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.
Third moments of qudit Clifford orbits and 3-designs based on magic orbits, 2024
2 Pith papers cite this work. Polarity classification is still indexing.
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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.
- Invariant Measures and Weak-Magic-Injection Asymptotics in Random Monitored Quantum Circuits