The density matrix of a pure quantum state ly) is defined as p = 1)land the density matrix of the collection of pure states ) with the corresponding probabilities p, is defined as p = Σ. Ρ|Ψ;}ψι|. (a) Find a density matrix of 4) =(100) + |11)) and show that this density matrix corresponds a pure state (by using the purity). (b) Find a density matrix composed of quantum states ₁) = (100) + |11)), 2)=(101) +110)) with corresponding probabilities P₁ = P₂ = 1/2. Show that the density matrix is in a mixed state.

The density matrix of a pure quantum state ly) is defined as p = 1)land the density matrix of the collection of pure states ) with the corresponding probabilities p, is defined as p = Σ. Ρ|Ψ;}ψι|. (a) Find a density matrix of 4) =(100) + |11)) and show that this density matrix corresponds a pure state (by using the purity). (b) Find a density matrix composed of quantum states ₁) = (100) + |11)), 2)=(101) +110)) with corresponding probabilities P₁ = P₂ = 1/2. Show that the density matrix is in a mixed state.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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