronic Publication: 2023 Jun 26.
Autor:
Andras, PE, Esterle, L, Guckert, M, Han, TA, Lewis, PR, Milanovic, K, Payne, T, Perret, C, Pitt, J, Powers, ST, Urquhart, N, Wells, S
Intelligent machines have reached capabilities that go beyond a level that a human being can fully comprehend without sufficiently detailed understanding of the underlying mechanisms. The choice of moves in the game Go (generated by Deep Mind?s Alpha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=core_ac_uk__::b6dd31eb1b447c5b7fa3e7486ca1e59b
https://eprints.keele.ac.uk/5377/1/IEEE_Trust_Article_R1B.pdf
https://eprints.keele.ac.uk/5377/1/IEEE_Trust_Article_R1B.pdf