Calculate the density matrix of system \(A\) for the two-qubit state above (in exercise 6), when the trace is taken over system \(B\), as a function of \(a\). Find the maximum and minimum probabilities that system \(A\) is in state \(|1angle\), independently of system \(B\).

Data From Exercise 6:-

Consider the two-qubit state

where \(C\) is a normalization constant. Find \(C\) as a function of \(a\). When is the state entangled (at what values of \(a\) ), and when is it not entangled?

Transcribed Image Text:

|o) C[|)]1) + 10) |1) + a|1) 0)+10) 10)], (4.69)