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Entangled Three-Particle State Spin and Uncertainty
Entangled Three-Particle State Spin and Uncertainty

Entangled Three-Particle State Spin and Uncertainty

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Question:

Consider the three-particle state:

               |+ − − > −| − −+ >

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

b) Compute the expectation value of the z-component Sz of the spin angular momentum S = /2 σ.

c) Compute the uncertainty in Sz .

d) Similarly, compute the uncertainty in Sx .

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

 

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