Quantum Physics

I try to make a Quantum Fourier Transformation with N=6:

w=e^(2*pi*7/6)
so we have 6-th roots: 1,w,w^2,-1,-w,-w^2

My matrix is QFT6= 1/sqrt(6)*

(1 1 1 1 1 1 )
(1 w w^2 -1 -w -w^2)
(1 w^2 -w 1 w^2 -w )
(1 -1 1 -1 1 -1 )
(1 -w w^2 1 -w w^2 )
(1 -w^2 -w -1 w^2 w )

the vector that should be transformed is: 1/sqrt(2)* (|1> + |4>)
=1/sqrt(2)*(0 1 0 0 1 0)^T

if I multiply I get:

1/sqrt(3)*(1 0 w^2 0 -w 0)^T

there must be a mistake but I do not find it..

  1. 👍 0
  2. 👎 0
  3. 👁 209
  1. sorry.. w=e^(2*pi*i/6)
    that was not the mistake just a type error ;)

    1. 👍 0
    2. 👎 0
  2. the matrix u get
    1/sqrt(3)*(1,0,w^2,0'-w,0)is right

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. chemistry

    Suppose you take a trip to a distant universe and find that the periodic table there is derived from an arrangement of quantum numbers different from the one on Earth. The rules in that universe are: 1. principal quantum number n

  2. chemistry

    Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (n), the angular momentum quantum number (ℓ), the

  3. Chemistry

    What is the azimuthal quantum number (also called the angular-momentum quantum number), ℓ, for the orbital shown here? (the photo is a d orbital. it has 4 balls around it) Express your answer numerically as an integer.

  4. Chemistry

    The principal quantum number, n, describes the energy level of a particular orbital as a function of the distance from the center of the nucleus. Additional quantum numbers exist to quantify the other characteristics of the

  1. chemistry

    Which of the following quantum numbers describes the shape of an orbital? A) principle quantum number (n) B) magnetic quantum number (ml) C) spin quantum number (ms) D) Schrodinger quantum number (S) E) (azithmal) angular momentum

  2. Alegbra 2

    Use the rational root theorem to list all possible rational roots for the equation. X^3+2x-9=0. Use the rational root theorem to list all possible rational roots for the equation. 3X^3+9x-6=0. A polynomial function P(x) with

  3. Chemistry

    Consider an atom of Xenon. How many electrons in this atom... a) have the quantum number of l=2 b) have the quantum number of ml=0 c)have the quantum numbers n=5,ml=2 (at the same time) I think I know the answers. a) 10 b)2 c)2

  4. chemistry

    Which statement describes the principal quantum number (n)? A. The quantum number that indicates the subshell occupied by an electron B. The quantum number that indicates the energy level of the electron C. A subdivision of an

  1. algebra

    if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have? A-2 real, rational roots B-2 real, irrational roots C-1 real, irrational roots D-2 imaginary roots

  2. Science

    which of this has principal quantum number of 3 and an angular momentum quantum number of a) 3s b)3d c) 4f d) 3f

  3. Chemistry

    The principal quantum number, n, describes the energy level of a particular orbital as a function of the distance from the center of the nucleus. Additional quantum numbers exist to quantify the other characteristics of the

  4. electron structure and periodic table

    Given 4,0,2,+1/2, indicate why this set of quantum numbers could not occur I am unsure why this quantum number cannot occur, it's first quantum number value is understandable, 2nd quantum number is as well,and its spin is correct

You can view more similar questions or ask a new question.