The values of the Bessel functions for are given to you in the list bessel_1, in that order. Use the fact that to find the approximation error of the Jacobi-Anger expansion for . To do this, complete the approximation_error function, which returns

bessel_1 = [0.7651976865579666, 0.44005058574493355, 0.1149034849319005, 0.019563353982668414]

def approximation_error(theta):
"""
Returns the absolute error in the Jacobi-Anger expansion

Args:
- theta (float): The angle argument of the expansion.
Returns:
- (float): The absolute error.
"""

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###YOUR CODE HERE###
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return


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Learning Objectives:

  • Define the Jacobi-Anger Expansion.
  • Leverage the Jacobi-Anger expansion and Qubitization to simulate Hamiltonian evolution.