Exact Chebyshev QFF does not extend to the α-perturbed n-cycle for α ≠ 0 due to eigenvalues outside [-1,1], but a truncated-Chebyshev LCU approximation achieves degree O(|α|t + √(t log(t/η))) that recovers the reversible √t scaling only when |α| = O(t^{-1/2}).
Quantum eigenvalue processing
2 Pith papers cite this work. Polarity classification is still indexing.
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quant-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Using multi-product formulas in LCHS produces commutator-sensitive error bounds and better quadrature scaling than norm-based analyses for dissipative dynamics.
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Quantum Fast-Forwarding Beyond Reversibility: The $\alpha$-Perturbed $n$-Cycle
Exact Chebyshev QFF does not extend to the α-perturbed n-cycle for α ≠ 0 due to eigenvalues outside [-1,1], but a truncated-Chebyshev LCU approximation achieves degree O(|α|t + √(t log(t/η))) that recovers the reversible √t scaling only when |α| = O(t^{-1/2}).
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Linear Combination of Hamiltonian Simulation with Commutator Scaling
Using multi-product formulas in LCHS produces commutator-sensitive error bounds and better quadrature scaling than norm-based analyses for dissipative dynamics.