Bright three-color entangled state produced by cascaded optical parametric oscillators

Tan, Anhui; Xie, Changde; Peng, Kunchi

doi:10.1103/physreva.85.013819

Cited by 16 publications

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“…The multicolor entangled optical beams with several different wavelengths have been also generated by single or cascaded nondegenerate optical parametric oscillators (NOPOs) above the threshold [15][16][17][18][19][20][21][22][23][24][25]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Quantum limits for cascaded nondegenerate optical parametric oscillators

Liu

Jia

2015

Quantum Inf Process

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The continuous variable multicolor entangled state of optical modes is one of the essential quantum resources for constructing quantum information networks composed of many nodes and channels. It has been well proved that the cascaded nondegenerate optical parametric oscillators (CNOPOs) are the most successful devices to produce bright entangled optical beams with different wavelengths. Here, we discuss the dependence of the possibly obtained largest-size multicolor entangled state and the entanglement degree on optical parameters of CNOPOs. Each NOPO in the cascaded system is operated above its oscillation threshold. One of two output optical beams produced by a NOPO is used for the pump light of the subsequent one, and the remained another beam serves as a submode of the multicolor entangled state. The obtainable maximal number of entangled submodes and the multicolor entanglement degree are numerically calculated under experimentally accessible conditions. The calculated results provide direct references for the design of generation systems of multicolor entangled optical beams.

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Section: Introductionmentioning

confidence: 99%

Quantum limits for cascaded nondegenerate optical parametric oscillators

Liu

Jia

2015

Quantum Inf Process

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“…The results numerically calculated in Ref. [26] show that the physical parameters of the two NOPOs, such as the transmissions of input and output mirrors, the intra-cavity losses, and the pump coefficient σ (σ = P/P th , P is the pump power of NOPO, P th is the threshold pump power), simultaneously influence the entanglement quality. For improving entanglement quality the intra-cavity losses of the signal and the idler modes should be reduced.…”

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“…* kcpeng@sxu.edu.cn Two-color entangled optical beams at different frequency regions have been experimentally prepared by means of abovethreshold NOPOs with various pump lasers and nonlinear crystals [18][19][20][21][22]. Recent years, for satisfying the requirements of the developing QIN the generation schemes of multicolor CV entangled states via intra-cavity nonlinear processes have been theoretically proposed [24][25][26][27]. In 2009, the first CV three-color entangled state was experimentally produced by an above-threshold NOPO at a low temperature of −23 0 C [23].…”

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confidence: 99%

“…It has been theoretically proved in Ref. [26] that the three final output light beams (a 2 , a 3 and a 4 ) originating from a single pump beam (a 0 ) have strong intensity correlation. On the other hand, the frequency constraint among the three optical modes translates into a constraint for the phase variations, so the phase fluctuations of the optical modes a 1 and a 2 (a 3 and a 4 ) should be anti-correlated each other, the sum of their phase fluctuations should be correlated with the phase fluctuation of the pump field.…”

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confidence: 99%

“…The discrete-variable (DV) entangled state of triple photons at three different wavelengths are experimentally produced by a cascaded spontaneous parametric down-conversion process in two different nonlinear crystals [30,31]. Transferring the scheme producing threecolor DV entangled photons to CV regime, our group proposed a generation system of CV three-color entangled optical beams, in which two cascaded NOPO1 and NOPO2 are utilized [26]. One of the entangled signal and idler optical beams produced by NOPO1, is used for the pump light of NOPO2.…”

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Experimental Realization of Three-Color Entanglement at Optical Fiber Communication and Atomic Storage Wavelengths

et al. 2012

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Entangled states of light including low-loss optical fiber transmission and atomic resonance frequencies are essential resources for future quantum information network. We present the experimental achievement on the three-color entanglement generation at 852 nm, 1550 nm and 1440 nm wavelengths for optical continuous variables. The entanglement generation system consists of two cascaded non-degenerated optical parametric oscillators (NOPOs). The flexible selectivity of nonlinear crystals in the two NOPOs and the tunable property of NOPO provide large freedom for the frequency selection of three entangled optical beams. The presented system is hopeful to be developed as a practical entangled source used in quantum information networks with atomic storage units and long fiber transmission lines.PACS numbers: 03.67. Bg, 03.67.Mn, 42.65.Yj, 42.50.Dv Entanglement is the most typical quantum feature that has no analogue in classical physics. In the development of modern physics the understanding to the conception and property of entanglement has continually attracted the study interests of both theoretical and experimental physicists [1][2][3]. Especially, it has been demonstrated that quantum entanglement is the most important resource in quantum communication and computation. A lot of endeavor has been paid in preparing various quantum entangled states over past twenty years [4][5][6][7][8][9][10][11]. A variety of bipartite optical continuous variable (CV) entangled states have been generated and applied in different protocols of quantum communication involving two parties [6][7][8]. However, a real quantum information network should be composed of many nodes and channels [9][10][11]. It has been known that the controlled quantum communications only can be achieved under the help of multipartite (more than two parties) entangled states. Based on the use of tripartite CV entangled states the interesting quantum communication experiments, such as controlled dense-coding [9], quantum teleportation network [10] and quantum secret sharing [11] etc., have been achieved. Toward practical applications in the real-world we have to establish quantum information networks (QINs) involving both light and matter atoms, where light is used for communicating among distant nodes consisting of matter atoms [12]. The atomic systems in network nodes serve as the storages of quantum information. The storage and retrieve of quantum states of light are the important operations realizing QINs and have been experimentally demonstrated based on Cs and Rb atoms by several groups [13][14][15][16][17]. For developing practical CV QIN with both nodes and fiber transmission lines, it is essential to prepare multi-partite entangled states consisting of optical sub-modes at fiber transmission and atomic transition frequencies.Non-degenerate optical parametric oscillators (NOPOs) above the threshold are the most successful devices for producing two-color and multi-color CV entangled optical beams in the achieved experiments of quantum optics [18]...

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Genuine Quadripartite Continuous‐Variable Entanglement in Symmetric Cascaded Four‐Wave Mixing Process

Zhang

Ahmed

et al. 2020

Annalen der Physik

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The symmetric cascaded four‐wave mixing process is a phase‐insensitive and easy‐to‐implement technology to prepare quadripartite entanglement. However, it has not yet been discussed whether the state generated by this method is genuinely entangled. Here, it is shown that the genuine quadripartite entanglement criteria previously derived are not applicable to the symmetric cascaded scheme. Thus some more effective sufficient conditions are derived for detecting genuine entanglement in this work. The existence of genuine quadripartite entanglement is then confirmed through different entanglement witnesses. Under the premise that the quadripartite state is genuinely entangled, the quantum gain of the first‐stage determines the optimal range of the quantum gain of second‐stage. Finally, it is show that the four output modes are genuinely entangled within the appropriate quantum gain ranges when the optical loss of each step of the cascaded system is less than 10%. The results pave the way for the experimental generation of genuine quadripartite entanglement in symmetric cascaded scheme.

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Bright three-color entangled state produced by cascaded optical parametric oscillators

Cited by 16 publications

References 46 publications

Quantum limits for cascaded nondegenerate optical parametric oscillators

Quantum limits for cascaded nondegenerate optical parametric oscillators

Experimental Realization of Three-Color Entanglement at Optical Fiber Communication and Atomic Storage Wavelengths

Genuine Quadripartite Continuous‐Variable Entanglement in Symmetric Cascaded Four‐Wave Mixing Process

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