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* This commit ports the core logic of `star_preroute` from Python to Rust. The changes involve creating a new Rust module for the star prerouting algorithm and updating the corresponding Python code to integrate with this new Rust functionality. Details: - New Rust file: Added `star_preroute.rs` to handle the core logic of the function `star_preroute` from the python side. This file defines the type aliases for node and block representations, which matches the current block representation of the `StarBlock` (except that the center is just a bool, as we only need to know if there is a center), and the node representation matches how the nodes used in `SabreDAG`. The `star_preroute` function processes the star blocks witihin the `SabreDAG` and finds the linear routing equivalent and then returns the result as a `SabreResult`. Thus we can use the same methods we used in Sabre, such as `_build_sabre_dag` and `_apply_sabre_result`. - Node representation: A key part of this implementation is how it takes advantage of `SabreResult` and `SabreDAG`, so the node representation is a tuple of the node id, list of qubit indices, a set of classical bit indices, and a directive flag. However, once we update the regular DAG to rust, this part may change significantly. - Updates in the SABRE rust module: To use `sabre_dag.rs` and `swap_map.rs` in `star_prerouting`, I change them to be public in `crates/accelerate/src/sabre/mod.rs`. Not sure if it makes more sense to do it this way or to move `star_prerouting` to `crates/accelerate/src/sabre/` since it mimics the methods used in Sabre to change the dag. - Python side updates: Imported the necessary modules and only modified the function `star_preroute` so that now the function performs the heavy lifting of transforming the DAG within the Rust space, leveraging `_build_sabre_dag` and `_apply_sabre_result`. - Possible issues: I was not sure how correctly handle control flow from the rust side. I know that `route.rs` handles this with `route_control_flow_block` to populate the `node_block_results` for `SabreResult`, but I was not sure how to best take advantage of this function for `star_prerouting`. Currently, the `node_block_results` for `star_prerouting` essentially always empty and just there to have`SabreResult`. There also seems to be no unit tests for `star_prerouting` that includes control flow. * lint * Added additional test and adjust the swap map result - Added the additional test of qft linearization and that the resultings circuit has `n-2` swap gates where `n` is the number of cp gates. - Changed the `node_id` in `apply_swap` of `star_preroute.rs` to use the current node id as it is more efficient, but just does not match how we do it in Sabre. This makes it so that we apply the gate first then the swap, which fixes an error we had before where we never placed a swap gate at the end of the processing a block. This only affected tests where we had multiple blocks to process. To make sure we apply the results correctly from `SabreResult`, I added a flag to `_apply_sabre_result` to treat the case of `StarPrerouting` differently so that it applies the swap after applying the node. - Added a hasp map from node to block to make processing each node in the given processing order have `n + n` time complexity instead of `n^2`. As a result, we can also remove the function `find_block_id` * Reverted changes to `_apply_sabre_result` and fixed handling on rust side - Removed `apply_swap_first` flag in `_apply_sabre_result` as it did not make sense to have it as there are no other scenario where a user may want to have control over applying the swap first. - To adjust for this and make `star_preroute` consistent with `apply_sabre_result` to apply swaps before the node id on the swap map, I adjusted `star_preroute.rs` to first process the blocks to gather the swap locations and the gate order. Once we have the full gate order, we can use the swap locations to apply the swaps while knowing the `qargs` of the node before the swap and the `node_id` of the node after the swap. - Since the above in done in the main `star_preroute` function, I removed `qubit_ampping` and `out_map` as arguments for `process_blocks`.
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