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HAMILTONIAN SIMULATION IN THE INTERACTION PICTURE
HAMILTONIAN SIMULATION IN THE INTERACTION PICTURE
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机译:交互图像中的哈密尔顿模拟
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摘要
In this disclosure, quantum algorithms are presented for simulating Hamiltonian time-evolution e−i(A+B)t in the interaction picture of quantum mechanics on a quantum computer. The interaction picture is a known analytical tool for separating dynamical effects due to trivial free-evolution A from those due to interactions B. This is especially useful when the energy-scale of the trivial component is dominant, but of little interest. Whereas state-of-art simulation algorithms scale with the energy ∥A+B∥≤∥A∥+∥B∥ of the full Hamiltonian, embodiments of the disclosed approach generally scale linearly with the sum of the Hamiltonian coefficients from the low-energy component B and poly-logarithmically with those from A.
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