**Question: **

**Consider the three-particle state:**

** |+ − − > −| − −+ >**

**a) Is this an entangled state? Justify your answer.**

**b) Compute the expectation value of the z-component S _{z} of the spin angular momentum S = ℏ/2 σ.**

**c) Compute the uncertainty in S _{z} .**

**d) Similarly, compute the uncertainty in S _{x} .**

**e) Show that your results from parts (c) and (d) are consistent with the uncertainty principle.**

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