Deutsch’s algorithm with topological charges of optical vortices via non-degenerate four-wave mixing

Cao, Mingtao; Han, Liang; Liu, Ruifeng; Liu, Hao; Wei, Dong; Zhang, Pei; Guo, Weihua; Zhang, Shougang; Gao, Hong; Li, Fuli

doi:10.1364/oe.20.024263

Cited by 9 publications

(3 citation statements)

References 27 publications

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“…[19][20] The process described in this paper is a higher-order interaction that reveals further characteristics deeply connected with both the quantum and nonlinear optical character of the set-up. For simplicity, and also to directly connect with the realm of most practicable experimental measurements, we have considered the measurable form of the output in a region well removed from the conversion material -a distance of around one hundred input or two hundred output wavelengths.…”

Section: Resultsmentioning

confidence: 92%

Optical vortices in six-wave mixing

2014

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Optical vortex light engendered with integer units of orbital angular momentum (OAM) may be involved in frequency upconversion. Second harmonic generation is usually forbidden in isotropic media due to parity constraints, but it becomes allowed by six-wave mixing. Here, we present a rigorous quantum analysis for the case of a Laguerre-Gaussian input beam comprising photons endowed with a single unit of OAM. Such a process gives rise to the novel entanglement of orbital momentum in two emergent photons; it transpires that the mechanism delivers a harmonic output whose polarization is essentially parallel to the incident radiation. This investigation ascertains the character of the emission, both under forward propagation and back-reflection geometries, and identifies in detail the form of distribution in the entangled total orbital momentum. A distinctive conical spread, originating from the entangled distribution in the emission pair, affords a potential means to determine the individual angular momenta.

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Section: Resultsmentioning

confidence: 92%

Optical vortices in six-wave mixing

2014

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“…For example, four-wave mixing (FWM) was proposed and experimentally investigated for use in the construction of a controlled-Z gate with frequency encoded qubits [1]. A controlled-NOT (CNOT) gate via FWM was proposed in [2] for the polarization encoding of photon qubits, and in [3] for angular-momentum encoded photon qubits. The EIT enhancement of the nonlinear susceptibilities and suppression of the linear susceptibility enable one to observe even six-wave mixing (SWM) at low light intensities [4].…”

Section: Introductionmentioning

confidence: 99%

Controlled-NOT gate for frequency-encoded qubits based on six-wave mixing

2018

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The possibility of implementing a controlled-NOT gate for frequency-encoded photonic qubits via six-wave mixing in a multilevel atomic system is shown. Starting from the Hamiltonian for six-wave mixing in a cavity, equations of motion for the amplitudes of the photonic states are derived and solved in the framework of input-output formalism. Analysis of these solutions show how to realize two-qubit gates including relevant matching conditions.

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“…Accompanied with the development of the transferring method, the evolutions of OV experiencing linear or nonlinear optical processes are experimentally studied in electromagnetically induced transparency (EIT) [7,8], second-harmonic generation [9], four-wave mixing (FWM) [10], and parametric downconversion processes [11]. During the interactions between lights and media, the properties of the OV can be unavoidably modulated by the nonlinear effects such as Kerr-type nonlinearity [12][13][14], which can impose effects on the applications taking advantages of the spatial intensity distribution of OV such as entangled states [15] and logical gates for quantum computation [16,17].…”

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confidence: 99%

Propagation of optical vortices in a nonlinear atomic medium with a photonic band gap

Zhang

et al. 2017

Opt. Lett.

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We experimentally generate a vortex beam through a four-wave mixing (FWM) process after satisfying the phase-matching condition in a rubidium atomic vapor cell with a photonic band gap (PBG) structure. The observed FWM vortex can also be viewed as the reflected part of the launched probe vortex from the PBG. Further, we investigate the propagation behaviors, including the spatial shift and splitting of the probe and FWM vortices in the medium with enhanced Kerr nonlinearity induced by electromagnetically induced transparency. This Letter can be useful for better understanding and manipulating the applications involving the interactions between optical vortices and the medium.

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Deutsch’s algorithm with topological charges of optical vortices via non-degenerate four-wave mixing

Cited by 9 publications

References 27 publications

Optical vortices in six-wave mixing

Optical vortices in six-wave mixing

Controlled-NOT gate for frequency-encoded qubits based on six-wave mixing

Propagation of optical vortices in a nonlinear atomic medium with a photonic band gap

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