Abstract
The mathematical concept “lifting” which stems from “compound state” and “transition expectation” could have been applied to optical communication processes and quantum Markov chains. In the latest study of lifting for the optical communication processes it was succesful to rigorously derive the error probability and SNR for quantum amplifier processes.
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References
Accardi L.; Noncommutative Markov chains. In: internatinal School of Mathematical Physics, Camerino, 268–295, 1974.
Accardi L. and Ohya M.; Compoud channels, transition expectations and liftings, to appear in J. Multivariate Analysis.
Accardi L., Ohya M. and Suyari H.; Computation of mutual entropy in quantum Markov chains, Open Systems and Information Dynamics, 2, 337–354, 1994.
Gardiner, C.W.; Quantum Noise, Springer-Verlag, 1991.
Glauber, R.J.; Coherent and incoherent states of the radiation field, Phys. Rev. Vol.131, pp.2766–2788 (1963).
Ingarden R.S. and Urbanik K.; Quantum information thermodynamics“, Acta Phys. Polon. 21, 281–304, 1962.
Ingarden R.S., Kossakowski A. and Ohya M.; Open Systems and Information Dynamics, Kluwer, in press.
Louisell, W.H.; Quantum Statistical Properties of Radiation, John Wiley and Sons, New York, 1973.
Ohya M.; On compound state and mutual information in quantum information theory. IEEE Transactions of Information Theory IT-29, 770–774, 1983.
Ohya M.; Note on quantum probability. Letter al Nuovo Cimento 38, 402–404, 1983.
Ohya M.; Some aspects of quantum information theory and their applications to irreversible processes, Reports on Mathematical Physics, 27, 19–47, 1989.
Ohya M. and Petz D.; Quantum Entropy and its Use, Springer-Verlag, 1993.
Ohya M. and Petz D. and Watanabe N.; On capacities of quantum channels, preprint.
Ohya M. and Suyari H.; An application of lifting theory to optical communication processes, Rep. on Math. Phys., 36, 403–420, 1995.
Ohya M. and Suyari H. and Furuichi S.; An application of squeezed vacuum state to optical communication processes, preprint.
Sudarschan E.C.G.; Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams, Phys. Rev. Lett., 10, 277–279, 1963.
Walls D.F. and Milburn G.J.; Quantum Optics, Springer-Verlag, 1994.
Watanabe N.; Effciency of optical modulations for photon number states, Quantum Probability and related Topics 6, 489–498, 1991.
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Furuichi, S., Ohya, M., Suyari, H. (1997). Computation of Mutual Entropy in Quantum Amplifier Processes. In: Hirota, O., Holevo, A.S., Caves, C.M. (eds) Quantum Communication, Computing, and Measurement. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5923-8_16
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DOI: https://doi.org/10.1007/978-1-4615-5923-8_16
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