单色
发表于 2025-3-25 06:29:44
Standard ,-Divergences,Let . be a general von Neumann algebra, and . be the positive cone of the predual .. consisting of normal positive linear functionals on .. Basics of von Neumann algebras are given in Sect. A.1.
侵蚀
发表于 2025-3-25 08:00:32
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谄媚于性
发表于 2025-3-25 13:36:02
Maximal ,-Divergences,Let . be a von Neumann algebra with its standard form . as before. Throughout this chapter, we assume that . is an operator convex function on (0, .).
模范
发表于 2025-3-25 18:43:08
Measured ,-Divergences,Let . be a convex function on (0, .), not necessarily operator convex unless we specify that. We use the convention in (.). Let . be a general von Neumann algebra. A . . in . is given by . for some ., where .. ∈ .. for 1 ≤ . ≤ . and .. The measurement . is identified with a unital positive map ., determined by .(..) := .., 1 ≤ . ≤ ..
GLARE
发表于 2025-3-25 20:54:57
Reversibility and Quantum Divergences,Let . and . be von Neumann algebras, whose standard forms are . and ., respectively. For convenience, we first summarize basic properties of positive linear maps between von Neumann algebras, although those have already been used in previous chapters.
同音
发表于 2025-3-26 02:39:51
Preservation of Maximal ,-Divergences,In this chapter we will characterize the preservation of . under a unital normal positive map ., i.e., the equality case in the monotonicity inequality ..
impale
发表于 2025-3-26 08:22:34
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FER
发表于 2025-3-26 11:58:24
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Spartan
发表于 2025-3-26 15:48:55
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渗入
发表于 2025-3-26 17:28:10
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