Structural Quantification of Entanglement

Shähandeh, Farid; Sperling, Jan; Vogel, W.

doi:10.1103/physrevlett.113.260502

Cited by 32 publications

(50 citation statements)

References 64 publications

(80 reference statements)

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“…for continuous variable (CV) systems. Despite that there are efficient methods for optimization of EWs in bipartite and even multipartite scenarios [22][23][24], there exist a few methods for EW construction; see, e.g., Ref. [25].…”

Section: Introductionmentioning

confidence: 99%

Entanglement and nonclassicality: A mutual impression

Gholipour

Shähandeh

2016

Phys. Rev. A

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We find a sufficient condition to imprint the single-mode bosonic phase-space nonclassicality onto a bipartite state as modal entanglement and vice versa using an arbitrary beam splitter. Surprisingly, the entanglement produced or detected in this way depends only on the nonclassicality of the marginal input or output states, regardless of their purity and separability. In this way, our result provides a sufficient condition for generating entangled states of arbitrary high temperature and arbitrary large number of particles. We also study the evolution of the entanglement within a lossy Mach-Zehnder interferometer and show that unless both modes are totally lost, the entanglement does not diminish.

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Section: Introductionmentioning

confidence: 99%

Entanglement and nonclassicality: A mutual impression

Gholipour

Shähandeh

2016

Phys. Rev. A

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“…Entanglement criteria available in the literature for continuous variables [48][49][50][51] involve variances or correlation functions of x and p. However, as described above, the correlations present in states of the form (13) are only revealed when modular variables are considered. In the next section, we provide a criterion to test for genuine multipartite entanglement that is especially suited to states of the form (15).…”

Section: Multipartite Wave Packetsmentioning

confidence: 99%

Detecting multipartite spatial entanglement with modular variables

et al. 2015

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Interference phenomena of quantum systems have been studied in the context of fundamental aspects of quantum physics and are considered a necessary resource for quantum information. Here we investigate the interference of multiparticle wave packets in terms of modular variables, which is a natural and convenient way to describe two or more interfering wave functions. Through the modular-variable description, interesting phenomena appear such as the complementarity between the number of wave packets and the width of the peaks of the momentum distribution. In the multipartite case, this effect produces quantum entanglement. We derive entanglement criteria that test for bipartite entanglement in generic bipartitions of a multipartite quantum state and use these criteria to test for genuine D-partite entanglement.

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“…Nevertheless, during the last decades, remarkable progress has been made [1,11]. This includes the theoretical classification of highly complex forms of entanglement in multipartite systems [12][13][14], as well as experiments which significantly widened the class of accessible states with interesting entanglement characteristics [15][16][17][18][19][20], where quantumoptical implementations are in many regards pioneering when it comes to realizing, witnessing, and utilizing entanglement.…”

Section: Introductionmentioning

confidence: 99%

Mode-independent quantum entanglement for light

et al. 2019

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We address the problem of the persistence of entanglement of quantum light under mode transformations, where orthogonal modes define the parties between which quantum correlations can occur. Since the representation of a fixed photonic quantum state in different optical mode bases can substantially influence the entanglement properties of said state, we devise a constructive method to obtain families of states with the genuine feature of remaining entangled for any choice of mode decomposition. In the first step, we focus on two-photon states in a bipartite system and optimize their entanglement properties with respect to unitary mode transformations. Applying a necessary and sufficient entanglement witness criteria, we are then able to prove that the class of constructed states is entangled for arbitrary mode decompositions. Furthermore, we provide optimal bounds to the robustness of the mode-independent entanglement under general imperfections. In the second step, we demonstrate the power of our technique by showing how it can be straightforwardly extended to higher-order photon numbers in multipartite systems, together with providing a generally applicable and rigorous definition of mode-independent separability and inseparability for mixed states.

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Structural Quantification of Entanglement

Cited by 32 publications

References 64 publications

Entanglement and nonclassicality: A mutual impression

Entanglement and nonclassicality: A mutual impression

Detecting multipartite spatial entanglement with modular variables

Mode-independent quantum entanglement for light

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