Pure-state informationally complete and “really” complete measurements
نویسندگان
چکیده
منابع مشابه
Pure state 'really' informationally complete with rank-1 POVM
What is the minimal number of elements in a rank-1 positiveoperator-valued measure (POVM) which can uniquely determine any pure state in d-dimensional Hilbert space Hd? The known result is that the number is no less than 3d− 2. We show that this lower bound is not tight except for d = 2 or 4. Then we give an upper bound of 4d−3. For d = 2, many rank-1 POVMs with four elements can determine any ...
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There has been much interest in so-called SIC-POVMs: rank 1 symmetric in-formationally complete positive operator valued measures. In this paper we discuss the larger class of POVMs which are symmetric and informationally complete but not necessarily rank 1. This class of POVMs is of some independent interest. In particular it includes a POVM which is closely related to the discrete Wigner func...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2004
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.70.052107