# Hi My Dears, I was working on the Quadratic Equation Solution Technique Using Quantum? [closed]

I was working on the Quadratic Equation Solution Technique Using Quantum ? But it seems to me that there might be no Quantum Benefit for it.

If anyone can kindly code this in a cleaver way , Please do kindly do it.Please do kindly read this file to understand

• Why would you need to solve such a simple problem with quantum computing? Sep 5 at 8:29

Well, let the quadratic equation be in the form $$x^2+2bx+c=0$$ You can write any quadratic equation in this form by dividing with the principle coefficient.
Therefore, what you are trying is to design a unitary map $$U$$ such that, $$U\left(\begin{array}{c} b \\ c \end{array}\right)= \left(\begin{array}{c} -b+\sqrt{b^2-c^2} \\ -b-\sqrt{b^2-c^2} \end{array}\right)$$ But you can quickly check that $$U$$ doesn't preserve the norm. Therefore, $$U$$ is not a unitary matrix- so you cannot design such $$U$$ in quantum mechanics.