By mapping Fock occupations to Schur labels via the Jordan-Schwinger homomorphism and applying an inverse quantum Schur transform, the paper constructs a first-quantized state-preparation protocol with poly(L,N,log d,log ε^{-1}) non-Clifford gates (best variant).
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Universal initial state preparation for first quantized quantum simulations
By mapping Fock occupations to Schur labels via the Jordan-Schwinger homomorphism and applying an inverse quantum Schur transform, the paper constructs a first-quantized state-preparation protocol with poly(L,N,log d,log ε^{-1}) non-Clifford gates (best variant).