Decompose pi/8 PPR into PPM with "stale magic state"

[sengthai]

Context:
#1664 implemented two methods (inject-magic-state and auto-corrected) for decomposing PPR into PPM.

There is a decomposition method in Active volume: An architecture for efficient fault-tolerant quantum computers with limited non-local connections, Figure 13(a). The pi/8 PPR uses a T magic state and turns it into a stale T state. Stale magic state is introduced where the previous measurement didn't destroy that qubit's state.

Objective:
Here, we want to add this new method, inject-stale-magic-state.

Implementation:

• Implement a new method in DecomposeNonCliffordPPR.cpp

[sengthai]

Here is Figure 13(a).