Higher-order Zeno sequences achieve O(1/N^{2k}) convergence to Zeno dynamics for projective measurements and unitary kicks by mapping to higher-order Trotter formulas.
Suzuki, General theory of fractal path integrals with applications to many-body theories and statistical physics, J
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Rigorous worst- and average-case error bounds show comparable worst-case scaling for digital and analog quantum simulators under perturbative noise, with distinct average-case error cancellation and concentration bounds for Gaussian and Brownian noise.
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Higher-order Zeno sequences
Higher-order Zeno sequences achieve O(1/N^{2k}) convergence to Zeno dynamics for projective measurements and unitary kicks by mapping to higher-order Trotter formulas.
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Stability of digital and analog quantum simulations under noise
Rigorous worst- and average-case error bounds show comparable worst-case scaling for digital and analog quantum simulators under perturbative noise, with distinct average-case error cancellation and concentration bounds for Gaussian and Brownian noise.