- What is QFT6 of 1/√2(|0> + |3>?

Question

- 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>?

Answer 1

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

Answer 2

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

Answer 3

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>?

Answer 4

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>?

Answer 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

Answer 6

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

Answer 7

Thank you!

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

Answer 8

Problem 2:
1/sqrt(3),0,1/sqrt(3),0,1/sqrt(3),0

Answer 9

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.

Answer 10

Thanks Anonymous and Gyanno!

Anyone got Problem 3, 4 or 5?

Answer 11

Meant thanks Helpman!

Answer 12

yes, anyone for problems 3-5?

Answer 13

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

Answer 14

Problem 4:

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

Answer 15

(a) k=4
(b) 4
(c)3,15 or 5,15

Answer 16

Problems 6 and 7 please!

Answer 17

7.
a) 5 prep
b) 1/sqrt(k)
c) 0

Answer 18

thank you!!

Answer 19

Problems 6

β′j=e^(2*pi*i*j/M)

Answer 20

Anyone have finished problems 3 and 5?

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

Answer 21

no probleme u welcome

Answer 22

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

Answer 23

Thanks Gluck

Answer 24

Thanks so much!

Answer 25

Please help for Q9!

Answer 26

please ans 9 and 10

Answer 27

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

Answer 28

number 9 anyone!!

Answer 29

Problem 9 N=15
a)4 b)4 c)3.15 or 5.15 (gcd(x+1,15) or gcd(x-1,15))

Answer 30

Problem 9 N=21
a)6 b)8

Answer 31

answer 10 : option no. 2 & 4

Answer 32

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

Answer 33

what is the solution of problem 9. please answer fast

Answer 34

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

what about problem 3?

Answer 35

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

Answer 36

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

Answer 37

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