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How to express $\rho = \frac{1}{2} |\Phi_+\rangle\langle\Phi_+| +\frac{1}{2} |\Psi_-\rangle\langle\Psi_-| $ in the basis of $\hat{\sigma_y}$ eigenstates.

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How to express $\rho = \frac{1}{2} |\Phi_+\rangle\langle\Phi_+| +\frac{1}{2} |\Psi_-\rangle\langle\Psi_-| $ in the basis of $\hat{\sigma_y}$ eigenstates.

1What have you tried? – Rammus – 2021-02-17T10:13:08.417