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1. The Hamiltonian of the qubit in the standard basis is given by
H = X⁰⁰ - X¹1 - ¡Xº¹ + ix¹⁰ (in units of eV).
Find the possible values of the qubit energy E, and E₁ (in eV). Give
the answer in decimals with accuracy to 3 significant figures.

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