No cloning theorm

  • Thread starter desmal
  • Start date
  • #1
23
0

Main Question or Discussion Point

Hi everyone,


I have couple questions about the no cloning theorm. It states that a quantum state can't be precisely copied.

1-Can you explain to me in very simple words why this theorm violat the uncertainty principle?

2-Also when I read the prove of the theorm, I couldn't understand some of the bra-ket manipultations used to prove this theorm like, when a state is copied we can represent that like:-
G--> |G> |G> two ket product!!
bra and ket can be maltiplied since in matrices one is a coulumn and the other is a row and moreover I know how to represent them as an integeral. But ket with ket product make no sense for me both as an integral or in matrix representation.
 

Answers and Replies

  • #2
DrClaude
Mentor
7,049
3,199
1-Can you explain to me in very simple words why this theorm violat the uncertainty principle?
Good question. I don't see why it would violate the uncertainty principle, since nothing forbids you to simply prepare a series of quantum systems in the same state, on which you could perform any series of measurements.

See also the discussion here:
https://www.physicsforums.com/threads/no-cloning-and-uncertainty-principle.748469/
2-Also when I read the prove of the theorm, I couldn't understand some of the bra-ket manipultations used to prove this theorm like, when a state is copied we can represent that like:-
G--> |G> |G> two ket product!!
bra and ket can be maltiplied since in matrices one is a coulumn and the other is a row and moreover I know how to represent them as an integeral. But ket with ket product make no sense for me both as an integral or in matrix representation.
It is the direct product ##|G\rangle \otimes |G\rangle##, where each ket corresponds to a different particle.
https://theory.physics.manchester.ac.uk/~judith/AQMI/PHYS30201su9.xhtml
 

Related Threads for: No cloning theorm

  • Last Post
2
Replies
32
Views
2K
  • Last Post
Replies
7
Views
1K
  • Last Post
Replies
2
Views
838
Replies
9
Views
701
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
4
Views
636
Replies
2
Views
2K
Replies
1
Views
415
Top