Statevector drawer - state_to_latex's max_size parameter cause unintended rounding

[Slope86]

Environment

• Qiskit Terra version: 0.22.3
• Python version: 3.10.8
• Operating system: Windows 10 22H2

What is happening?

When I try to render the following state -

sv = Statevector(
    [
        0.35355339 + 0.0j,
        0.35355339 + 0.0j,
        0.35355339 + 0.0j,
        0.35355339 + 0.0j,
        0.0 + 0.0j,
        0.0 + 0.0j,
        0.0 + 0.0j,
        0.0 + 0.0j,
        0.0 + 0.0j,
        0.0 + 0.0j,
        0.0 + 0.0j,
        0.0 + 0.0j,
        0.0 - 0.35355339j,
        0.0 + 0.35355339j,
        0.0 + 0.35355339j,
        0.0 - 0.35355339j,
    ],
    dims=(2, 2, 2, 2)
)

using sv.draw('latex', max_size=5)
I get the following latext output with the coefficient round to 5 decimal point.

The arg max_size=5 should only affect "Maximum number of non-zero terms in the expression", but also affects "Number of decimal places to round to".

How can we reproduce the issue?

Code to reproduce the issue -

sv = Statevector(
    [
        0.35355339 + 0.0j,
        0.35355339 + 0.0j,
        0.35355339 + 0.0j,
        0.35355339 + 0.0j,
        0.0 + 0.0j,
        0.0 + 0.0j,
        0.0 + 0.0j,
        0.0 + 0.0j,
        0.0 + 0.0j,
        0.0 + 0.0j,
        0.0 + 0.0j,
        0.0 + 0.0j,
        0.0 - 0.35355339j,
        0.0 + 0.35355339j,
        0.0 + 0.35355339j,
        0.0 - 0.35355339j,
    ],
    dims=(2, 2, 2, 2)
)
sv.draw("latex", max_size=5)

What should happen?

Expected output should be like this :

Any suggestions?

In state_visualization.py, inside function _state_to_latex_ket, at line 1330、1336、1339.
When calling np.around() and numbers_to_latex_terms(), shouldn't use max_size as an argument to the parameter decimals.
https://github.com/Qiskit/qiskit-terra/blob/dd7f9390cf076f9545fa6086de486f2c06764ea5/qiskit/visualization/state_visualization.py#L1330-L1339