Demonstration of one-dimensional quantum random walks using orbital angular momentum of photons

Orbital angular momentum filter of photon based on spin-orbital angular momentum coupling

“…The infinite dimension of this degree of freedom of photons has critical applications in many fields [2,3], for example, high dimensional entanglement [4][5][6][7], optical tweezers [8][9][10], high capacity communication [11][12][13], quantum algorithm [14][15][16]. The OAM of photons is characterized by the spiral phase exp(i φ) in the transverse plane, where specifies the topological number of the vortex beams, ranging from −∞ to ∞, φ is the azimuthal phase.…”

Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons

“…Most recently, Childs has shown that, in principle, any quantum algorithm can be recast as a QRW algorithm [6]. Meanwhile, numerous schemes of QRWs have been proposed by using various systems, including ion traps [7], microwave or optical cavities [8], nuclear magnetic resonance systems [9], optical lattices [10], linear optical elements [11][12][13][14], quantum accelerator modes [15], and superconducting circuit quantum electrodynamics [16]. All these results are advancing toward the ultimate goals of quantum computation.…”

“…QRWs have been experimentally demonstrated in linear optical systems [13,14,19,20]. Reference [13] realized a QRW by employing photon's polarizations and space modes.…”

“…[13] but greatly improved the stability and decreased the optical components by using birefringent calcite as the polarizing beam splitter. Reference [14] carried out an experiment of QRWs by using photon up-down routes and orbital angular momentum (OAM). This setup is simpler than [13] because there are only two space modes and the photons "walk" on OAM space.…”

Proposal for the generation of photon pairs with nonzero orbital angular momentum in a ring fiber

“…Optical fields with non-zero orbital angular momentum (OAM), which show a non-gaussian transverse amplitude and phase profiles [1,2], are of great interest in a myriad of scientific and technological applications, such as secure communications [3], ultra-precise measurements [4,5], nano-particle manipulation [6] or quantum computing [7]. These applications push forward the development of new methods aimed at the preparation of optical fields with OAM in both the classical and quantum (i.e.…”