Quantum Circuit Optimization by Graph Coloring

Key Points

• Circuit depth minimization effectively reduces to a vertex coloring problem on a constructed graph, enhancing optimization methods.
• Using numerical experiments, this approach validated optimal configurations for various quantum circuits, notably finite field multiplication.
• Optimization algorithms are applicable through any existing vertex coloring solver, streamlining circuit design workflows.
• The findings suggest potential improvements in quantum computing processes, though practical applications may vary based on circuit complexity.

Abstract