Quantum Computing.
Hadamard state we simply have U_diff U_oracle U_H |000⟩ = (2 |μ⟩⟨μ| — I) (I — 2 |011⟩⟨011|) |μ⟩ = (2 |μ⟩⟨μ| — I — (2/√2) μ⟩ ⟨011| + 2 |011⟩⟨011|) |μ⟩ = 2 |μ⟩ — |μ⟩ — (1/2) |μ⟩ + (1/√2) |011⟩ = (1/2) |μ⟩ + (1/√2) |011⟩ where we have used the fact that ⟨μ|011⟩ = 1/(2√2). Any of the amplitudes that