Quantum logic gate measurement?

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Quantum logic gates do not perform measurements as they are unitary operations, while measurement involves wavefunction collapse, which is non-unitary. Applying a cNOT gate to the wavefunction 1/\sqrt{2} |10> + 1/\sqrt{2} |00> results in 1/\sqrt{2} |11> + 1/\sqrt{2} |00>, indicating that the states are indeed entangled. The discussion clarifies that the output does not lead to cloning of states, which would violate quantum principles. Overall, the cNOT gate maintains the entangled nature of the qubits without collapsing the wavefunction. Understanding these distinctions is crucial in quantum computing.
nfelddav
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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...
 
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nfelddav said:
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.
 
Thank you,
That's what seemed the most reasonable, but I wasn't sure.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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