A factorization of the parent Hamiltonian into noncommutative first-order operators enables a walk-free QSVT algorithm with quadratic gap improvement for preparing purified Gibbs states under exact KMS detailed balance.
2.ω ∅= 1 2n∣I⟩⟩⟨⟨I∣=∣σ1/2⟩⟩⟨⟨σ1/2∣is the unique stationary state of the auxiliary dynamicsetLU in the Bell-diagonal subspaceS Bell
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Accelerating quantum Gibbs sampling without quantum walks
A factorization of the parent Hamiltonian into noncommutative first-order operators enables a walk-free QSVT algorithm with quadratic gap improvement for preparing purified Gibbs states under exact KMS detailed balance.