Implementation of double Feynman gate in high dimensional quantum systems

The photonic platform has emerged as a preferred choice for quantum computing and information processing due to its low loss and high integration capabilities. In the present research, we propose a high-dimensional double Feynman gate utilizing single-photon hybrid degrees of freedom coding. This gate can manipulate two qubits simultaneously, demonstrating effective quantum state conversion. Our experimental design offers valuable insights for the investigation of high-dimensional optical quantum logic gates and advances quantum fundamental research.