A Lower Bound on the C-Numerical Radius of Nilpotent Matrices Appearing in Coherent Spectroscopy
نویسندگان
چکیده
We provide a lower bound for the efficiency of polarization or coherence transfer between quantized states under unitary transformations. Mathematically the problem is the determination of the C-numerical radius of A for certain nilpotent matrices C and A. The presented lower bound is conjectured to be exact as it coincides with numerical data provided in [U. Helmke et al., J. Global Opt. 23 (2002), 283-308].
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عنوان ژورنال:
- SIAM J. Matrix Analysis Applications
دوره 27 شماره
صفحات -
تاریخ انتشار 2005