Proves Θ(d²) bases are necessary and sufficient for worst-case optimal shadow estimation while 2-designs achieve average-case optimality with universal constant bounds.
Classical shad- ows with arbitrary group representations,
4 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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quant-ph 4years
2026 4verdicts
UNVERDICTED 4representative citing papers
Derives improved mode-independent sample complexity bounds O(η log η) for fermionic classical shadows on particle-preserving operators and Slater determinant overlaps.
Derives dimension-independent finite-sample operator-norm bounds for selected covariance estimation in classical shadows via matrix Bernstein and perturbation theory.
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.
citing papers explorer
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Optimal Shadow Estimation with Minimal Measurement Settings
Proves Θ(d²) bases are necessary and sufficient for worst-case optimal shadow estimation while 2-designs achieve average-case optimality with universal constant bounds.
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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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Finite-Sample Selected Covariance Spectra in Classical Shadows
Derives dimension-independent finite-sample operator-norm bounds for selected covariance estimation in classical shadows via matrix Bernstein and perturbation theory.
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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.