Port synth_permutation_basic to Rust

[mtreinish]

No description provided.

[jpacold]

Hello -- I've been looking for open issues to work on and am potentially interested in this one.

It looks as if synth_permutation_basic just decomposes a permutation into transpositions by calling _get_ordered_swap, and then builds a circuit from the list of swaps.

Adding a Rust implementation of _get_ordered_swap to the accelerate crate is pretty straightforward. Looking at the top-level issue #12212, I'm not sure there is much more that can be done with this issue for now since the actual circuit has to be built in Python.

Is that an accurate assessment, and if so is it okay to work on this?

[hunterkemeny]

@jpacold Sounds good, you can go ahead!

[ShellyGarion]

can we close this issue since #12327 is closed ?

[jpacold]

It looks like #12605 closes this.

[ShellyGarion]

closed by #12605