Abstract
The structure of the spaces of propositions anddecoherence functions in the consistent-historiesapproach to generalized quantum theory is outlined. Itis shown that although the space of decoherencefunctions is convex, there are no pure decoherencefunctions. A definition of information-entropy isdescribed which no needs no a priori notion oftime.
Similar content being viewed by others
REFERENCES
Dowker, F., and Kent, A. (1995). Journal of Statistical Physics, 82, 3038.
Foulis, D. J., Greechie, R. J., and Rüttimann, G. T. (1992). International Journal of Theoretical Physics, 31, 789.
Gell-Mann, M., and Hartle, J. (1995). UCSB preprint, UCSBTH-95-28.
Griffiths, R. B. (1984). Journal of Statistical Physics, 36, 219.
Halliwell, J. J. (1993). Physical Review D, 48, 2739.
Hartle, J. (1993). In Proceedings of the 1992 Les Houches School, Gravitation and Quantization, and references therein.
Hartle, J. (1995). Physical Review D, 51, 1800
Isham, C. J. (1994). Journal of Mathematical Physics, 23, 2157.
Isham, C. J., and Linden, N. (1994). Journal of Mathematical Physics, 35, 5452.
Isham, C. J., and Linden, N. (1995). Journal of Mathematical Physics, 36, 5392.
Isham, C. J., and Linden, N. (1997). Physical Review A, 55, 4030.
Isham, C. J., Linden, N., and Schreckenberg, S. (1994). Journal of Mathematical Physics, 35, 6360.
Kent, A. P. A. (1996). Preprint gr-qc/9610075.
Lloyd, S., and Pagels, H. (1988). Annals of Physics, 188, 186.
Omneès, R. (1992). Reviews of Modern Physics, 64, 339.
Rudolph, O. (1996). Preprint gr-qc/9608066.
Schreckenberg, S. (1997). Journal of Mathematical Physics, 38, 759.
Wright, J. D. M. (1995). Journal of Mathematical Physics, 36, 5409.
Zurek, W. H. (1994). In Physical Origins of Time Asymmetry, J. J. Halliwell, J. Pérez-Mercader, and W. H. Zurek, eds., Cambridge University Press, Cambridge.
Rights and permissions
About this article
Cite this article
Linden, N. Information-Entropy and Purity of Decoherence Functions. International Journal of Theoretical Physics 37, 685–690 (1998). https://doi.org/10.1023/A:1026608227537
Issue Date:
DOI: https://doi.org/10.1023/A:1026608227537