“…A spatially structured light beam with a cylindrically twisted phase front introduces quantized orbital angular momentum (OAM), L z = ℏ , which serves as an extra degree of freedom for light alongside spin angular momentum (SAM), S z = σ ℏ , where σ = ± 1 represents the right- or left-handed circular polarization of light. − Such a cylindrically structured beam, also referred to as twisted light (TL) or optical vortex (OV), is denoted by |σ, ⟩ and characterized by an unbounded quantum number and has been demonstrated to be advantageous in a variety of advanced photonic and quantum applications, ranging from optical tweezers, , optical trapping, , high-resolution optical microscope, − and optical communication , to high-dimensional quantum information. − Besides, the coexistence of SAM and OAM in a structured light beam gives rise to intriguing optical spin–orbit-coupled phenomena, − including photonic spin Hall effect, − spin-based plasmonics, photonic wheel, , optical transverse spin, and longitudinal field of light. − Furthermore, a structured light beam can be tailored by the controlled superposition of TLs with distinct SAM and OAM, expressed by where α(β) determines the relative phase (weight) of the two TL components in the superposition state and represents the azimuthal (polar) angle in the Poincaré sphere representation. − The structured light described by eq forms a vector vortex beam (VVB) in nonseparable states, where not only the complex amplitude but also the polarization of light is spatially structured and entangled with each other. ,− The exceptional characteristics of VVBs as light sources have been demonstrated to enable advanced photonics applications, particle acceleration, , vector beam multiplexing communication, ,…”