Fermi University Physics

PHYSICS · Multi-part · Fermi University Physics · Quantum Information & Technology · Quantum states, measurement and entanglement · Quantum states, measurement and entanglement

Quantum Information and Technology, Ch Mixed states, generalised measurement and telling states apart

Problem

For ∣ψ⟩=13(∣00⟩+2∣01⟩+2∣10⟩)|\psi\rangle = \dfrac{1}{3}\big(|00\rangle+2|01\rangle+2|10\rangle\big): ((a)) Write the coefficient matrix CC. ((b)) Find the singular values of CC, the Schmidt coefficients and the Schmidt rank. ((c)) Check the squared Schmidt coefficients against the eigenvalues of ρA=CC†\rho_A=CC^\dagger. ((d)) Is the state entangled?

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