Write a variable as a function of an equation

[Mark Pluto]

Homework Statement

I have two equations and I want to write them in terms of |0> and |1> as a function of |b> and |d>
note: |i> is a kent or a qubit

Homework Equations

|b> = cosα |0> + e^iβ sinα |1>
|b> = sinα |0> + e^-iβ cosα |1>

The Attempt at a Solution

 

[mfb]

This is a linear equation system, if you attend a quantum mechanics course you should know (or be able to figure out) how to solve them.

 

[Mark Pluto]

This is a linear equation system, if you attend a quantum mechanics course you should know (or be able to figure out) how to solve them.

I didn't take the quantum mechanics course but I would like to know how can I solve this

 

[mfb]

It looks like quantum mechanics. Anyway, systems of linear equations are way more basic than trigonometry and complex numbers as well.
Wikipedia has an introduction.

 

[Ray Vickson]

Homework Statement

I have two equations and I want to write them in terms of |0> and |1> as a function of |b> and |d>
note: |i> is a kent or a qubit

Homework Equations

|b> = cosα |0> + e^iβ sinα |1>
|b> = sinα |0> + e^-iβ cosα |1>

The Attempt at a Solution

You have 2 linear equations in 2 unknowns, so you learned how to solve that type of problem back in early high-school.