PIRSA:24090088 Conference Quantum Foundations Quantum Information

DOI10.48660/24090088

Conference/School: Causalworlds

Murao, M. (2024). Higher-order quantum computation and causality. Perimeter Institute. https://pirsa.org/24090088

Murao, Mio. Higher-order quantum computation and causality. Perimeter Institute, Sep. 20, 2024, https://pirsa.org/24090088 

@misc{ pirsa_PIRSA:24090088,
  doi = {10.48660/24090088},
  url = {https://pirsa.org/24090088},
  author = {Murao, Mio},
  keywords = {Quantum Foundations, Quantum Information},
  language = {en},
  title = {Higher-order quantum computation and causality},
  publisher = {Perimeter Institute},
  year = {2024},
  month = {sep},
  note = {PIRSA:24090088 see, \url{https://pirsa.org}}
}

Abstract

Supermaps are higher-order transformations that take maps as input. We explore quantum algorithms that implement supermaps of unitary operations using multiple calls to a black-box unitary operation. We investigate how the causal structure and spacetime symmetry of these unitary black-boxes affect their performance in implementing higher-order quantum operations. We analyze several tasks, inversion, complex conjugation, and transposition of black-box unitaries.

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