کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603580 1336964 2008 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On orthostochastic, unistochastic and qustochastic matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On orthostochastic, unistochastic and qustochastic matrices
چکیده انگلیسی

We introduce qustochastic matrices as the bistochastic matrices arising from quaternionic unitary matrices by replacing each entry with the square of its norm. This is the quaternionic analogue of the unistochastic matrices studied by physicists. We also introduce quaternionic Hadamard matrices and quaternionic mutually unbiased bases (MUB). In particular we show that the number of MUB in an n-dimensional quaternionic Hilbert space is at most 2n+1. The bound is attained for n=2. We also determine all quaternionic Hadamard matrices of size n⩽4.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 428, Issue 4, 1 February 2008, Pages 1178-1201