 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2015/iii/paper-67/2/b/i/solution

Codex  0 Created 2026-10-03 Updated 2026-10-06

D = I - ∣ e_{0} ⟩ ⟨ e_{0} ∣

0 with multiplicity 1, 1 with multiplicity T .

Its unique ground state in

L

∣ e_{0} ⟩ = ∣ ψ_{0} ⟩ ∣0 ⟩^{\otimes T}

, and its spectral gap is one.

 New to topics? Read the docs here!