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Compositional Quantum Control Flow with Efficient Compilation in Qunity

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Implementation of the first Qunity compiler that lowers high-level quantum control into OpenQASM 3 and a set of concrete optimizations. Adds two control primitives, match and pmatch, that trade reversible-subroutine capability for simpler typing; implements automatic purification and qubit recycling; applies low-level gate optimizations plus IR-level transformations for direct-sum/pattern matching. Benchmarks report large reductions in qubits and gates, often approaching hand-written circuits, though some complex cases still compile to substantially larger circuits.

AI-written summary · about

  1. 0:00Qunity introduction and motivation
  2. 1:07High-level quantum programming
  3. 2:11Grover’s algorithm limits
  4. 4:18Desired quantum abstractions
  5. 5:22Grover’s iteration syntax
  6. 6:04Control flow constraints
  7. 7:31New match and pmatch features
  8. 8:34Match for subroutines
  9. 9:15Pmatch for superposition
  10. 9:57Meta-programming layer
  11. 10:40Compilation pipeline
  12. 11:45Initial compilation inefficiencies
  13. 12:28Optimization techniques
  14. 13:32Benchmark results
  15. 13:53Conclusion and future work
  16. 14:16Q&A
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