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.
Classical shadows of fermions with par- ticle number symmetry,
5 Pith papers cite this work, alongside 18 external citations. Polarity classification is still indexing.
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Derives improved mode-independent sample complexity bounds O(η log η) for fermionic classical shadows on particle-preserving operators and Slater determinant overlaps.
Classical shadow protocols using uniform sampling over compact symmetric spaces admit a unifying theory and yield slight sample-complexity improvements over standard schemes for certain observable distributions.
Correlated purification via bi-objective semidefinite programming restores N-representability to noisy 2-RDMs from fermionic shadow tomography and achieves chemical accuracy on hydrogen chain dissociation curves.
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.
citing papers explorer
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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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Particle-preserving fermionic shadows with mode-independent sample complexity
Derives improved mode-independent sample complexity bounds O(η log η) for fermionic classical shadows on particle-preserving operators and Slater determinant overlaps.
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Classical shadows over symmetric spaces
Classical shadow protocols using uniform sampling over compact symmetric spaces admit a unifying theory and yield slight sample-complexity improvements over standard schemes for certain observable distributions.
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Correlated Purification for Restoring $N$-Representability in Quantum Simulation
Correlated purification via bi-objective semidefinite programming restores N-representability to noisy 2-RDMs from fermionic shadow tomography and achieves chemical accuracy on hydrogen chain dissociation curves.
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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.