This work lies across three areas (in the title) of investigation that are by themselves of independent interest. A problem that arose in quantum computing led us to a link that tied these areas together. This link consists of a single formal power series with a multifaced interpretation. The deeper exploration of this link yielded results as well as methods for solving some numerical problems in each of these separate areas.
Bibliographical noteFunding Information:
E-mail address: email@example.com (G. Xin). 1 The fourth named author was supported by the 973 Project, the PCSIRT of Science and Technology, and the National Science Foundation of China.
Project of the Ministry of Education, the Ministry
- Diophantine system
- Hilbert series
- Kronecker product