%0 Journal Article %T On maximum number of decoherent histories %A Lajos Diosi %J Physics %D 1994 %I arXiv %R 10.1016/0375-9601(95)00440-E %X It is shown that $N^2$ is the upper limit for the number of histories in a decohering family of $N$-state quantum system. Simple criterion is found for a family of $N^2$ fine grained decohering histories of Gell-Mann and Hartle to be identical with a family of Griffiths' consistent quantum trajectories. %U http://arxiv.org/abs/gr-qc/9409028v3