Quantum Airy photons

Maruca, Stephanie; Kumar, S. Chaitanya; Sua, Yong Meng; Chen, Jiayang; Shahverdi, Amin; Huang, Yu‐Ping

doi:10.1088/1361-6455/aacac5

Cited by 14 publications

(11 citation statements)

References 58 publications

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“…Wavefront design can offer advantages e.g. reduced diffraction 15,[50][51][52][53][54][55][56]60 and increased resolution. Eric Betzig and others 65 have recently offered super resolution results using Bessel beams [51][52][53][54][55][56][57][58]60 that yielded a Nobel prize in 2014.…”

Section: Hyper-entanglement Multiphoton Entanglement Hybrid States Qu...mentioning

confidence: 99%

“…reduced diffraction 15,[50][51][52][53][54][55][56]60 and increased resolution. Eric Betzig and others 65 have recently offered super resolution results using Bessel beams [51][52][53][54][55][56][57][58]60 that yielded a Nobel prize in 2014. More recently designed electron and x-ray wavefronts have shown great promise 66 .…”

Section: Hyper-entanglement Multiphoton Entanglement Hybrid States Qu...mentioning

confidence: 99%

“…Lie algebra techniques for solving the Helmholtz equation [50][51][52][53][54][55][56][57]60 will be introduced. Lie algebra approaches offer a powerful method of observing relationships between the different wavefronts, their relationship to symmetries and how propagation invariant wavefronts arise.…”

Section: Lie Optics: Lie Algebra Based Wavefront Analysismentioning

confidence: 99%

“…This paper emphasizes systems that combine the performance improving features derived from hyper-entanglement (HE) and multiphoton entanglement (ME) , related measures of effectiveness (MOEs) [41][42][43][44][45][46][47][48][49] , improved wavefront designs [50][51][52][53][54][55][56][57][58][59][60] . Lie algebra techniques for designing parameterized wavefronts are emphasized [50][51][52][53][54][55][56][57][58]60 . Parameterized wavefronts facilitate imaging, communicating and sensing in environments with obstructions, turbulence and other propagation inhomogeneities.…”

Section: Introductionmentioning

confidence: 99%

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Improving performance of hyper-entangled and multiphoton entangled systems via wavefront design and quantum networks

Smith

2024

Quantum Information Science, Sensing, and Computation XVI

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New results have been derived for wavefronts for single and multiple photons and combined with quantum hyperentanglement, multiphoton entanglement, and network properties. These new results arise from use of Lie algebra techniques for disentanglement of certain operators related to propagation. The new results include closed form exact expressions for functions related to the disentanglement process. These expressions permit many different solutions to the disentanglement process. These new expressions offer much higher order programmable self-accelerating curves to be created. This in turn facilitates more effective quantum-based sensing and communication around corners and other obstacles, with reduced loss. This approach significantly increases the information that can be communicated or stored when using a recently derived extension of superdense coding. The resulting wavefronts are shown to reduce diffraction and have the self-healing property, i.e. automatically reobtain their original form when initially damaged by turbulence. Each node of the network will transmit at least one signal and one ancilla photon in a hyper-entangled state. Parameters used for hyper-entanglement will include photon polarization, energy-time, orbital angular momentum, radial quantum number, etc. as well as up to 12 parameters characterizing the wavefront properties. Eigenfunctions of operators associated with each 2D paraxial wave equation will be determined each being a function of up to six parameters. The same wavefront or combinations of wavefronts can be applied to multiple photons to combine hyper-entanglement with multiphoton entanglement offering additional improvements. Measures of effectiveness such as the signal-to-noise ratio (SNR), measurement time, resolution measures, and Holevo bound are considered.

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Section: Hyper-entanglement Multiphoton Entanglement Hybrid States Qu...mentioning

confidence: 99%

Section: Hyper-entanglement Multiphoton Entanglement Hybrid States Qu...mentioning

confidence: 99%

Section: Lie Optics: Lie Algebra Based Wavefront Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Improving performance of hyper-entangled and multiphoton entangled systems via wavefront design and quantum networks

Smith

2024

Quantum Information Science, Sensing, and Computation XVI

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“…Following these demonstrations, the unique properties of Airy beams have been utilized in practical applications such as super resolution imaging [10], micro-manipulation of particles [11], and the generation of curved plasma channels [12]. Recently, single photon Airy beams have been demonstrated as well [13].…”

mentioning

confidence: 99%

Spatially entangled Airy photons

Lib

Bromberg

2020

Opt. Lett.

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Over the past decade, Airy beams have been the subject of extensive research, leading to new physical insights and various applications. In this letter, we extend the concept of Airy beams to the quantum domain. We generate entangled photons in a superposition of two-photon Airy states via spontaneous parametric down conversion, pumped by a classical Airy beam. We show that the entangled Airy photons preserve the intriguing properties of classical Airy beams, such as free acceleration and reduced diffraction, while exhibiting non-classical anti-correlations. arXiv:1909.10026v1 [physics.optics]

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