Constructs an explicit unitary Q using the quantum Schur transform to coherently map fixed-N first-quantized states to occupation-number form with poly(N,d,log(1/ε)) gate complexity.
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Efficient Quantum Circuits for Coherent Conversion Between General First- and Second-Quantized Many-Body Representations
Constructs an explicit unitary Q using the quantum Schur transform to coherently map fixed-N first-quantized states to occupation-number form with poly(N,d,log(1/ε)) gate complexity.