Fermionic Gaussian pure state amplitudes in arbitrary local Pauli bases are given by an explicit Pfaffian formula plus a recursion for different qubit counts.
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Explicit Pfaffian Formula for Amplitudes of Fermionic Gaussian Pure States in Arbitrary Pauli Bases
Fermionic Gaussian pure state amplitudes in arbitrary local Pauli bases are given by an explicit Pfaffian formula plus a recursion for different qubit counts.