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Oxidize TwoQubitBasisDecomposer
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This commit is the second part of migrating the default 2q unitary
synthesis method to leverage parallel rust as described in Qiskit#8774. The
Eventual goal is to be able to run unitary synthesis in parallel for all
the unitary matrices in a single call from the `UnitarySynthesis` pass.
The TwoQubitBasisDecomposer class is one of the default decomposers used
by the unitary synthesis plugin. After this we can build an interface
that will run the decomposition in parallel for a given decomposer.

This commit re-implements the TwoQubitBasisDecomposer class in rust. It
keeps the same algorithm from the previous python version but implements
it in rust. This builds off of Qiskit#11946 and for the operation of the
decomposer class the TwoQubitWeylDecomposition class is used solely
through rust.

This commit depends on Qiskit#11946 and will need to be rebased after Qiskit#11946
is merged.

Fixes Qiskit#12004
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mtreinish committed Mar 14, 2024
1 parent 05f1966 commit 18d2849
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