Sample complexity for fidelity estimation to a rank-r reference state is O(r²/ε²) with lower bound Ω(r/ε²); O(r²/ε⁴) when unknown state also has rank ≤r.
Confidence polytopes in quantum state tomography
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A thresholding bandit algorithm on data from a single-parameter entanglement-witness family enables conclusive batch entanglement detection for two-qubit states in class F, with MAB-derived sample-complexity bounds.
Proposes a context-aware unit testing framework for quantum subroutines modeled as parametrized quantum channels, using probabilistic assertions and demonstrated on GHZ preparation and Shor's algorithm subroutines.
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Batch Entanglement Detection in Parameterized Qubit States using Classical Bandit Algorithms
A thresholding bandit algorithm on data from a single-parameter entanglement-witness family enables conclusive batch entanglement detection for two-qubit states in class F, with MAB-derived sample-complexity bounds.