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quant-ph2017
Generalization of Quantum Fourier Transformation
Changpeng Shao
Quantum Fourier transformation is important in many quantum algorithms. In this paper, we generalize quantum Fourier transformation over the Abelian group from two d…
physics.gen-ph2017
Quantum speedup to some types of polynomial equations
Changpeng Shao
In this paper, we consider three types of polynomial equations in quantum computer: linear divisibility equation, which belongs to a special type of binary-quadratic Diophantine eq…
math.RA2017★ 1 cited
Basis-free Solution to General Linear Quaternionic Equation
Changpeng Shao, Hongbo Li, Lei Huang
A linear quaternionic equation in one quaternionic variable q is of the form , where the are given quaternionic coefficients.…