Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture

Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture
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DOI:
10.1007/978-3-642-55925-9_13
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通讯作者:
E. Lieb
E. Lieb
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作者:
E. Lieb

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导出了希尔伯特空间上的线性算子到实数的几个凸映射,一个例子是 AH-Trace exp (L+ In A)。其中一些可应用于物理学,特别是维格纳-柳纳斯-戴森猜想(已在此处得到证明)以及量子力学熵的强次可加性(将在别处得到证明)。
Several convex mappings of linear operators on a Hilbert space into the real numbers are derived, an example being AH-Trace exp (L+ In A). Some of these have applications to physics, specifically to the Wigner-Yanase-Dyson conjecture which is proved here and to the strong subadditivity of quantum mechanical entropy which will be proved elsewhere.