8 Result(s)
within
Fumio Hiai
Mathematics
Quantum Physics
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Chapter
Maximal f-Divergences
Let M be a von Neumann algebra with its standard form ( M , ℋ , ...
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Chapter
Introduction
The notion of quantum divergences has played a significant role in quantum information, which defines important quantum quantities to discriminate between states of a quantum system. A quantum system is mathem...
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Chapter
Reversibility and Quantum Divergences
Let M and N be von Neumann algebras, whose standard forms are ( M , ℋ ...
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Chapter
Preservation of Maximal f-Divergences
In this chapter we will characterize the preservation of ...
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Chapter
Rényi Divergences and Sandwiched Rényi Divergences
Let M be a general von Neumann algebra given in a standard form ( M , ℋ ...
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Chapter
Measured f-Divergences
Let f be a convex function on (0, ∞), not necessarily operator convex unless we specify that. We use the convention in (2.2). Let M be a general von Neumann algebra. A m...
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Chapter
Reversibility and Measurements
This chapter is concerned with the approximate reversibility (sufficiency) for a sequence of quantum operations α k : M k → M (or quantum channels with input M and outputs M k). Our main problem is to characteriz...
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Chapter
Standard f-Divergences
Let M be a general von Neumann algebra, and M ...
