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Compiling Conditional Quantum Gates without Using Helper Qubits

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Compiles an n‑qubit conditional into a linear number of two‑qubit conditionals without helper qubits, using 278n gates overall and empirically requiring 1/3 as many gates as the previous best helper‑free scheme (vs 822), reducing compiled circuit size by about 34% for 8+ qubits. Seven optimizers (including VQC) fail to shrink the old scheme down to these sizes, but running optimizers on this new output trims the constant to ~228 and raises Grover and quantum‑walk reliability.

AI-written summary · about

  1. 0:00Introduction
  2. 1:45Challenge of conditional gates
  3. 3:32Linear compilation scheme
  4. 7:23Generalizing to N qubits
  5. 8:05Experimental results
  6. 11:18Conclusion
  7. 11:41Q&A
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