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Schematic diagram of the helical wavefront of a light beam.

Schematic diagram of the helical wavefront of a light beam.

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Quantum Teleportation, the transfer of the state of one quantum system to another without direct interaction between both systems, is an important way to transmit information encoded in quantum states and to generate quantum correlations (entanglement) between remote quantum systems. So far, for photons, only superpositions of two distinguishable s...

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... Quantum entanglement has served as a key resource for various quantum information processing (QIP) tasks [1][2][3][4][5][6][7], leading numerous quantum communication protocols [8][9][10][11][12][13][14][15][16][17] to spring up in recent decades. Remote state preparation (RSP) has provided an efficient method to transmit the known quantum state through distributing entanglement resources [18][19][20][21][22][23], which consumes less classical information than quantum teleportation (QT) [24][25][26][27][28][29]. ...
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... Inspired by these schemes, constructing the interaction between qubits and qudits in quantum electrodynamics (QED), [26][27][28] which describes photon-atom or atom-atom interaction and has been used to realize quantum logic operations, [29][30][31] can also achieve the state transfer. Moreover, long-distance quantum teleportations [32][33][34] are based on quantum entanglement channels, and those entangled states are also prepared in samedimensional quantum objects. Researchers have proposed a number of schemes to prepare entanglements between atoms in QED systems. ...
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... 252 With the introduction of additional ancillary photons to the projection measurements, however, the degeneracy may be broken. 252,253 Refs. 41 and 42 subsequently constructed setups to achieve this with a scaling of d − 2 additional single photons and log 2 (d) − 1 additional pair, respectively. ...
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... dynamics (QED) [34][35][36][37][38][39], which describes photon-atom or atom-atom interaction and has been used to realize quantum logic operations [40][41][42], can also achieve the state transfer. Moreover, long-distance quantum teleportations [43][44][45][46][47][48][49] are based on quantum entanglement channels, and those entangled states are also prepared in same-dimensional quantum objects. Researchers have proposed a number of schemes to prepare entanglements between atoms in QED systems [50][51][52]. ...
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... Different spectrum symmetries of photon pairs are required in quantum information protocols. For instance, photon pairs with an antisymmetric distribution of degree of freedom have applications in quantum computation and communication protocols [24,25]. Anyons, which are quasiparticles with fractional statistics, have been observed only recently experimentally in quantum electronics experiments [26]. ...
... We recover the previous case when µ = 0, because the real part of the Fourier transform of f + is the cosine Fourier transform. Now, if the JSA is antisymmetric, the wavefunction in Eq. (20) is reduced to: (25) and the coincidence probability can be expressed as ...
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... Different spectrum symmetries of photon pairs are required in quantum information protocols. For instance, photon pairs with an antisymmetric distribution of degree of freedom have applications in quantum computation and communication protocols [20,21]. The shaping of the spectral distribution of photon pairs allows simulating the particle's statistics of fermions [22], namely, producing a photon pair with an antisymmetric spectrum. ...
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In this paper, we investigate the influence of the symmetry of the biphoton wavefunction on the coincidence measurement of the generalized Mach-Zehnder (MZ) interferometer, where there are a temporal and frequency shift operations between the two beam-splitters. We show that the generalized MZ interferometer is the measurement of the short-time Fourier transform of the function modeling the energy conservation of a spontaneous parametric down-conversion process if the full biphoton state is symmetric, and of the symmetric characteristic distribution of the phase-matching function if the state is antisymmetric. Thus, this technique is phase-sensitive to the spectral distribution of the photon pairs. Finally, we investigate in detail the signature of a pair of anyons whose peculiar statistics can be simulated by engineering the spectrum of photon pairs.
... Several theoretical proposals have been made to extend teleportation from qubits to d-dimensional qudits using linear optics [39][40][41], but none have yet been realised experimentally for d > 3, with the present state-of-the-art (d = 3) designed by a computer simulation [42] but still needing ancillary photons. Nonlinear optical approaches have been proposed [8,43,44], and used to perform a complete Bell state measurement, but only for qubit polarisation states [45], where ancillary photons are inconsequential. ...
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Quantum teleportation allows protected information exchange between distant parties, a crucial resource in future quantum networks. Using high-dimensional quantum states for teleportation offers the promise of higher information capacity channels, protection against optimal cloning machines and improved resilience to noise. However, such promising advantages are limited by the commonly used linear optical detection schemes that require ancillary photons, where the number of entangled photons grows with the dimension of the quantum state to be teleported. Here we overcome this restriction and experimentally realise the teleportation of high-dimensional states with just three photons, enabled by nonlinear optical detection. To create high-dimensional quantum states we employ photonic spatial modes and demonstrate a ten-dimensional teleportation channel, exceeding the state-of-the-art of two spatial modes for qubit teleportation and qutrit teleportation with four and five photons. Our experimental scheme is not basis dependent and easily scaled in dimension without changing its three-photon configuration, making high-dimensional teleportation practically feasible for future high-bandwidth robust quantum networks.