Concentration and purification scheme for two partially entangled photon pairs

Yamamoto, Takashi; Koashi, Masato; Imoto, Nobuyuki

doi:10.1103/physreva.64.012304

Cited by 252 publications

(210 citation statements)

References 28 publications

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“…Interestingly, this protocol seems more feasibly for the concentration of multi-photon GHZ system. First, in this protocol, only Alice needs to perform this protocol, while in the conventional protocols [19,21,25], all the parties should perform the same operations with Alice. Second, in this protocol, only Alice asks other parities to retain or discard their photons, and they do not need to check their measurement results.…”

Section: Single-photon-assisted Entanglement Concentration With Lmentioning

confidence: 99%

“…However, it can only improve the quality of the mixed state and can not get the maximally entangled state. On the other hand, entanglement concentration, which will be detailed can be used to convert the partially entangled pairs to the maximally entangled ones [16][17][18][19][20][21][22][23][24][25][26][27]. In 1996, Bennett et al proposed the first entanglement concentration protocol (ECP), named Schmidt decomposition protocol.…”

Section: Introductionmentioning

confidence: 99%

“…[19,21,[23][24][25][26][27]] they need at least two copies of lessentangled (or say partially entangled) pairs initially. But after performing the protocols, at most one pair of maximally entangled state can be obtained, or both of each should be discarded, according to the measurement results by classical communication.…”

Section: Introductionmentioning

confidence: 99%

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Efficient single-photon-assisted entanglement concentration for partially entangled photon pairs

et al. 2012

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We present two realistic entanglement concentration protocols (ECPs) for pure partially entangled photons. A partially entangled photon pair can be concentrated to a maximally entangled pair with only an ancillary single photon in a certain probability, while the conventional ones require two copies of partially entangled pairs at least. Our first protocol is implemented with linear optics and the second one is implemented with cross-Kerr nonlinearities. Compared with other ECPs, they do not need to know the accurate coefficients of the initial state. With linear optics, it is feasible with current experiment. With cross-Kerr nonlinearities, it does not require the sophisticated single-photon detectors and can be repeated to get a higher success probability. Moreover, the second protocol can get the higher entanglement transformation efficiency and it maybe the most economical one by far. Meanwhile, both of protocols are more suitable for multi-photon system concentration, because they need less operations and classical communications. All these advantages make two protocols be useful in current long-distance quantum communications.

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Section: Single-photon-assisted Entanglement Concentration With Lmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Efficient single-photon-assisted entanglement concentration for partially entangled photon pairs

et al. 2012

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“…This method can be used to distill maximally entangled states from an ensemble of less-entangled pure states [41]. Many interesting entanglement concentration schemes considering different physical systems, different entangled states and exploiting different components have been proposed and discussed [42][43][44][45][46][47][48].…”

Section: Introductionmentioning

confidence: 99%

Hyperentanglement concentration for time-bin and polarization hyperentangled photons

Ghose

2015

Phys. Rev. A

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We present two hyperentanglement concentration schemes for two-photon states that are partially entangled in the polarization and time-bin degrees of freedom. The first scheme distills a maximally hyperentangled state from two identical less-entangled states with unknown parameters via the Schmidt projection method. The other scheme can be used to concentrate an initial state with known parameters, and requires only one copy of the initial state for the concentration process. Both these two protocols can be generalized to concentrate N -photon hyperentangled GreenbergerHorne-Zeilinger states that are simultaneously entangled in the polarization and time-bin degrees of freedom. Our schemes require only linear optics and are feasible with current technology. Using the time-bin degree of freedom rather than the spatial mode degree of freedom can provide savings in quantum resources, which makes our schemes practical and useful for long-distance quantum communication.

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“…Here |H and |V represent the horizontal and the vertical polarizations of photons. In 2001, Ya-mamoto et al [41] and Zhao et al [42] proposed an ECP for photon pairs based on linear optical elements independently. In 2008, Sheng, Deng, and Zhou [43] proposed an ECP for photon systems based on cross-Kerr nonlinearities.…”

Section: Introductionmentioning

confidence: 99%

Optimal multipartite entanglement concentration of electron-spin states based on charge detection and projection measurements

Ren

Wei

et al. 2013

Quantum Inf Process

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We propose an optimal entanglement concentration protocol (ECP) for nonlocal N-electron systems in a partially entangled pure state, resorting to charge detection and the projection measurement on an additional electron. For each nonlocal N-electron system, one party in quantum communication, say Alice first entangles it with an additional electron, and then she projects the additional electron into an orthogonal basis for dividing the N-electron systems into two groups. In the first group, the N parties obtain a subset of N-electron systems in a maximally entangled state directly. In the second group, they obtain some less-entangled N-electron systems which are the resource for the entanglement concentration in the next round. By iterating the entanglement concentration process several times, the present ECP has the maximal success probability, the theoretical limit of an ECP as it just equals to the entanglement of the partially entangled state, far higher than others, without resorting to a collective unitary evolution.

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Concentration and purification scheme for two partially entangled photon pairs

Cited by 252 publications

References 28 publications

Efficient single-photon-assisted entanglement concentration for partially entangled photon pairs

Efficient single-photon-assisted entanglement concentration for partially entangled photon pairs

Hyperentanglement concentration for time-bin and polarization hyperentangled photons

Optimal multipartite entanglement concentration of electron-spin states based on charge detection and projection measurements

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