Quantum teleportation of the angular spectrum of a single-photon field

Walborn, S. P.; Ether, D. S.; Filho, R. L. de Matos; Zagury, N.

doi:10.1103/physreva.76.033801

Cited by 29 publications

(17 citation statements)

References 24 publications

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“…Spatial entanglement [1] of photon pairs plays an important role in fundamental quantum mechanics [2][3][4], quantum cryptography [5,6], quantum teleportation [7] and quantum computation [8]. A widely used strategy to test spatial entanglement is to directly measure intensity correlations in both near and far fields of the source plane, which are interpreted as correlations in the transverse positions and momenta of the two photons.…”

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confidence: 99%

Quantifying the momentum correlation between two light beams by detecting one

Hochrainer

Lahiri

Łapkiewicz

et al. 2017

Proc. Natl. Acad. Sci. U.S.A.

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We report a measurement of the transverse momentum correlation between two photons by detecting only one of them. Our method uses two identical sources in an arrangement in which the phenomenon of induced coherence without induced emission is observed. In this way, we produce an interference pattern in the superposition of one beam from each source. We quantify the transverse momentum correlation by analyzing the visibility of this pattern. Our approach might be useful for the characterization of correlated photon pair sources and may lead to an experimental measure of continuous variable entanglement, which relies on the detection of only one of two entangled particles.quantum correlations | single-photon interference | complementarity principle | photon indistinguishability | photonic spatial modes S patial entanglement (1) of photon pairs plays an important role in fundamental quantum mechanics (2-4), quantum cryptography (5, 6), quantum teleportation (7), and quantum computation (8). A widely used strategy to test spatial entanglement is to directly measure intensity correlations in both near and far fields of the source plane, which are interpreted as correlations in the transverse positions and momenta of the two photons. Measurements of the transverse momentum correlation between two photons have been performed using a variety of experimental methods (3), including the scanning of two detectors (9, 10) or two slits (11), using detector arrays (12), spatial light modulators (13), and cameras (14). All of these methods rely on the detection of both of the correlated photons. This fact restricts their applicability to situations where the wavelength of both photons lies in a spectral range, for which sufficiently efficient detectors are available.If two spatially separated nonlinear crystals emit pairs of photons (signal and idler) by the process of spontaneous parametric down conversion (SPDC) (15, 16), the two resulting signal beams in general do not interfere in lowest order (17). The absence of interference can be understood by the fact that the measurement on an idler photon would provide which-path information about a signal photon. However, lowest-order interference between the signal beams occurs if the respective idler beams are indistinguishable. This phenomenon, known as induced coherence without induced emission, was first observed experimentally in ref. 18, following a suggestion by Z.-Y. Ou of aligning the two idler beams (18,19). The interferometric visibility is reduced if path-distinguishability is introduced via different transmissions (18,19), different temporal delays (20), or different transverse sizes of the two idler beams (21,22). Recently, the phenomenon led to applications in imaging (23), spectroscopy (24, 25), metrology (26), spectrum shaping (27), and fundamental tests of complementarity (e.g., refs. 28-30).In this paper, we introduce and experimentally demonstrate a method for measuring the transverse momentum correlation between two photons by detecting only one of them. Our me...

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confidence: 99%

Quantifying the momentum correlation between two light beams by detecting one

Hochrainer

Lahiri

Łapkiewicz

et al. 2017

Proc. Natl. Acad. Sci. U.S.A.

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“…This sequential scanning or use of a small number of detectors negates any information capacity advantage in the use of spatial states. In all protocols for high-dimensional quantum key distribution 7 8 , quantum computation 3 and teleportation 9 using spatial states, it is essential to perform a full field measurement of the photon transverse position, which is made possible by using a two-dimensional (2D) detector array.…”

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Imaging high-dimensional spatial entanglement with a camera

et al. 2012

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The light produced by parametric down-conversion shows strong spatial entanglement that leads to violations of EPR criteria for separability. Historically, such studies have been performed by scanning a single-element, single-photon detector across a detection plane. Here we show that modern electron-multiplying charge-coupled device cameras can measure correlations in both position and momentum across a multi-pixel field of view. This capability allows us to observe entanglement of around 2,500 spatial states and demonstrate Einstein–Podolsky–Rosen type correlations by more than two orders of magnitude. More generally, our work shows that cameras can lead to important new capabilities in quantum optics and quantum information science.

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“…RSP could be a reliable method for transmitting this information. Recently, Walborn et al [41] proposed a QT scheme to accomplish such task for an unknown angular spectrum. In their scheme, Alice and Bob share a two-photon entangled state produced by SPDC and a third photon, carrying the angular spectrum to be transmitted, is in possession of Alice.…”

Section: Discussionmentioning

confidence: 99%

Remote state preparation of spatial qubits

Solís-Prosser

Neves

2011

Phys. Rev. A

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We study the quantum communication protocol of remote state preparation (RSP) for pure states of qubits encoded in single photons transmitted through a double slit, the so-called spatial qubits. Two measurement strategies that one can adopt to remotely prepare the states are discussed. The first strategy is the well-known spatial postselection, where a single-pixel detector measures the transverse position of the photon between the focal and the image plane of a lens. The second strategy, proposed by ourselves, is a generalized measurement divided into two steps: the implementation of a two-outcome positive operator-valued measurement (POVM) followed by the spatial postselection at the focal plane of the lens by a two-pixel detector in each output of the POVM. In both cases we analyze the effects of the finite spatial resolution of the detectors over three figures of merit of the protocol, namely, the probability of preparation, the fidelity and purity of the remotely prepared states. It is shown that our strategy improves these figures compared with spatial postselection, at the expense of increasing the classical communication cost as well as the required experimental resources. In addition, we present a modified version of our strategy for RSP of spatial qudits which is able to prepare arbitrary pure states, unlike spatial postselection alone. We expect that our study may also be extended for RSP of the angular spectrum of a single-photon field as an alternative for quantum teleportation which requires very inefficient nonlinear interactions.Comment: 17 pages, 8 figures. Published versio

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Quantum teleportation of the angular spectrum of a single-photon field

Cited by 29 publications

References 24 publications

Quantifying the momentum correlation between two light beams by detecting one

Quantifying the momentum correlation between two light beams by detecting one

Imaging high-dimensional spatial entanglement with a camera

Remote state preparation of spatial qubits

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