Universal, Deterministic, and Exact Protocol to Reverse Qubit-Unitary Operations

Explore a conference talk from TQC 2023 (Theory of Quantum Computation, Communication and Cryptography Conference) where Satoshi Yoshida presents groundbreaking research on reversing quantum operations. Learn about a novel deterministic and exact protocol for reversing unknown qubit-unitary and qubit-encoding isometry operations, featuring a semidefinite programming approach to search Choi matrices representing quantum circuits. Discover how the protocol transforms four calls of any qubit-unitary operation into its inverse operation using SU(2)×SU(2) symmetry, and understand the extension to qubit-encoding isometry operations through a specialized subroutine. Delivered at the University of Aveiro as part of the premier annual gathering of theoretical quantum information scientists, this 28-minute presentation delves into research published on arXiv, advancing the field of quantum computation and information science.