Gauge-invariant Gaussian quantum operations on finite fermion systems are parameterized by pairs (G, A) where G generates a contraction semigroup on the single-particle Hilbert space and 0 ≤ A ≤ -G - G*.
Gross,Hypercontractivity and logarithmic Sobolev inequalities for the Clifford-Dirichlet form, Duke Math
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The structure of gauge invariant Gaussian quantum operations on finite Fermion systems
Gauge-invariant Gaussian quantum operations on finite fermion systems are parameterized by pairs (G, A) where G generates a contraction semigroup on the single-particle Hilbert space and 0 ≤ A ≤ -G - G*.