• Photonics Research
  • Vol. 10, Issue 12, 2828 (2022)
Hui Guo1、2, Na Liu1、2, Zhi Li1、2, Rongguo Yang1、2, Hengxin Sun1、2, Kui Liu1、2、3、*, and Jiangrui Gao1、2、4、*
Author Affiliations
  • 1State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China
  • 2Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China
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    DOI: 10.1364/PRJ.469340 Cite this Article Set citation alerts
    Hui Guo, Na Liu, Zhi Li, Rongguo Yang, Hengxin Sun, Kui Liu, Jiangrui Gao. Generation of continuous-variable high-dimensional entanglement with three degrees of freedom and multiplexing quantum dense coding[J]. Photonics Research, 2022, 10(12): 2828 Copy Citation Text show less

    Abstract

    High-dimensional entanglement is a critical foundation for the growing demand for information capacity to implement the high-capacity quantum task. Here, we report continuous-variable high-dimensional entanglement with three degrees of freedom (frequency, polarization, and orbital angular momentum) directly generated with a single type-II optical parametric oscillator (OPO) cavity. By compensating both for dispersion in frequency modes and astigmatism in higher-order transverse modes, the OPO is capable of oscillating simultaneously and outputting thousands of entanglement pairs. The three degrees of freedom high-dimensional entanglement are verified simultaneously possessing frequency comb, spin, and orbital angular momentum entanglement via 14 pairs of Hermite–Gaussian mode correlations measurement. Then, the “space-frequency” multiplexing quantum dense coding communication is also demonstrated by using the entanglement resource. It shows the great superiority of high-dimensional entanglement in implementing the high-capacity quantum task. Apart from an increased channel capacity, it is possible to conduct deterministic high-dimensional quantum protocols, quantum imaging, and especially quantum computing.
    H^int=in,lGn,l(a^H,+l,+nΩ+b^V,l,nΩ++a^V,+l,+nΩ+b^H,l,nΩ++a^H,l,+nΩ+b^V,+l,nΩ++a^V,l,+nΩ+b^H,+l,nΩ+)+H.C.,

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    H^SAM=iG1,l(a^H+b^V++a^V+b^H+)+H.C.,

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    H^OAM=iG1,l(a^+l+b^l++a^l+b^+l+)+H.C.

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    I(S^1,S^3)=ΔAB2S^1+ΔA+B2S^32|[δS^1,δS^3]|=0.54±0.01<1,I(O^1,O^3)=ΔA+B2O^1+ΔAB2O^32|[δO^1,δO^3]|=0.54±0.01<1.

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    H^int=iG1,1(a^Hh,+Ω+b^Vh,Ω++a^Vh,+Ω+b^Hh,Ω++a^Hv,+Ω+b^Vv,Ω++a^Vv,+Ω+b^Hv,Ω+)+H.C.(A1)

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    τδa^˙Hh,+Ω=γ(1iΔA)δa^Hh,+ΩG1δb^Vh,Ω++2γeδe^1in+2γfδf^1,τδb^˙Vh,Ω=γ(1iΔB)δb^Vh,ΩG1δa^Hh,+Ω++2γeδe^2in+2γfδf^2,(A2)

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    VX+=VY=14ησ[(1σ)2ΔAΔB]σ42σ2(1+ΔAΔB)+(1+ΔA2)(1+ΔB2),(A3)

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    Hui Guo, Na Liu, Zhi Li, Rongguo Yang, Hengxin Sun, Kui Liu, Jiangrui Gao. Generation of continuous-variable high-dimensional entanglement with three degrees of freedom and multiplexing quantum dense coding[J]. Photonics Research, 2022, 10(12): 2828
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