Asymptotic Improvements to Quantum Circuits via Qutrits

@article{Gokhale2019AsymptoticIT,
  title={Asymptotic Improvements to Quantum Circuits via Qutrits},
  author={Pranav Gokhale and Jonathan M. Baker and Casey Duckering and Natalie C. Brown and Kenneth R. Brown and Frederic T. Chong},
  journal={2019 ACM/IEEE 46th Annual International Symposium on Computer Architecture (ISCA)},
  year={2019},
  pages={554-566}
}
Quantum computation is traditionally expressed in terms of quantum bits, or qubits. In this work, we instead consider three-level qutrits. Past work with qutrits has demonstrated only constant factor improvements, owing to the $\log_{2}$ (3) binary-to-ternary compression factor. We present a novel technique using qutrits to achieve a logarithmic depth (runtime) decomposition of the Generalized Toffoli gate using no ancilla-a significant improvement over linear depth for the best qubit-only… 

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