相关论文: SIC-POVMs exist in all dimensions
We address the problem of constructing positive operator-valued measures (POVMs) in finite dimension $n$ consisting of $n^2$ operators of rank one which have an inner product close to uniform. This is motivated by the related question of…
This paper has been withdrawn by the author due to it contains some errors. A corrected treatment is presented in further publications of the author.
This paper has been withdrawn by the author due to a crucial sign error in Proposition 3.1.
In this paper, we show that in Hilbert space of any finite dimension N, there are N^2 unit vectors which constitute Symmetric Informationally Complete Positive Operator Valued Measure (SIC-POVM).
This paper has been withdrawn by the author, due an error in claim 1.
This paper has been withdrawn by the author. The most updated version can be accessed by arXiv:1806.07290.
This paper has been withdrawn by the author.
This paper has been withdrawn due to disagreement of suggested results and methods between authors.
The paper is withdrawn because the analysis appeared to be incomplete.
This paper has been withdrawn by the author due to essential mistakes in some previous versions.
This paper has been withdrawn.
This paper has been withdrawn by the author due to errors.
This paper has been withdrawn by the author(s) and included into the new version of "An extension theorem for separately holomorphic functions with singularities", math.CV/0104089.
This paper has been withdrawn.
This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1
This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).
This paper has been withdrawn by the author. Indeed, the identity Jac(F\_j,Psi)=Psi^s in part 2.2. has to be proved.
This paper has been withdrawn by the author, due to errors in Groebner basis calculations in the cases of five and six dimensional groups.
The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.
This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2