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

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    $\begingroup$ Why would you need to solve such a simple problem with quantum computing? $\endgroup$
    – Adam Glos
    Sep 5, 2021 at 8:29

1 Answer 1


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.

However, that's not a quantum problem. We use a quantum computer to solve problems that are very hard to solve using a classical computer.

  • $\begingroup$ What you have to say about this Matrix : about the final matrix in my Solution that i did derived, Also my Dear Brother, Please do kindly read the entire paper before commenting, Also as i told you earlier there might not be any Quantum benefit out of it, any way.. thanks my Dear Brother.. $\endgroup$ Sep 5, 2021 at 15:46
  • $\begingroup$ Please do kindly tell me, please do kindly look at my papers in the link, I am requesting you, cause I believe there are some basic miss-understanding in your concept. $\endgroup$ Sep 5, 2021 at 19:18

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