Manipulating spatial qudit states with programmable optical devices

Lima, G.; Vargas, Asticio; Neves, Leonardo; Guzmán, R.; Saavedra, C.

doi:10.1364/oe.17.010688

Cited by 66 publications

(84 citation statements)

References 38 publications

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“…Furthermore, there exist schemes for engineering the two-photon entanglement by properly shaping the two-photon angular spectrum [16,244,245]. There is also a wide array of gadgetry devised to manipulate these spatial degrees of freedom, including lens systems [21,168,167,246], holographic masks [184,247], phase plates [209,210,219] and more recently the development of spatial light modulators have opened up even more possibilities for the synthesis and control of the spatial degrees of freedom of photons [248,249,250,251].…”

Section: Applications To Quantum Informationmentioning

confidence: 99%

Spatial correlations in parametric down-conversion

et al. 2010

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The transverse spatial effects observed in photon pairs produced by parametric down-conversion provide a robust and fertile testing ground for studies of quantum mechanics, non-classical states of light, correlated imaging and quantum information. Over the last 20 years there has been much progress in this area, ranging from technical advances and applications such as quantum imaging to investigations of fundamental aspects of quantum physics such as complementarity relations, Bell's inequality violation and entanglement. The field has grown immensely: a quick search shows that there are hundreds of papers published in this field, some with hundreds of citations. The objective of this article is to review the building blocks and major theoretical and experimental advances in the field, along with some possible technical applications and connections to other research areas.

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Section: Applications To Quantum Informationmentioning

confidence: 99%

Spatial correlations in parametric down-conversion

et al. 2010

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“…In this case, the overall SLM transmission is 20%. The state of the single photons transmitted through this SLM can be written as [34,41] …”

Section: Methodsmentioning

confidence: 99%

Fast Entanglement Detection for Unknown States of Two Spatial Qutrits

Lima

Gómez

Vargas

et al. 2010

Latin America Optics and Photonics Conference

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We investigate the practicality of the method proposed by Maciel et al. [Phys. Rev. A. 80, 032325 (2009)] for detecting the entanglement of two spatial qutrits (3-dimensional quantum systems), which are encoded in the discrete transverse momentum of single photons transmitted through a multi-slit aperture. The method is based on the acquisition of partial information of the quantum state through projective measurements, and a data processing analysis done with semi-definite programs. This analysis relies on generating gradually an optimal entanglement witness operator, and numerical investigations have shown that it allows for the entanglement detection of unknown states with a cost much lower than full state tomography.

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“…On the other hand, a spatial light modulator (SLM) can be used to perform state control [20]. It has been used for tomographing polarization [21] and transverse momenta [22] states, for measuring Bell inequality violations in orbital momenta of SPDC photon pairs [23], and optical quantum algorithm simulation [24].…”

Section: Introductionmentioning

confidence: 99%

Double-slit implementation of the minimal Deutsch algorithm

et al. 2012

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We report an experimental implementation of the minimal Deutsch algorithm in an optical setting. In this version, a redundancy is removed from the most famous form of the algorithm. The original version involves manipulation of two qubits, while in its minimal version, only one qubit is used. Our qubit is encoded in the transversal spatial modes of a spontaneous parametric down-converted signal photon, with the aid of a double slit, with the idler photon playing a crucial role in creating a heralded single photon source. A spatial light modulator (SLM) is programmed to physically generate one-bit functions necessary to implement the algorithm's minimal version, which shows that the SLM can be used in future implementations of quantum protocols.

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Manipulating spatial qudit states with programmable optical devices

Cited by 66 publications

References 38 publications

Spatial correlations in parametric down-conversion

Spatial correlations in parametric down-conversion

Fast Entanglement Detection for Unknown States of Two Spatial Qutrits

Double-slit implementation of the minimal Deutsch algorithm

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