Entanglement distillation in tensor networks


Mori, T. (2022). Entanglement distillation in tensor networks. Perimeter Institute. https://pirsa.org/22100111


Mori, Takato. Entanglement distillation in tensor networks. Perimeter Institute, Oct. 12, 2022, https://pirsa.org/22100111


          @misc{ pirsa_PIRSA:22100111,
            doi = {10.48660/22100111},
            url = {https://pirsa.org/22100111},
            author = {Mori, Takato},
            keywords = {Quantum Information},
            language = {en},
            title = {Entanglement distillation in tensor networks},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {oct},
            note = {PIRSA:22100111 see, \url{https://pirsa.org}}

Takato Mori Perimeter Institute for Theoretical Physics


Tensor network provides a geometric representation of quantum many-body wave functions. Inspired by holography, we discuss a geometric realization of (one-shot) entanglement distillation for tensor networks including the multi-scale entanglement renormalization ansatz and matrix product states. We evaluate the trace distances between the ‘distilled' states and EPR states step by step and see a trend of distillation. If time permits, I will mention a possible field theoretic generalization of this geometric distillation.

Zoom link: https://pitp.zoom.us/j/98545776462?pwd=b1Z3ZENNRWVITlNOZG1GdzJaMmN1Zz09