Two-Photon High-Dimensional Spatial Entanglement: Theory and Experiment

Neves, Leonardo; Lima, G.; Gómez, J. G. Aguirre; Monken, C. H.; Saavedra, C.; Pádua, S.

doi:10.1142/s0217984906009566

Cited by 16 publications

(15 citation statements)

References 39 publications

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“…The entangled qudits are more resistant to noise than qubits. This is important because quantum communication protocols that use entangled qudits may be an alternative to overcome the limitation that entangled qubits work at limited distances due to noisy channels [8]. This fact that quantum communication protocols like quantum teleportation or quantum cryptography work best for maximally entangled states motivates the development of techniques to generate entangled states among quantum systems in higher dimensional Hilbert spaces to create entangled qudits with a high degree of entanglement.…”

Section: Light's Oam For Quantum Communicationsmentioning

confidence: 99%

Optical orbital angular momentum for optical communication and its measurements

Liu

et al. 2009

SPIE Proceedings

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The beam with orbital angular momentum is a present domestic and foreign research key direction. Its application and development will bring the profound influence in the optical communications field. At the same time, light's orbital angular momentum promises potential applications in both classical and quantum optical communication. The research progress of the beam with orbital angular momentum and encoding information as light's OAM for free-space optical communication were reviewed in this article, the existing design method, mechanism and description methods of encoding information as light's OAM were discussed. In quantum communication, qudits can be encoded in photons using their OAM for creating high-dimensional entanglement based on entangled photon pairs from SPDC. In this paper, light's OAM is used as information carrier for classical and quantum communication, which is promising to ensures the security of atmospheric laser communication, improves the density and precision of information transmission. It is apparent that an efficient way to measure the orbital angular momentum of individual photons and light beams with good efficiency would be of potentially great importance for optical communications and quantum information. In view of the above, the measurements of orbital angular momentum of individual photons and light beams are analyzed and discussed in detail.

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Section: Light's Oam For Quantum Communicationsmentioning

confidence: 99%

Optical orbital angular momentum for optical communication and its measurements

Liu

et al. 2009

SPIE Proceedings

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“…Examples of dilated and translated Haar wavelets defined in equation(4). The plots of the functions clearly show the orthogonality of the functions with respect to the overlap integral in equation(6)as the inner product.…”

mentioning

confidence: 93%

“…Linear optical quantum information processing (QIP) [1,2] has a mathematical representation in the form of finite-dimensional unitary transfer matrices operating on a Hilbert space of vectors that represent qubits/qudits [3,4]. The qubits are usually encoded in the polarization degree of freedom of a single photon, and optical components like beam splitters [5][6][7] and phase-shifters are used to implement the unitary transformations on them.…”

Section: Introductionmentioning

confidence: 99%

Double-slit interferometry as a lossy beam splitter

2019

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We cast diffraction-based interferometry in the framework of post-selected unitary description towards enabling it as a platform for quantum information processing (QIP). We express slitdiffraction as an infinite-dimensional transformation and truncate it to a finite-dimensional transfer matrix by post-selecting modes. Using such a framework with classical fields we show that a customized double-slit setup is effectively a lossy beam splitter in a post-selected sense. Diffraction optics provides a robust alternative to conventional multi-beam interferometry with scope for miniaturization, and also has applications in matter wave interferometry. In this work, the classical treatment of slit-diffraction sets the stage for quantization of fields and implementing higherdimensional QIP like that done with other platforms such as orbital angular momentum.

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“…Recently, we have demonstrated that by exploring the transverse momentum correlations of the twin photons it is possible to generate entangled states of two effective D-dimensional quantum systems [15,16]. Because the dimension of the Hilbert space of these photons is defined by the number of different ways available for their transmission through apertures where they are sent to, we call them spatial qudits.…”

Section: Introductionmentioning

confidence: 99%