Bayes-Cost Reduction Algorithm in Quantum Hypothesis Testing

IEEE Transactions on Information Theory

Volumn 28, Issue 2, 1982, Pages 359-366

  Helstrom, Carl W ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DECISION THEORY AND ANALYSIS;

EID: 0020100489     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/TIT.1982.1056470     Document Type: Article

References (17)

1. A. S. Holevo, “Statistical decision theory for quantum systems,” J. Multivar. Anal., vol. 3, pp. 337–394, Dec. 1973.
2. H. P. Yuen, R. S. Kennedy, and M. Lax, “Optimum testing of multiple hypotheses in quantum detection theory,” IEEE Trans. Inform. Theory, vol. IT-21, pp. 125–134, Mar. 1975.
3. C. W. Helstrom, Quantum Detection and Estimation Theory. New York: Academic, 1976.
4. R. S. Kennedy, “On the optimum receiver for the M-ary pure state problem,” MIT Res. Lab. Electron. Quart. Prog. Rep. 110, pp. 142–146, July 15, 1973.
5. C. W. Helstrom, “Some quantum-mechanical aspects of optical communications,” in Optical Space Communication, R. S. Kennedy and S. Karp, Eds. NASA Scientific and Technical Division SP-217, 1969, pp. 111–120.
6. V. P. Belavkin, “Optimum distinction of non-orthogonal quantum signals,” Radio Eng. Elec. Phys., vol. 20, pp. 39–47, June 1975.
7. A. G. Vantsyan and R. L. Stratonovich, “Methods of distinguishing close quantum signals,” Radio Eng. Elec. Phys., vol. 21, pp. 86–92, Jan. 1976.
8. A. G. Vantsyan, “Some methods for the resolution of quantum signals in the presence of Gaussian interference,” Radio Eng. Elec. Phys., vol. 22, pp. 134–237, Jan. 1977.
9. R. L. Stratonovich, “Optimum resolution of non-orthogonal quantum signals in the presence of small Gaussian interference,” Radio Eng. Elec. Phys., vol. 21, pp. 71–78, Mar. 1976.
10. R. L. Stratonovich, “An approximate method for the derivation of optimum resolution of quantum signals in the presence of small interference,” Radio Eng. Elec. Phys., vol. 21, pp. 61–67, Apr. 1976.
11. R. L. Stratonovich, “Optimum discrimination between three symmetrical, nonorthogonal quantum signals in the presence of small interference,” Radio Eng. Elec. Phys., vol. 21, pp. 124–128, May 1976.
12. A. S. Holevo, “Testing statistical hypotheses in quantum theory,” to be published in Probability and Mathematical Statistics.
13. A. S. Holevo, “On asymptotically optimal hypothesis testing in quantum statistics,” Theory Prob. Appl., vol. 23, pp. 411–415, June 1978.
14. P. J. Curlander, “Quantum limitations on communication systems,” Ph.D. thesis, Massachusetts Inst, of Technol., Cambridge, June 1979.
15. B. Mollow and R. J. Glauber, “Quantum theory of parametric amplification,” Phys. Rev., vol. 160, pp. 1076–1096, Aug. 1967.
16. K. E. Cahill and R. J. Glauber, “Ordered operator expansions,” Phys. Rev., vol. 177, pp. 1857–1881, Jan. 25, 1969, (see Appendix B).
17. R. Bellman, An Introduction to Matrix Analysis. New York: McGraw-Hill, 1960.