Finite-temperature Bell test for quasiparticle entanglement in the Fermi sea

Hannes, Wolf-Rüdiger; Titov, M.

doi:10.1103/physrevb.77.115323

Cited by 12 publications

(28 citation statements)

References 28 publications

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“…Our scheme is based on postselection, even if this is a very debate point in the quantum information community. 50 It is especially questionable, whether entanglement produced by post-selection is useful, in the sense, that destruction of the entangled particles is required in order produce the entanglement. Hence, the entanglement is not available for further quantum information usage.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Proposal for an on-demand source of polarized electrons into the edges of a topological insulator

Inhofer

Bercioux

2013

Phys. Rev. B

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We propose a device that allows for the emission of pairs of spin-polarized electrons into the edge-states of a two dimensional topological insulator. Charge and spin emission is achieved using a periodically driven quantum dot weakly coupled to the edge states of the host topological insulator. We present calculations of the emitted time-dependent charge and spin currents of such a dynamical scatterer using the Floquet scattering matrix approach. Experimental signatures of spin-polarized two-particle emission can be found in noise measurements. Here a new form of noise suppression, named Z2-antibunching, is introduced. Additionally, we propose a set-up in which entanglement of the emitted electrons is generated. This entanglement is based on a post-selection procedure and becomes manifest in a violation of a Clauser-Horne-Shimony-Holt inequality.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Proposal for an on-demand source of polarized electrons into the edges of a topological insulator

Inhofer

Bercioux

2013

Phys. Rev. B

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“…This avoids the problem that has been pointed out in Ref. 6. At the same time our postselection includes almost all excitations created by V ex that have typical energies ͉ − F ͉ , ͉ − F ͉Ϸ⍀.…”

Section: Appendix A: Bell Testmentioning

confidence: 91%

Pseudospin entanglement and Bell test in graphene

Kindermann

2009

Phys. Rev. B

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We propose a way of producing and detecting pseudospin entanglement between electrons and holes in graphene. Electron-hole pairs are produced by a fluctuating potential and their entanglement is demonstrated by a current correlation measurement. The chirality of electrons in graphene facilitates a well-controlled Bell test with (pseudo-)spin projection angles defined in real space.Comment: 9 pages, 2 figures; v2 with slightly modified abstract and introductio

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“…However, since such values depend on the measuring time, in general they have to be normalized by some other measurable quantity like the average current. These observables lead to unbound fluctuations at finite temperature, which might lead to a fake violation of the Bell inequality even at high temperatures (). This effect is a manifestation of the weak positivity and therefore does not represent a conclusive Bell test.…”

Section: Hierarchy Of Mesoscopic Bell Testmentioning

confidence: 99%

Spin entanglement generation and detection in semiconductor nanostructures

Belzig

Bednorz

2014

Physica Status Solidi (b)

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This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. Entanglement, viz. the non-separability of quantum states, is a fundamental prediction of quantum mechanics, which is at odds with the classical perception of reality. Furthermore, it constitutes a resource for quantum computation and quantum communication. Electronic degrees of freedom in nanostructures -in particular the spin -constitute promising candidates to implement quantum information architectures in scalable solid state circuits. In this topical review, we will summarize some efforts to create and detect entanglement in such structures. We concentrate first on entanglement in double quantum dots, since they promise to be viable candidates to produce entanglement by confining electrons to a small interaction region.The quantitative detection of the entanglement through transport measurements can be done via current and noise. Secondly, we concentrate on the creation of spin entanglement at quantum point contacts, which has the advantage that the two electrons are automatically spatially separated. We discuss the possibility of performing a Bell test of non-local correlations. However, as we will point out, a reliable entanglement detection can be performed by current-correlation measurements, although they require some trust in the experimental setup. Finally, we present a hierarchy of mesoscopic Bell tests, which could be useful to evaluate theoretical proposals and experimental setups.

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Finite-temperature Bell test for quasiparticle entanglement in the Fermi sea

Cited by 12 publications

References 28 publications

Proposal for an on-demand source of polarized electrons into the edges of a topological insulator

Proposal for an on-demand source of polarized electrons into the edges of a topological insulator

Pseudospin entanglement and Bell test in graphene

Spin entanglement generation and detection in semiconductor nanostructures

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