Genuine quadripartite steering in three-photon spontaneous parametric down-conversion

Chen, T. H.; Yu, Y. B.; Chen, A. X.

doi:10.1103/physreva.106.l060601

Cited by 3 publications

(2 citation statements)

References 35 publications

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“…Liang et al [28] gave a scheme to produce asymmetric EPR steering by spontaneous parametric down-conversion cascaded with double sum-frequency generation. Chen et al investigated the asymmetric EPR steering [29] and tripartite EPR steering [30] in the processes of three-photon parametric down-conversion. Shen et al [31] proposed a scheme to produce quadripartite EPR steering in an optical superlattice.…”

Section: Introductionmentioning

confidence: 99%

One to many one-way control in quadripartite asymmetric Einstein-Podolsky-Rosen steering

Xiao,

Cheng,

et al. 2024

New J. Phys.

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Einstein-Podolsky-Rosen (EPR) steering is different from quantum entanglement because of its unique asymmetry. Multipartite asymmetric EPR steering can break through one-to-one monogamy steering and achieve one to many one-way steering. That is to say, the state of one part can steer the other rest parts simultaneously, while the other parts cannot steer this part. Here, a scheme is proposed to generate one to many one-way steering by optical parametric amplification cascaded with a sum-frequency generation process. One to many non-monogamy EPR steering, such as one to two and one to three one-way steering are demonstrated based on the criterion for asymmetric EPR steering. It is also find that different kinds of asymmetric EPR steering can be obtained by choosing different nonlinear parameters. This non-monogamous one to many quantum control has potential application in constructing quantum networks and realizing one-way quantum computing.

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Section: Introductionmentioning

confidence: 99%

One to many one-way control in quadripartite asymmetric Einstein-Podolsky-Rosen steering

Xiao,

Cheng,

et al. 2024

New J. Phys.

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“…The genuine quadripartite quantum steering which was proposed can be produced by nondegenerate optical parametric amplification (NOPA) cascaded with a sum-frequency process in an optical cavity [17]. The asymmetric EPR steering [18] and tripartite EPR steering [19] were investigated in the processes of three-photon parametric down-conversion. A scheme was proposed to produce quadripartite EPR steering by spontaneous parametric down-conversion cascaded process with two sum-frequency generations in an optical superlattice [20].…”

mentioning

confidence: 99%

Quadripartite quantum steering generated by single-pass cascaded nonlinear processes

Shen,

Jiang,

Cheng

et al. 2024

EPL

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Quantum steering has become an important resource for quantum information due to its unique asymmetry. In this paper, quadripartite quantum steering generated by single-pass non-degenerate optical parametric amplification cascaded with a sum-frequency process is investigated. Firstly, idler beam is produced by different-frequency process between pump and signal. Secondly, sum-frequency beam is generated by cascaded sum-frequency process between idler and pump in the same optical superlattice. Quadripartite quantum steering among pump, signal, idler and sum-frequency beams id demonstrated based on the criterion for multipartite quantum steering. The influences of nonlinear coupling coefficients $\kappa$, dimensionless propagation length $\xi$, and the initial values of pump and signal on the variation characteristic of the quadripartite steering are also investigated. The results indicate that slightly larger nonlinear coupling coefficients of cascaded nonlinear processes and weaker signals can achieve better quadripartite quantum steering. This simple quadripartite quantum steering preparation scheme does not require a resonant cavity and is easier to implement experimentally, with potential applications in quantum communication and computing.

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Bipartite and tripartite steering by a nonlinear medium in a cavity

Ornelas-Cruces,

Rosales-Zárate

2023

J. Opt. Soc. Am. B

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Nonlocal quantum correlations are important for potential applications in quantum optics and quantum information. Multipartite quantum correlations are relevant to access to high-dimensional systems such as qudits. There are also different proposals for the generation of quantum steering based on nonlinear systems and cavities. Here, we consider the Hamiltonian of a triple photon parametric down-conversion process to investigate the regions where bipartite and tripartite steering are generated. In this model, three beams interact with a nonlinear medium inside a cavity through the process of parametric down-conversion, creating three output fields. The positive P representation is used to analyze this system and steady-state solutions are obtained. We calculated the intracavity fluctuation spectra to analyze steering in the frequency domain and used different criteria to certify this quantum correlation. We certified bipartite steering for the three output fields from the cavity. In the case of full tripartite two-way steering inseparability, it is also present for all the bipartitions under consideration. Our results show regimes where bipartite and tripartite steering is certified for this model.

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Genuine quadripartite steering in three-photon spontaneous parametric down-conversion

Cited by 3 publications

References 35 publications

One to many one-way control in quadripartite asymmetric Einstein-Podolsky-Rosen steering

One to many one-way control in quadripartite asymmetric Einstein-Podolsky-Rosen steering

Quadripartite quantum steering generated by single-pass cascaded nonlinear processes

Bipartite and tripartite steering by a nonlinear medium in a cavity

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