A quantum algorithm for solving systems of nonlinear algebraic equations
Qian, Peng, Huang, Wei-Cong, Gui‐Lu Long · arXiv (Cornell University) · 2019
We propose a quantum algorithm to solve systems of nonlinear algebraic equations. In the ideal case the complexity of the algorithm is linear in the number of variables $n$, which means our algorithm's complexity is less than $O(n^{3})$ of the corresponding classical ones when the set of equations has many variables and not so high orders. Different with most popular way of representing the results by state vector, we get the results in computation basis which is readable directly.