Optimal synthesis into fixed XX interactions
summary
An optimal, efficient procedure and software implementation compiles any 4x4 unitary into a discrete set of XX interactions and returns exact or approximate circuits over that calibrated gateset. Using the Qiskit-integrated decomposer, adding CX^1/2 and CX^1/3 alongside standard CX reduces estimated infidelity for Haar-random two‑qubit unitaries by ≈31.4%, approaching the continuous-fraction limit of ≈36.9%. The method analyzes polyhedral regions of the Weyl chamber, produces minimal-depth decompositions under realistic duration/error models, and shows practical fidelity gains on modeled hardware.
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chapters (5)
- 0:00Start
- 0:37Types of Errors in Quantum Computer
- 1:13Incoherent Errors
- 1:31Measurement Errors
- 10:16Experimental Model
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