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Fix the order of the Suzuki-Trotter formula in the documentation (#8171) 

My previous commit https://github.com/Qiskit/qiskit-terra/pull/8167 corrects the documentation for the Lie-Trotter formula. According to my understanding of [1], the Suzuki-Trotter formula is second order accurate. This is now corrected in this commit.

[1] https://arxiv.org/pdf/math-ph/0506007.pdf

Co-authored-by: mergify[bot] <37929162+mergify[bot]@users.noreply.github.com>
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Pythonix 2022-06-13 16:58:09 +00:00 committed by GitHub
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qiskit/synthesis/evolution/suzuki_trotter.py
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@ -40,12 +40,15 @@ class SuzukiTrotter(ProductFormula):
.. math::
e^{-it(XX + ZZ)} = e^{-it/2 ZZ}e^{-it XX}e^{-it/2 ZZ} + \mathcal{O}(t^2).
e^{-it(XX + ZZ)} = e^{-it/2 ZZ}e^{-it XX}e^{-it/2 ZZ} + \mathcal{O}(t^3).
References:
[1]: D. Berry, G. Ahokas, R. Cleve and B. Sanders,
"Efficient quantum algorithms for simulating sparse Hamiltonians" (2006).
`arXiv:quant-ph/0508139 <https://arxiv.org/abs/quant-ph/0508139>`_
[2]: N. Hatano and M. Suzuki,
"Finding Exponential Product Formulas of Higher Orders" (2005).
`arXiv:math-ph/0506007 <https://arxiv.org/pdf/math-ph/0506007.pdf>`_
"""
def __init__(