Quantum logic gate measurement?

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SUMMARY

Quantum logic gates, such as the cNOT gate, do not perform measurements that collapse the wavefunction. When applying a cNOT gate to a pair of qubits with the wavefunction 1/√2 |10⟩ + 1/√2 |00⟩, the resulting state is 1/√2 |11⟩ + 1/√2 |00⟩, which is indeed an entangled state. The distinction between unitary operations of logic gates and non-unitary measurements is crucial in quantum mechanics.

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  • Understanding of quantum mechanics principles
  • Familiarity with qubits and their representation
  • Knowledge of quantum logic gates, specifically cNOT gates
  • Concept of wavefunction collapse in quantum measurements
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  • Study the properties of quantum entanglement and its implications
  • Learn about the mathematical representation of quantum states
  • Explore the differences between unitary and non-unitary operations in quantum computing
  • Investigate the role of measurement in quantum mechanics and its effects on wavefunctions
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Quantum physicists, quantum computing researchers, and students studying quantum mechanics who seek to deepen their understanding of quantum logic gates and measurement theory.

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.
 

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