Quantum Information course of the University of Oxford Hilary 2023

This section is about the version of the course offerece on Hilary term 2023 (January).

Quantum Information course of the University of Oxford Hilary 2023 problem sheet

C^{2}

∣ ∣ ψ ⟩ ∣ = ∣ ∣ ∣ \frac{1 + i}{2} ∣ ∣ ∣^{2} + ∣ ∣ ∣ \frac{1 - i}{2} ∣ ∣ ∣^{2} = ∣ ∣ ∣ \frac{1}{2} + i \frac{1}{2} ∣ ∣ ∣^{2} + ∣ ∣ ∣ \frac{1}{2} + i \frac{- i}{2} ∣ ∣ ∣^{2} = (\frac{1}{2})^{2} + (\frac{1}{2})^{2}^{2} + (\frac{1}{2})^{2} + (\frac{- 1}{2})^{2}^{2} = (\frac{1}{2})^{2} + (\frac{1}{2})^{2} + (\frac{1}{2})^{2} + (\frac{- 1}{2})^{2} = \frac{1}{4} + \frac{1}{4} + \frac{1}{4} + \frac{1}{4} + = \frac{1 + 1 + 1 + 1}{4} = 1

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