Zijian Diao, Ph.D.
Associate Professor of Mathematics
Ohio University

Office: Shannon 334F. Email: diao at ohio dot edu. Phone: 740-699-2351
Mail: Ohio University, 45425 National Road, Saint Clairsville, OH 43950

Curriculum Vitae

Education

Ph.D., Mathematics, Texas A&M University, 2001
M.S., Computer Science, University of Illinois, 2003
B.S., Automation, University of Science and Technology of China, 1996

Teaching

MATH 1101: Elementary Topics in Mathematics I
MATH 1102: Elementary Topics in Mathematics II
MATH 1200: College Algebra
MATH 1300: Pre-calculus
MATH 1350: Survey of Calculus
MATH 2110: Introductory Geometry for Middle School Teachers
MATH 2301: Calculus I
MATH 2302: Calculus II
MATH 2500: Introduction to Statistics
MATH 3050: Discrete Mathematics
MATH 3070: Introduction to Number Theory
MATH 3210: Linear Algebra
MATH 3300: Calculus III

Research Interests

quantum computation and information theory, natural language processing, partial differential equations, control theory, mathematical modeling

Publications

General Mathematics:

  • Z. Diao, Can infinite repetition lead to irrationality?, Mathematics Magazine, to appear.
  • Z. Diao, An elementary proof of the irrationality of e, American Mathematical Monthly, 127(1), 84, 2020.

    Quantum Computation and Information:

  • Z. Diao, C. Huang, and K. Wang, Quantum counting: algorithm and error distribution, Acta Applicandae Mathematicae, 118(1), 2012, 147-159, DOI 10.1007/s10440-012-9682-6.
  • Z. Diao, Exactness of the Original Grover Search Algorithm, Physical Review A, 82, 2010, 044301.
  • Z. Diao, G. Chen, and P. Shiue, A realization scheme for quantum multi-object search, in Mathematics of Quantum Computation and Technology, G. Chen, L. Kauffman, and S. Lomonaco (editors), Chapman & Hall/CRC Press, 2007.
  • G. Chen, Z. Diao, J. Kim, A. Neogi, Z. Zhang, and K. Urtekin, Quantum dot computing gates, International Journal of Quantum Information, 4, 2006, 233--296.
  • Z. Diao, Quantum computation, in Handbook of Linear Algebra (Discrete Mathematics and Its Applications), L. Hogben (editor), Chapman & Hall/CRC Press, 2006, 62-1.
  • Z. Zhang, G. Chen, Z. Diao, and P. Hemmer, NMR quantum computing, in Advances in Mechanics and Mathematics, Vol. 3, D. Gao and R.W. Ogden (editors), Springer-Verlag, New York, 2006, 135--189.
  • C.M. Bowden, G. Chen, Z. Diao, and A. Klappenecker, The universality of the quantum Fourier transform in forming the basis of quantum computing algorithms, Journal of Mathematical Analysis and Applications 274/1, 2002, 69-80.
  • Z. Diao, M.S. Zubairy, and G. Chen, A quantum circuit design for Grover's algorithm, Zeitschrift fur Naturforschung A 57a, 2002, 701-708.
  • G. Chen and Z. Diao, Quantum multi-object search algorithm with the availability of partial information, Zeitschrift fur Naturforschung A 56a, 2001, 879-888.

    Natural Language Processing:

  • Y. Gao, B. Zhou, Z. Diao, J. Sorensen, and M. Picheny, MARS: a trainable multi-lingual speech-to-speech translation system, Journal of Machine Translation, 17, 2002, 185-212.
  • Y. Gao, B. Zhou, Z. Diao, J. Sorensen, H. Erdogan, R. Sarikaya, F. Liu, and M. Picheny, A trainable approach for multi-lingual speech-to-speech translation system, Human Language Technology Conference 2002, San Diego, CA.
  • B. Zhou, Y. Gao, J. Sorensen, Z. Diao, and M. Picheny, Statistical natural language generation for trainable speech-to-speech machine translation systems, International Conference of Spoken Language Processing 2002, Denver, CO.

    Control Theory:

  • Z. Diao and D. Sun, Research on some problems of independent modal space control, Proceedings of 2nd Chinese World Conference on Intelligent Control and Intelligent Automation 1997, Xi'an, P.R. China, 1961--1964.