Use JIT compiler for `StatevectorBackend`

[king-p3nguin]

Before submitting, please check the following:

• Make sure you have tests for the new code and that test passes (run tox)
• format added code by black -l 120 <filename>
• If applicable, add a line to the [unreleased] part of CHANGELOG.md, following keep-a-changelog.

Then, please fill in below:

Context (if applicable):

Description of the change: Use JIT for faster simulation using StatevectorBackend.

Related issue:

also see that checks (github actions) pass. If lint check keeps failing, try installing black==22.8.0 as behavior seems to vary across versions.

[king-p3nguin]

Currently, I am using numba, but I am going to change it to jax because jax seems to support more functions in numpy. (functions like np.tensordot and np.moveaxis is not supported in numba) I will make the installation of jax optional.

[king-p3nguin]

It seems like jaxlib does not support Python 3.8 on Windows, so some tests involving Jax are skipped. Also, since there are many optional dependent libraries, I added a new requirements-dev.txt file.