Write a variable as a function of an equation

  • Thread starter Thread starter Mark Pluto
  • Start date Start date
  • Tags Tags
    Function Variable
Click For Summary

Homework Help Overview

The original poster presents two equations related to quantum mechanics, specifically involving qubits represented as |0> and |1> in terms of |b> and |d>. The context suggests a focus on linear equations within the framework of quantum states.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Some participants note that the problem involves a system of linear equations and suggest that knowledge from quantum mechanics may be applicable. Others express uncertainty about how to approach solving the equations without prior coursework in quantum mechanics.

Discussion Status

The discussion includes attempts to clarify the nature of the equations and their relation to quantum mechanics. Some participants provide general guidance about the topic, while others seek further understanding without reaching a consensus on a specific method to solve the equations.

Contextual Notes

There is a mention of the original poster's lack of background in quantum mechanics, which may affect their ability to engage with the problem fully. Additionally, the repeated emphasis on the linear nature of the equations suggests a foundational aspect of the discussion.

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

The Attempt at a Solution

 
Physics news on Phys.org
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.
 
mfb said:
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
 
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.
 
Mark Pluto said:

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 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.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
22
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
11
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 31 ·
2
Replies
31
Views
5K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K