Entanglement distillation in tensor networks
APA
Mori, T. (2022). Entanglement distillation in tensor networks. Perimeter Institute. https://pirsa.org/22100111
MLA
Mori, Takato. Entanglement distillation in tensor networks. Perimeter Institute, Oct. 12, 2022, https://pirsa.org/22100111
BibTex
@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}} }
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.
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