New theoretical results prove Trotter error depends on diagonal BCH elements in the Hamiltonian eigenbasis, paired with O(n) compact BCH representations and software that enable accurate error estimates up to 100+ qubits.
Suzuki, General theory of fractal path integrals with applications to many-body theories and statistical physics, J
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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.
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.
citing papers explorer
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Practical Estimation of Trotter Error for Hamiltonian Simulation
New theoretical results prove Trotter error depends on diagonal BCH elements in the Hamiltonian eigenbasis, paired with O(n) compact BCH representations and software that enable accurate error estimates up to 100+ qubits.
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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.