Distillation of multipartite entanglement by local filtering operations

Huang, Yi-Sheng; Xing, Hai‐Bo; Yang, Ming; Yang, Qing; Song, Wei; Cao, Zhuo‐Liang

doi:10.1103/physreva.89.062320

Cited by 21 publications

(14 citation statements)

References 38 publications

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“…To circumvent the effects of environmental noises on the quantum properties of quantum states, several methods have been proposed, such as quantum error correction (QEC), quantum state purification, entanglement concentration, entanglement distillation, and quantum state protection etc. So, these methods may help us to enhance the QFI of the noisy probe states.…”

Section: Introductionmentioning

confidence: 88%

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Improving Quantum Metrology via Purifying and Distilling Noisy Probe States

et al. 2019

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In quantum metrology, the precision of unknown parameter estimation is studied in the quantum regime, and the choice of the probe state plays an important role in determining the precision of the parameter to be estimated. The quality of quantum metrology will be reduced in the presence of quantum noise during the memory time of probe states after preparation. Meanwhile the noisy probe state can be manipulated by different protocols such as single-qubit purification, entanglement purification, and entanglement distillation etc. In this paper, the effects of these manipulations on the usefulness, that is, quantum Fisher information (QFI), of the noisy probe state in quantum metrology are studied. The results show that joint operations in single-qubit purification and entanglement purification processes play positive roles in enhancing the QFI of the probe states, and local measurements in entanglement purification and entanglement distillation processes play both positive and negative roles in enhancing the QFI of the probe states. In this sense, single-qubit purification will always be helpful in parameter estimation by using single qubits as probe, and entanglement purification process maybe more suitable for improving the estimation precision when entangled-state probe is adopted.

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Section: Introductionmentioning

confidence: 88%

“…Refs. [] showed that it is also possible to enhance the entanglement via local filtering operations on each mixed entangled state in each operation round, which is called entanglement distillation. So, in this subsection, the contribution of entanglement distillation to quantum metrology will be studied.…”

Section: Manipulation Of the Probe States And Its Qfimentioning

confidence: 99%

Improving Quantum Metrology via Purifying and Distilling Noisy Probe States

et al. 2019

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“…Most recently, He et al [36] have presented a scheme for inducing tripartite entanglement revival in the dissipative environment and then further expanded to the N-qubit GHZ-class state. Huang et al [37] have proposed a single-copy entanglement distillation scheme for amplitude-damped multipartite entangled states via local POVM measurements and classical communications. However, the enhancement of the fidelity induced by the distillation scheme is very small for the given GHZ state.…”

Section: Introductionmentioning

confidence: 99%

Decoherence suppression of tripartite entanglement in non-Markovian environments by using weak measurements

Ding

Liu

2017

Annals of Physics

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A feasible scheme for protecting the Greenberger-Horne-Zeilinger (GHZ) entanglement state in non-Markovian environments is proposed. It consists of prior weak measurement on each qubit before the interaction with decoherence environments followed by post quantum measurement reversals. It is shown that both the fidelity and concurrence of the GHZ state can be effectively improved. Meanwhile, we also verified that our scenario can enhance tripartite nonlocality remarkably. In addition, the result indicates that the larger the weak measurement strength, the better the effectiveness of the scheme with the lower success probability.

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“…In this work we investigate the propagation of quantized radiation through anisotropic magnetodielectric metamaterial and explore the possibility to control the polarization entangled photon pairs or realize the distillation of the entanglement. In fact, various schemes of entanglement distillation, purification and concentration have been proposed [13][14][15][16][17][18][19][20]. Some of the schemes have been realized by experiments and the most successful example is the procrustean distillation of the entangled pure state by using partial polarizer [16,17].…”

Section: Introductionmentioning

confidence: 99%

Equation Chapter 1 Section 1 Distillation of Two-Photon Entanglement by Anisotropic Metamaterial

Yan¹

2015

IJMSA

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By using the Green-function approach to the quantization of the electromagnetic field, the procrustean distillation for quantum entanglement by the anisotropic magnetodielectric metamaterial has been proposed. We study the distillation of the non-maximally entangled pure states by a single layer of the anisotropic magnetodielectric metamaterial. The Clauser-Horne-Shimony-Holt parameter S for the entangled pure state has been calculated theoretically. It is shown that near the resonant peak of transmission for the y-polarized photon, the parameter S for the output states get the maximal value. Near the resonant peak of the transmission for the x-polarized photon, the entanglement of the output state is lower than the input state. For the frequency far from the resonant peak, the entanglement of the output state is dependent on the input state. Finally we find that the maximally entangled output is always appearing near the resonant frequency of the transmission for the y-polarized photon, no matter how low the entanglement of the input state is. This means that our method to realize the quantum distillation is effective.

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Distillation of multipartite entanglement by local filtering operations

Cited by 21 publications

References 38 publications

Improving Quantum Metrology via Purifying and Distilling Noisy Probe States

Improving Quantum Metrology via Purifying and Distilling Noisy Probe States

Decoherence suppression of tripartite entanglement in non-Markovian environments by using weak measurements

Equation Chapter 1 Section 1 Distillation of Two-Photon Entanglement by Anisotropic Metamaterial

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