More on a trace inequality in quantum information theory
نویسنده
چکیده
It is known that for a completely positive and trace preserving (cptp) map N , Tr exp{log σ + N †[logN (ρ) − logN (σ)]} 6 Tr ρ when ρ, σ, N (ρ), and N (σ) are strictly positive. We state and prove a relevant version of this inequality for the hitherto unaddressed case of these matrices being nonnegative. Our treatment also provides an alternate proof for the strictly positive case.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1512.00226 شماره
صفحات -
تاریخ انتشار 2015