Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0603006 · Physical Review A

Frequency conversion of an entangled state

Aihong Tan, Xiaojun Jia, Changde Xie

Published Mar 23, 2006• 5 citations
arXivHTMLPDF

Abstract

The quantum characteristics of sum-frequency process in an optical cavity with an input signal optical beam, which is a half of entangled optical beams, are analyzed. The calculated results show that the quantum properties of the signal beam can be maintained after its frequency is conversed during the intracavity nonlinear optical interaction. The frequency-conversed output signal beam is still in an entangled state with the retained other half of the initial entangled beams. The resultant quantum correlation spectra and the parametric dependences of the correlations on the initial squeezing factor, the optical losses and the pump power of the sum-frequency cavity are calculated. The proposed system for the frequency conversion of the entangled state can be used in quantum communication network and the calculated results can provide direct references for the design of experimental systems.

DOI
10.1103/physreva.73.033817

Related papers

Quantum frequency doubling based on tripartite entanglement with cavities

Juan Guo, Zhi-Feng Wei, Suying Zhang

We analyze the entanglement characteristics of three harmonic modes, which are the output fields from three cavities with an input tripartite entangled state at fundamental frequency. The entanglement properties of the input beams can be maintained after their frequencies have been up-converted by the process of second harmonic generation. We have calculated the parametric dependences of the correlation spectrum on the initial squeezing factor, the pump power, the transmission coefficient, and the normalized analysis frequency of cavity. The numerical results provide references to choose proper experimental parameters for designing the experiment. The frequency conversion of the multipartite entangled state can also be applied to a quantum communication network.

Chinese Physics B•Feb 1, 2016•1 citation

Observation of quantum frequency conversion

Jianming Huang, Prem Kumar

Quantum frequency conversion,1 a process with which one beam of light can be converted into another of a different frequency while preserving the quantum state, is experimentally demonstrated. An implementation of quantum frequency conversion requires that an input beam to a sum-frequency generator be completely up-converted. One needs to generate a quantum state (e.g., a squeezed state or a twin- beam state) at one frequency and then show that the properties of the same state appear at the up-converted frequency. We have chosen to use nonclassical intensity correlation of the twin beams as the input quantum property because large correlations can be easily obtained by pumping an optical parametric amplifier with a mode-locked and Q-switched laser.2 After one of the twin beams is up-converted, nonclassical intensity correlations appear between the up-converted beam and the remaining twin beam. In our experiment the 1064nm output signal beam of the parametric amplifier, possessing >3 dB nonclassical intensity correlation with the 1064nm output idler beam, is up-converted into a 532nm beam. The 532nm beam shows >2 dB nonclassical correlation with the 1064nm idler beam, demonstrating the quantum frequency conversion process.

Annual Meeting Optical Society of America•Jan 1, 1991•26 citations

Scheme to generate continuous-variable quadripartite entanglement by intracavity down-conversion cascaded with double sum-frequency generations

H. Y. Leng, Jianfeng Wang, Youbin Yu +5 more

We theoretically show that continuous-variable genuine quadripartite entanglement can be generated by intracavity cascaded nonlinear optical interactions. The process consists of a parametric down-conversion, a sum-frequency generation of pump and signal and a sum-frequency generation of pump and idler. The characteristics of the quadripartite entanglement among the signal, the idler, and two sum-frequency modes are analyzed by applying a sufficient inseparability criterion for multipartite continuous-variable entanglement proposed by Van Loock and Furusawa. The threshold properties of the system are also discussed.

Physical Review A•Mar 27, 2009•35 citations

Quadripartite continuous-variable entanglement generation by nondegenerate optical parametric amplification cascaded with a sum-frequency process

Youbin Yu, Huaijun Wang, J. S. Zhao +3 more

Abstract Quadripartite continuous-variable (CV) entanglement with different optical frequencies can be generated by nondegenerate optical parametric amplification cascaded with a sum-frequency process in only one optical superlattice. Firstly, the idler beam is generated by a different frequency process between pump and signal beams. Then, the sum-frequency beam will be generated by a cascaded sum-frequency process between pump and idler beams in the same optical superlattice. The conversion dynamics of the cascaded nonlinear processes is investigated by using a quantum stochastic method. The quantum correlations among pump, signal, idler and sum-frequency beams are calculated by applying a sufficient inseparability criteria for quadripartite CV entanglement. The results show that quadripartite CV entangled beams can be produced by this single-pass cascaded nonlinear process in one optical superlattice.

Laser Physics Letters•Sep 12, 2016•4 citations

Noise-free frequency conversion of quantum states

Yunfei Bai, Shuqin Zhai, Jiangrui Gao +1 more

In this paper, the frequency conversion of quantum states based on the intracavity nonlinear interaction is proposed. The fidelity of an input state after frequency conversion is calculated, and it is shown the noise-free frequency conversion of a quantum state can be achieved by injecting a strong signal field. The dependences of conversion efficiency on the pump parameter, extra losses and input state amplitude are also analysed.

Chinese Physics B•Mar 1, 2011•6 citations

Quantum state transfer in frequency down-conversion via nondegenerate optical parametric amplifier

Yunfei Bai, Junxiang Zhang, Shi-Yao Zhu

By utilizing the nondegenerate optical parametric amplifier, the quantum state transfer from a pump state with high frequency to a signal state of lower frequency is studied theoretically. The noiseless state transfer is characterized by frequency conversion efficiency and noise figure. It is shown that the quantum state can be well preserved during the frequency conversion as long as the optical parametric amplifier is operated far below the threshold, and meanwhile injected with an input idler field with a power density about ten times greater than that of the pump. The dependence of the noise figure and conversion efficiency on the idler amplitude, the analyzing frequency and the cavity extra loss is also discussed.

arXiv:1102.4676•Feb 23, 2011•0 citations
The quantum characteristics of sum-frequency process in an optical cavity with an input signal optical beam, which is a half of entangled optical beams, are analyzed. The calculated results show that the quantum properties of the signal beam can be maintained after its frequency is conversed during the intracavity nonlinear optical interaction. The frequency-conversed output signal beam is still in an entangled state with the retained other half of the initial entangled beams. The resultant quantum correlation spectra and the parametric dependences of the correlations on the initial squeezing factor, the optical losses and the pump power of the sum-frequency cavity are calculated. The proposed system for the frequency conversion of the entangled state can be used in quantum communication network and the calculated results can provide direct references for the design of experimental systems.
We analyze the entanglement characteristics of three harmonic modes, which are the output fields from three cavities with an input tripartite entangled state at fundamental frequency. The entanglement properties of the input beams can be maintained after their frequencies have been up-converted by the process of second harmonic generation. We have calculated the parametric dependences of the correlation spectrum on the initial squeezing factor, the pump power, the transmission coefficient, and the normalized analysis frequency of cavity. The numerical results provide references to choose proper experimental parameters for designing the experiment. The frequency conversion of the multipartite entangled state can also be applied to a quantum communication network.
Quantum frequency conversion,1 a process with which one beam of light can be converted into another of a different frequency while preserving the quantum state, is experimentally demonstrated. An implementation of quantum frequency conversion requires that an input beam to a sum-frequency generator be completely up-converted. One needs to generate a quantum state (e.g., a squeezed state or a twin- beam state) at one frequency and then show that the properties of the same state appear at the up-converted frequency. We have chosen to use nonclassical intensity correlation of the twin beams as the input quantum property because large correlations can be easily obtained by pumping an optical parametric amplifier with a mode-locked and Q-switched laser.2 After one of the twin beams is up-converted, nonclassical intensity correlations appear between the up-converted beam and the remaining twin beam. In our experiment the 1064nm output signal beam of the parametric amplifier, possessing >3 dB nonclassical intensity correlation with the 1064nm output idler beam, is up-converted into a 532nm beam. The 532nm beam shows >2 dB nonclassical correlation with the 1064nm idler beam, demonstrating the quantum frequency conversion process.
We theoretically show that continuous-variable genuine quadripartite entanglement can be generated by intracavity cascaded nonlinear optical interactions. The process consists of a parametric down-conversion, a sum-frequency generation of pump and signal and a sum-frequency generation of pump and idler. The characteristics of the quadripartite entanglement among the signal, the idler, and two sum-frequency modes are analyzed by applying a sufficient inseparability criterion for multipartite continuous-variable entanglement proposed by Van Loock and Furusawa. The threshold properties of the system are also discussed.
Abstract Quadripartite continuous-variable (CV) entanglement with different optical frequencies can be generated by nondegenerate optical parametric amplification cascaded with a sum-frequency process in only one optical superlattice. Firstly, the idler beam is generated by a different frequency process between pump and signal beams. Then, the sum-frequency beam will be generated by a cascaded sum-frequency process between pump and idler beams in the same optical superlattice. The conversion dynamics of the cascaded nonlinear processes is investigated by using a quantum stochastic method. The quantum correlations among pump, signal, idler and sum-frequency beams are calculated by applying a sufficient inseparability criteria for quadripartite CV entanglement. The results show that quadripartite CV entangled beams can be produced by this single-pass cascaded nonlinear process in one optical superlattice.
By utilizing the nondegenerate optical parametric amplifier, the quantum state transfer from a pump state with high frequency to a signal state of lower frequency is studied theoretically. The noiseless state transfer is characterized by frequency conversion efficiency and noise figure. It is shown that the quantum state can be well preserved during the frequency conversion as long as the optical parametric amplifier is operated far below the threshold, and meanwhile injected with an input idler field with a power density about ten times greater than that of the pump. The dependence of the noise figure and conversion efficiency on the idler amplitude, the analyzing frequency and the cavity extra loss is also discussed.