Simplified optical quantum-information processing via weak cross-Kerr nonlinearities

Guo, Qi; Bai, Juan; Cheng, Liu-Yong; Shao, Xiao‐Qiang; Wang, Hong-Fu; Zhang, Shou

doi:10.1103/physreva.83.054303

Cited by 96 publications

(64 citation statements)

References 32 publications

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“…Before we start this protocol, let us briefly explain the basic principle of the cross-Kerr nonlinearity. The cross-kerr nonlinearity has been widely studied in constructing of CNOT gates [54], performing entanglement purification protocol [25], ECPs [42,45], complete Bell-state analysis [55], and other quantum communication and computation processing [56][57][58][59][60][61][62][63][64]. The Hamiltonian of a cross-Kerr nonlinear medium can be described as H =hχn anb , where thehχ is the coupling strength of the nonlinearity.…”

Section: W State Concentration With Cross-kerr Nonlinearitymentioning

confidence: 99%

Efficient two-step entanglement concentration for arbitraryWstates

2012

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We present two two-step practical entanglement concentration protocols (ECPs) for concentrating an arbitrary three-particle less-entangled W state into a maximally entangled W state assisted with single photons. The first protocol uses the linear optics and the second protocol adopts the cross-Kerr nonlinearity to perform the protocol. In the first protocol, based on the post-selection principle, three parties say Alice, Bob and Charlie in different distant locations can obtain the maximally entangled W state from the arbitrary less-entangled W state with a certain success probability. In the second protocol, it dose not require the parties to posses the sophisticated single-photon detectors and the concentrated photon pair can be retained after performing this protocol successfully. Moreover, the second protocol can be repeated to get a higher success probability. Both protocols may be useful in practical quantum information applications.

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Section: W State Concentration With Cross-kerr Nonlinearitymentioning

confidence: 99%

Efficient two-step entanglement concentration for arbitraryWstates

2012

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“…As the phase shift can be measured by the homodyne measurement, the photon number in each spatial mode can be detected without destroying the photons. The crossKerr nonlinearity provides a good way to construct the QND, which has played an important role in the quantum information field, such as quantum logic gate [77,78], quantum teleportation [79], entanglement purification and concentration [43][44][45][46][47], and so on [80][81][82][83][84][85][86][87][88][89][90][91].…”

Section: The Second Ecp For the Single-photon Entanglementmentioning

confidence: 99%

Efficient Concentration Protocols for the Single-Photon Entanglement State with Polarization Feature

Zhou

Wang

et al. 2017

Front. Phys.

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We propose two efficient entanglement concentration protocols (ECPs) for arbitrary less-entangled single-photon entanglement state, in which the photon qubit has the polarization feature. The first ECP is in linear optics, and the second ECP is in nonlinear optics. The two ECPs have some attractive advantages. First, they can preserve the polarization feature of the photon qubit, while all the other existing ECPs for single photon state cannot achieve this goal. Second, they only require one pair of less-entangled single-photon entanglement state and some auxiliary single photons. Third, they only require local operations. Especially, the second ECP can be used repeatedly, which can increase its success probability largely. Based on above properties, our two ECPs, especially the second one may be useful in current and future quantum communication.

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“…Before explaining the protocol in detail, we introduce the principle of the QND gate constructed by the cross-Kerr nonlinearity briefly [63][64][65][66][67][68][69][70][71]. The cross-Kerr nonlinearity can be described with its Hamiltonian [72]:…”

Section: The Concurrence Measurement For the Optical Statesmentioning

confidence: 99%

Concurrence Measurement for the Two-Qubit Optical and Atomic States

Zhou

Sheng

2015

Entropy

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Concurrence provides us an effective approach to quantify entanglement, which is quite important in quantum information processing applications. In the paper, we mainly review some direct concurrence measurement protocols of the two-qubit optical or atomic system. We first introduce the concept of concurrence for a two-qubit system. Second, we explain the approaches of the concurrence measurement in both a linear and a nonlinear optical system. Third, we introduce some protocols for measuring the concurrence of the atomic entanglement system.

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Simplified optical quantum-information processing via weak cross-Kerr nonlinearities

Cited by 96 publications

References 32 publications

Efficient two-step entanglement concentration for arbitraryWstates

Efficient two-step entanglement concentration for arbitraryWstates

Efficient Concentration Protocols for the Single-Photon Entanglement State with Polarization Feature

Concurrence Measurement for the Two-Qubit Optical and Atomic States

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