Abstract
Necessary and sufficient conditions of an optimum pair of signals for given decision operators are given. These conditions show what kind of signals are desired for the output of the unitary transformation in a received quantum state control system by unitary process in order to achieve the Helstrom’s bound. We show pictures of optimum signals which the conditions imply. Then we consider as examples two of received quantum state control systems by unitary process.
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References
C. W. Helstrom, Quantum detection and estimation theory, (Academic Press, New York, 1976).
A. S. Holevo, Probabilistic and statistical aspect of quantum theory, (North-Holland, Amsterdam, 1982).
O. Hirota, et. al., Trans. IEICE of Japan, E70, 801, 1987.
O. Hirota, in LNP-378 (Springer-Verlag, Berlin, 1991), pp.223–230.
H. P. Yuen, Phys. Rev. A13, 2226, 1976.
O. Hirota and S. Ikehara, Trans. IECE of Japan, E61 273, 1978.
S. Bun, et. al., Trans. IEICE of Japan, E73, 1647, 1990.
H. Koyano, et. al., in LNP-378 (Springer-Verlag, Berlin, 1991), pp.249–258.
T. Sasaki and O. Hirota, Trans. IEICE of JapanE75-B 514, 1992.
T. S. Usuda and O. Hirota, Quantum communications and measurement, edited by V. P. Belavkin, O. Hirota, and R. L. Hudson (Plenum Press, 1995), pp.419–427.
M. Sasaki, T. S. Usuda, and O. Hirota, Phys. Rev. A51, 1702, 1995.
M. Sasaki and O. Hirota, Phys. Lett. A210, 21, 1996.
M. Sasaki, T. S. Usuda, O. Hirota, and A. S. Holevo, Phys. Rev. A53, 1273, 1996.
M. Sasaki and O. Hirota, Phys. Rev. A54, 2728, 1996.
S. J. Dolinar, Quarterly Progress Report No.111, Research Laboratory of Electronics, M.I.T., 115, 1973.
O. Hirota, Annals of New York Academy of Sciences, 755, 863, 1995.
R. Momose, M. Osaki, M. Ban, M. Sasaki, and O. Hirota, Proc. of FICSSUR, 307, 1996.
R. Momose and O. Hirota, Tech. Group Rep. in IEICE of Japan, 95, No.457, pp.31–36, 1996.
O. Hirota, Phys. Lett. A155, 343, 1991.
R. S. Kennedy, Quarterly Progress Report No.110, Research Laboratory of Electronics, M.I.T., 142, 1973.
R. S. Kennedy, Quarterly Progress Report No.113, Research Laboratory of Electronics, M.I.T., 129, 1974.
M. Osaki and O. Hirota,Quantum communications and measurement, edited by V. P. Belavkin, O. Hirota, and R. L. Hudson (Plenum Press, 1995), pp.401–409.
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Sasaki-Usuda, T., Hata, M. (1997). On the Realization of Received Quantum State Control by Unitary Transformation. 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_14
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DOI: https://doi.org/10.1007/978-1-4615-5923-8_14
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