کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9498370 1631201 2005 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Optimal commuting approximation of Hermitian operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Optimal commuting approximation of Hermitian operators
چکیده انگلیسی
We formulate and provide a solution to an approximation problem that occurs in various settings: Finding an optimal additive decomposition of a given Hermitian Hilbert-Schmidt operator, in a term commuting with a second Hermitian compact operator and a term as small as possible in the trace norm sense. In the finite-dimensional case, we show how to interpret our result through a Sylvester equation. An application to a quantum information problem and an interpretation in quantum probability are also sketched.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 400, 1 May 2005, Pages 319-325
نویسندگان
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