Nonclassicality Invariant of General Two-Mode Gaussian States

Arkhipov, Ievgen I.; Peřina, Jan; Svozilík, Jiří; Miranowicz, Adam

doi:10.1038/srep26523

Cited by 36 publications

(40 citation statements)

References 48 publications

(70 reference statements)

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“…Quantities which are conserved during entanglement swapping have been studied in the past [9], and there has been considerable recent interest in more general forms of conservation related to entanglement [10][11][12].…”

Section: A Entanglement Swapping Of a General State With A Bell Statementioning

confidence: 99%

“…For instance, it could be used for the creation of multi-partite entangled states [4] from bi-partite entanglement or for overcoming the transmission loss in establishing entanglement over long-distances via quantum repeaters [5][6][7][8]. Interestingly, the entanglement swapping concept also lends itself to the search for entanglement conserving quantities [9][10][11][12]. In any experimental implementation the generated entangled quantum states are not necessarily perfect and, in fact, could be further degraded by transmission through the communication channels.…”

Section: Introductionmentioning

confidence: 99%

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Entanglement swapping of two arbitrarily degraded entangled states

et al. 2016

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We consider entanglement swapping, a key component of quantum network operations and entanglement distribution. Pure entangled states, which are the desired input to the swapping protocol, are typically mixed by environmental interactions causing a reduction in their degree of entanglement. Thus an understanding of entanglement swapping with partially mixed states is of importance. Here we present a general analytical solution for entanglement swapping of arbitrary two-qubit states. Our result provides a comprehensive method for analyzing entanglement swapping in quantum networks. First, we show that the concurrence of a partially mixed state is conserved when this state is swapped with a Bell state. Then, we find upper and lower bounds on the concurrence of the state resulting from entanglement swapping for various classes of input states. Finally, we determine a general relationship between the ranks of the initial states and the rank of the final state after swapping.

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Section: A Entanglement Swapping Of a General State With A Bell Statementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Entanglement swapping of two arbitrarily degraded entangled states

et al. 2016

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“…The global nonclassicality of the Gaussian states of light can be expressed as by the entanglement between optical modes and so by the local nonclassicalities in the form of field squeezing [11][12][13][14][15][16]. It is worth noting that for discrete variable quantum systems one can also quantify the global nonclassicality in terms of local coherence and entanglement [17,18].…”

mentioning

confidence: 99%

Complete identification of nonclassicality of Gaussian states via intensity moments

Arkhipov

2018

Phys. Rev. A

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We present an experimental method for complete identification of the nonclassicality of Gaussian states in the whole phase space. Our method relies on nonclassicality witnesses written in terms of measured integrated intensity moments up to the third order, provided that appropriate local coherent displacements are applied to the state under consideration. The introduced approach, thus, only requires linear detectors for measuring intensities of optical fields, that is very convenient and powerful from the experimental point of view. Additionally, we demonstrate that the proposed technique not only allows to completely identify the nonclassicality of the Gaussian states but also to quantify it.

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“…The nonclassicality of an arbitrary two-mode Gaussian stateρ out (which includes an arbitrary single-mode stateρ in studied in this paper) can also be analyzed by applying a numerically-efficient nonclassicality invariant proposed in Ref. [93]. That quantifier is invariant under any global unitary photon-number-preserving transformations of the covariance matrix of a Gaussian state.…”

Section: Nonclassical and Classical Effects And Statesmentioning

confidence: 99%

Two-photon blockade and photon-induced tunneling generated by squeezing

et al. 2019

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Inspired by the recent experiment of Hamsen et al. [Phys. Rev. Lett. 118, 133604 (2017)], which demonstrated two-photon blockade in a driven nonlinear system (composed of a harmonic cavity with a driven atom), we show that two-photon blockade and other nonstandard types of photonblockade and photon-induced tunneling can be generated in a driven harmonic cavity without an atom or any other kind of nonlinearity, but instead coupled to a nonlinear (i.e., squeezed) reservoir. We also simulate these single-and two-photon effects with squeezed coherent states and displaced squeezed thermal states.

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Nonclassicality Invariant of General Two-Mode Gaussian States

Cited by 36 publications

References 48 publications

Entanglement swapping of two arbitrarily degraded entangled states

Entanglement swapping of two arbitrarily degraded entangled states

Complete identification of nonclassicality of Gaussian states via intensity moments

Two-photon blockade and photon-induced tunneling generated by squeezing

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