相关论文: SIC-POVMs exist in all dimensions
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This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.
This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.
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In this paper we examine a generalization of the symmetric informationally complete POVMs. SIC-POVMs are the optimal measurements for full quantum tomography, but if some parameters of the density matrix are known, then the optimal SIC POVM…
This paper has been withdrawn by the author due to an error
This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.
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This paper has been withdrawn by the author due to a crucial error in the definition of homomorphism.
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We show that in prime dimensions not equal to three, each group covariant symmetric informationally complete positive operator valued measure (SIC~POVM) is covariant with respect to a unique Heisenberg--Weyl (HW) group. Moreover, the…
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Symmetric informationally complete positive operator valued measures (SIC-POVMs) are studied within the framework of the probability representation of quantum mechanics. A SIC-POVM is shown to be a special case of the probability…
This paper has been withdrawn by the author because overcame by arXiv:0910.4694
This paper has been withdrawn by the author.