- What is QFT6 of 1/√2(|0> + |3>?

- What is QFT6 of 1/√2(|1> + |4>?

- What is QFT6 of 1/√3(|0> + |2> + |4>?

- What is QFT6 of 1/√3(|1> + |3> + |5>?

What is w? You can use e, pi, and M in your response. Please do not subtitute 6 for M.

You need to tell us how the operator QFT6 is defined. E.g. how does QFT6 act on the basis states |n> ?

In Problems 1 to 5 we will work through example of QFTM for M = 6.

Problem 1:
What is w? You can use e, pi, and M in your response. Please do not subtitute 6 for M.

Specify the probability amplitudes. You should use w to denote ƒÖ, but please fully simplify your answer such that you only use ƒÖ and ƒÖ2 and no higher-degree terms.

Problem 2:
What is QFT6 of 1/�ã2(|0> + |3>?

Problem 3:
What is QFT6 of 1/�ã2(|1> + |4>?

Problem 4:
What is QFT6 of 1/�ã3(|0> + |2> + |4>?

Problem 5:
What is QFT6 of 1/�ã3(|1> + |3> + |5>?

In Problems 1 to 5 we will work through example of QFTM for M = 6.

Problem 1:
What is w? You can use e, pi, and M in your response. Please do not subtitute 6 for M.

Specify the probability amplitudes. You should use w to denote w, but please fully simplify your answer such that you only use w and w^2 and no higher-degree terms.

Problem 2:
What is QFT6 of 1/�ã2(|0> + |3>?

Problem 3:
What is QFT6 of 1/�ã2(|1> + |4>?

Problem 4:
What is QFT6 of 1/�ã3(|0> + |2> + |4>?

Problem 5:
What is QFT6 of 1/�ã3(|1> + |3> + |5>?

What is w? You can use e, pi, and M in your response. Please do not subtitute 6 for M.

Got this result for above question but it is graded wrong, can someone help?

e^i*pi/3

e^((2*pi*i)/M)

Thank you!

Did somebody figure out one or all of the QTF6 questions?

Problem 2:

1/sqrt(3),0,1/sqrt(3),0,1/sqrt(3),0

In this problem, we will carry out some steps of the quantum factoring algorithm for N = 15

(a) What is the period k of the periodic superposition set up by the quantum factoring algorithm if it chooses x = 2 ?
(b) Assume that we found this k using period finding algorithm. Use k to find a non-trivial square root of 1(mod 15) . Write your answer as an integer between 0 and 15.
(c) Then, the algorithm proceeds by computing gcd (x,y) for some integers x and y . List these two numbers separated by a comma.

If there are more than one correct solution, provide any one of them.

Thanks Anonymous and Gyanno!

Anyone got Problem 3, 4 or 5?

Meant thanks Helpman!

yes, anyone for problems 3-5?

Has anyone figured out problem 3, 4 or 5 please?

Problem 4:

1/sqrt2 , 0 , 0 , 1/sqrt2 , 0 , 0

(a) k=4

(b) 4
(c)3,15 or 5,15

Problems 6 and 7 please!

7.

a) 5 prep
b) 1/sqrt(k)
c) 0

thank you!!

Problems 6

β′j=e^(2*pi*i*j/M)

Anyone have finished problems 3 and 5?

Gluck and helpman, thanks so much, very usefull for me!

no probleme u welcome

3)

1/sqrt(3), 0,(w^2)/sqrt(3), 0,
(-w)/(sqrt(3), 0.

5)1/sqrt(2), 0, 0, -1/sqrt(2) , 0,0

Thanks Gluck

Thanks so much!

Please help for Q9!

please ans 9 and 10

can anyone plz tell me ans 9..i am stuck with it..and my ans is coming wrong continously

number 9 anyone!!

Problem 9 N=15

a)4 b)4 c)3.15 or 5.15 (gcd(x+1,15) or gcd(x-1,15))

Problem 9 N=21

a)6 b)8

answer 10 : option no. 2 & 4

your solution for problem 3 & 5 is not correct. please tell me correct answer

what is the solution of problem 9. please answer fast

p9: a)6 b)8 c) 7,21

what about problem 3?

dont know...anyone know then tell about problem 3 & 5

please anyone post answer of problm 3 & 5. please make it fast

p3: 1/sqrt(3);0;2*w^2/sqrt(12);0;-2*w/sqrt(12);0

p5: 1/sqrt(2);0;0;-1/sqrt(2);0;0