Parametric amplification at low-frequency pumping and generation of four-mode entangled states

Chirkin, A. S.; Saigin, Mikhail Yu.; Shutov, I. V.

doi:10.1007/s10946-008-9023-4

Cited by 13 publications

(4 citation statements)

References 18 publications

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“…However, this set of nonlinear differential equations is not solved analytically when generation of the multimode entangled states, states with the number of modes more than three, is analyzed. Among four-mode processes, of particular interest is finding a state vector for the process of parametric amplification at low-frequency pumping [8] in which entanglement on frequencies both below and above the pumping frequency is formed. The approach presented in our paper does not face such a difficulty even for a large number of coupled parametric processes.…”

Section: Resultsmentioning

confidence: 99%

A new approach to quantum theory of multimode coupled parametric processes

2013

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A new approach is proposed to solve the quantum evolution problem for a system with an arbitrary number of coupled optical parametric processes. Our method is based on the canonical transformations which define the evolution of the system in the Heisenberg picture. This theory overcomes the difficulties arising in the Wei-Norman method. The application of the approach developed is illustrated with the example of generation of a three-mode entangled light field.

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Section: Resultsmentioning

confidence: 99%

A new approach to quantum theory of multimode coupled parametric processes

2013

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“…We turn now to a description of the coupled nonlinear parametric processes (4) that will be used in teleportation of the two-color entangled images. Our analysis uses some previous results obtained for this kind of process [19]. Applications of the fields generated in these types of interactions, for teleportation of spatially single-mode two-color entangled states was discussed in [20].…”

Section: Coupled Parametric Interactionsmentioning

confidence: 99%

“…The solution of the set of equations [Eq. (19)] written in matrix form [Eq. (20)], is described by 16 transfer elements of the transfer matrix Q.…”

Section: Appendix A: Transfer Functions Q Mn Q;ωmentioning

confidence: 99%

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Quantum holographic teleportation of entangled two-color optical images

2012

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We introduce and theoretically investigate a scheme for teleportation of two-frequency entangled optical images in which the quantum channel is formed by four-frequency multimode states, generated in a single nonlinear photonic crystal by coupled parametric interactions. We study in detail the performance of the scheme. Namely, we evaluate its fidelity and the spatial-frequency spectra of the quadrature components characterizing the deterioration of the entanglement in the initial images due to the teleportation process. We analyze the influence of the spatial bandwidth of entanglement on the fidelity of teleportation. We investigate the performance of the scheme both in the near and the far diffraction field. Our analysis suggests that bandwidth matching of the quantum channel field with that of the images is generally necessary for high-quality teleportation. We show that entangled images are more fragile and more difficult to teleport than their coherent counterparts.

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Statistical properties of four-mode quantum states in coupled optical parametric down-conversions

Belyaeva

Chirkin

2009

J Russ Laser Res

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Parametric amplification at low-frequency pumping and generation of four-mode entangled states

Cited by 13 publications

References 18 publications

A new approach to quantum theory of multimode coupled parametric processes

A new approach to quantum theory of multimode coupled parametric processes

Quantum holographic teleportation of entangled two-color optical images

Statistical properties of four-mode quantum states in coupled optical parametric down-conversions

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