 Helstrom measurement for the zero and plus states

ID: helstrom-measurement-for-the-zero-and-plus-states

Codex  0 Created 2026-09-24 Updated 2026-09-24

For equiprobable states

∣0 ⟩

and

∣ + ⟩ = \frac{∣0 ⟩ + ∣1 ⟩}{2},

the orthonormal measurement basis at angle

β = - π /8

to the computational basis attains

P_{s} = \frac{1}{2} (1 + \frac{1}{2}) .

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