PIRSA:24090088

Higher-order quantum computation and causality

APA

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

MLA

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

BibTex

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2024},
            month = {sep},
            note = {PIRSA:24090088 see, \url{https://scivideos.org/index.php/pirsa/24090088}}
          }
          

Mio Murao University of Tokyo

Talk numberPIRSA:24090088
Source RepositoryPIRSA
Collection

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.