We introduce a new approach in dealing with pattern recognition issue. Recognizing a pattern is definitely not the exploration of a new discovery but rather the search for already known patterns. In reading for example the same text written in a hand writing, letters can appear in different shapes. Still, the text decoding corresponds with interpreting the large variety of hand writings shapes with fonts. Quantum mechanics also offer a kind of interpretation tool. Although, with the superposition principle it is possible to compose an infinite number of states, yet, an observer by conducting a measurement reduces the number of observed states into the predetermined basis states. Not only that any state collapses into one of the basis states, quantum mechanics also possesses a kind of correction mechanism in a sense that if the measured state is “close enough” to one of the basis states, it will collapse with high probability into this predetermined state. Thus, we can consider the collapse mechanism as a reliable way for the observer to interpret reality into his frame of concepts. Both interpretation ideas, pattern recognition and quantum measurement are integrated in this paper to formulate a quantum pattern recognition measuring procedure.
Cite this paper
Y. Roth, "Single Measurement of Figures," Journal of Modern Physics, Vol. 4 No. 6, 2013, pp. 812-817. doi: 10.4236/jmp.2013.46111.
 K. Fukunaga, “Introduction to Statistical Pattern Recognition,” Academic Press, New York, 1972.
 R. Schützhold, Physical Review A, Vol. 67, 2003, Article ID: 062311. doi:10.1103/PhysRevA.67.062311
 M. Sasaki, A. Carlini and R. Jozsa, Physical Review A, Vol. 64, 2001, Article ID: 022317.
 M. Sasaki and A. Carlini, Physical Review A, Vol. 66, 2002, Article ID: 022303.
 R. Feyman, Foundations of Physics, Vol. 16, 1986, pp. 507-531. doi:10.1007/BF01886518
 A. Y. Vlasov, Quantum Computations and Images Recognition, lanl.gov/quant-ph/9703010, 1997.
 D. Deutsch, Proceedings of the Royal Society A, Vol. 400, 1985, pp. 97-117. doi:10.1098/rspa.1985.0070
 R. Jozsa and N. Linden, Proceedings of the Royal Society A, Vol. 459, 2003, pp. 2011-2032.
 P. W. Shor, SIAM Journal on Computing, Vol. 26, 1997, p. 1484. doi:10.1137/S0097539795293172
 M. A. Nielsen and I. L. Chuang, “Quantum Computation and Quantum Information,” Cambridge University Press, Cambridge, 2000.
 L. Grover, Proceedings of 28th Annual ACM Symposium on the Theory of Computing, ACM Press, New York, 1996, p. 212.
 D. Deutsch, Proceedings of the Royal Society A, Vol. 425, 1989, p. 73.
 C. A. Trugenberger, quant-ph 0210176v2, 2006.
 C. A. Trugenberger, Physical Review Letters, Vol. 87, 2001, Article ID: 067801.
 C. A. Trugenberger, Physical Review Letters, Vol. 89, 2002, Article ID: 0277903.
 R. Schutzhold and W. G Unruh, Physical Review A, Vol. 67, 2006, Article ID: 062311.
 Y. Roth, “A Re-Coherence Process That Generates a Coherent from an Incoherent States Was Shown by Using Recursive Maps Method,” Journal of Modern Physics, in Press.