[MEGA] Research on the DAQC paradigm

[jpmoutinho]

The DAQC paradigm refers to computation relying on single-qubit gates + the evolution of a global entangling Hamiltonian. In this mega-issue, we track things related to the method originally proposed in the DAQC paper, which is implemented in Qadence.

There is significant follow-up research work from that paper and similar methods, and a possible direction would be to continue developing their implementation in Qadence. Currently, it is not a priority, and so we list here the previous issues:

• [Feature, DA] Implement DAQC transform for arbitrary target and resource Hamiltonians #205
• [Feature, DA] Compile certain digital rotations directly in the emulated analog interface #192
• [Feature, DA, Proto] Transpilation passes with digital-analog transforms #179
• [Feature, DA] Introduce bDAQC transformation #154