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quant-ph 1

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Estimating Fidelity to a Reference Quantum State

quant-ph · 2026-06-24 · unverdicted · novelty 7.0

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.

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  • Estimating Fidelity to a Reference Quantum State quant-ph · 2026-06-24 · unverdicted · none · ref 19

    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.