Efficient Quantum Circuits for Port-Based Teleportation

Learn about groundbreaking developments in port-based teleportation (PBT) through this conference talk presented at TQC 2024. Explore the first efficient implementation of PBT since its introduction by Ishizaka and Hiroshima in 2008, utilizing advanced methods from representation theory. Discover two novel quantum circuit constructions for probabilistic and deterministic PBT protocols: a standard encoding achieving O(n) time and O(n log(n)) space complexity, and a Yamanouchi encoding achieving O(n^2) time and O(log(n)) space complexity. Understand how these implementations work with n ports of arbitrary local dimension, both for EPR and optimized resource states, and learn about efficient circuits for preparing optimal resource states. Delivered by researchers Dmitry Grinko, Adam Burchardt, and Maris Ozols at the 19th Conference on the Theory of Quantum Computation, Communication and Cryptography, this presentation bridges a significant gap in quantum teleportation research and implementation.