Derives improved mode-independent sample complexity bounds O(η log η) for fermionic classical shadows on particle-preserving operators and Slater determinant overlaps.
Random ensembles of symplectic and unitary states are indistinguishable,
4 Pith papers cite this work, alongside 1 external citations. Polarity classification is still indexing.
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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.
Develops an invariant-based framework connecting Pauli Lie algebras to transvection-generated Clifford subgroups for quantum reachability and dynamics analysis.
Random states from symplectic and orthogonal unitaries show exponentially large strong state complexity and near-orthogonality, with average-case hardness for learning circuits from these groups.
citing papers explorer
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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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From Pauli Strings to Quantum Dynamics: A Unified Characterization
Develops an invariant-based framework connecting Pauli Lie algebras to transvection-generated Clifford subgroups for quantum reachability and dynamics analysis.
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On the Complexity of Quantum States and Circuits from the Orthogonal and Symplectic Groups
Random states from symplectic and orthogonal unitaries show exponentially large strong state complexity and near-orthogonality, with average-case hardness for learning circuits from these groups.