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nfelddav
Nov13-08, 05:20 PM
Do quantum logic gates perform measurements? (collapse the wavefunction)

For example:

If I apply a cNOT gate to a pair of cubits with wavefunction 1/\sqrt{2} |10> + 1/\sqrt{2} |00>
what would I expect as the result?

1/\sqrt{2} |11> + 1/\sqrt{2} |00>
?

or

1|11>
or
1|00>

or
are the states not entangled? This seems unlikely because it would be cloning...

borgwal
Nov13-08, 11:12 PM
Do quantum logic gates perform measurements? (collapse the wavefunction)

For example:

If I apply a cNOT gate to a pair of cubits with wavefunction 1/\sqrt{2} |10> + 1/\sqrt{2} |00>
what would I expect as the result?

1/\sqrt{2} |11> + 1/\sqrt{2} |00>
?

or

1|11>
or
1|00>

or
are the states not entangled? This seems unlikely because it would be cloning...

A logic gate is unitary, a measurement (when described as including the collapse) is not unitary. So, the result of the cnot is 1/\sqrt{2} |11> + 1/\sqrt{2} |00>. And yes, this is an entangled state.

nfelddav
Nov14-08, 10:22 AM
Thank you,
That's what seemed the most reasonable, but I wasn't sure.