Physics, asked by wwwritujain7283, 1 year ago

Entanglement fidelity for a single qubit?

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Answered by rockyak4745
0
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Answered by smartysurya773389
3
So I have been working out problems from the book "Quantum Computing Explained" by David McMahon. On page 166 he defines "Entanglement Fidelity" and says the following: Consider a density operator for a single qubit that is diagonal with respect to the computational basis: ρ=f|0⟩⟨0|+(1−f)|1⟩⟨1|ρ=f|0⟩⟨0|+(1−f)|1⟩⟨1|. The parameter ff is known as the entanglement fidelity. For example, if ρ=(3/4)|0⟩⟨0|+(1/4)|1⟩⟨1|ρ=(3/4)|0⟩⟨0|+(1/4)|1⟩⟨1| ,then the entanglement fidelity is 3/4. I have a few questions regarding this:

A) What does entanglement fidelity mean? (especially in the case of a single qubit)

B) Since the trace of a density matrix should be 1, I understand that the parameter ff can range between 0 to 1. How should I interpret the various values of the parameter ff
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