Number-conserving fermionic shadow tomography estimates all k-body correlations in η-particle N-mode states using O_k(η^k/ε²) samples independent of N, with a matching Ω_k(η^k/ε²) lower bound for single-copy adaptive protocols.
O’Gorman, Fermionic tomography and learning (2022), arXiv:2207.14787 [quant-ph]
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A hybrid quantization scheme enables efficient switching between first- and second-quantization in quantum circuits for molecular systems, claiming up to three orders of magnitude fewer ground-state preparations for 2-RDM measurements.
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Provably Efficient Learning of Fermionic Correlations under Particle-Number Symmetry
Number-conserving fermionic shadow tomography estimates all k-body correlations in η-particle N-mode states using O_k(η^k/ε²) samples independent of N, with a matching Ω_k(η^k/ε²) lower bound for single-copy adaptive protocols.
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Optimizing Quantum Chemistry Simulations with a Hybrid Quantization Scheme
A hybrid quantization scheme enables efficient switching between first- and second-quantization in quantum circuits for molecular systems, claiming up to three orders of magnitude fewer ground-state preparations for 2-RDM measurements.