Demonstrating entanglement by testing Bell's theorem in Majorana wires

Drummond, David E.; Kovalev, Alexey A.; Hou, Chang-Yu; Shtengel, Kirill; Pryadko, Leonid P.

doi:10.1103/physrevb.90.115404

Cited by 9 publications

(11 citation statements)

References 52 publications

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“…As mentioned above, when also f = 0, the dots will be perfectly disentangled, but for finite f (and hence not too large L), CAR processes generate entanglement both for the case of normal-conducting leads [21][22][23]26] and for the dot case at hand [24,25]. This entanglement can be probed through the violation of Bell inequalities when several MBS pairs are present [41]. In general terms, CAR refers to the splitting of a Cooper pair on the island which produces entangled electrons on different dots (or leads) [42,43].…”

Section: Introductionmentioning

confidence: 99%

Majorana entanglement bridge

et al. 2015

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We study the concurrence of entanglement between two quantum dots in contact to Majorana bound states on a floating superconducting island. The distance between the Majorana states, the charging energy of the island, and the average island charge are shown to be decisive parameters for the efficiency of entanglement generation. We find that long-range entanglement with basically distance-independent concurrence is possible over wide parameter regions, where the proposed setup realizes a "Majorana entanglement bridge." We also study the time-dependent concurrence obtained after one of the tunnel couplings is suddenly switched on, which reveals the time scales for generating entanglement. Accurate analytical expressions for the concurrence are derived both for the static and the time-dependent cases. Our results indicate that entanglement formation in interacting Majorana devices can be fully understood in terms of an interplay of elastic cotunneling (also referred to as "teleportation") and crossed Andreev reflection processes.

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Section: Introductionmentioning

confidence: 99%

Majorana entanglement bridge

et al. 2015

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“…Not only there has been an intense search for experimental schemes in which LGI violations can be observed [29][30][31][32][33][34][35][36], but also several applications for arXiv:1802.10522v2 [cond-mat.str-el] 22 Jun 2018 them have been proposed, including identification of order-disorder quantum phase transitions in many-body systems [37] and characterization of quantum transport [38]. Indeed it is also interesting to extend the range of LGI violation features as a detection tool of topological phase transitions.…”

Section: Introductionmentioning

confidence: 99%

Universal two-time correlations, out-of-time-ordered correlators, and Leggett-Garg inequality violation by edge Majorana fermion qubits

et al. 2018

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In the present work we propose that two-time correlations of Majorana edge localized fermions constitute a novel and versatile toolbox for assessing the topological phases of 1D open lattices. Using analytical and numerical calculations on the Kitaev model, we uncover universal relationships between the decay of the short-time correlations and a particular family of out-of-time-ordered correlators, which provide direct experimental alternatives to the quantitative analysis of the system regime, either normal or topological. Furthermore we show that the saturation of two-time correlations possesses features of an order parameter. Finally, we find that violations of Leggett-Garg inequalities can indicate the topological-normal phase transition by looking at different qubits formed by pairing local and non-local edge Majorana fermions.

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“…Various systems have been suggested to detect the existence of MBS including the ν = 5/2 fractional quantum Hall state [9], p-wave superconductors or superfluids [10], semiconductor-superconductor heterostructures [11], and the surface of topological insulators [12], etc. Most of the recent experiments proposed and performed have focused on charge transport for demonstrating the the presence of MBS [14][15][16][17]. One of the most promising candidate proposals for the full demonstration of MFs is to use semiconducting nanowires(InAS or InSb wires) with a strong spin-orbit interaction, where a nanowire is placed in proximity to a superconductor and biased with a magnetic field.…”

Section: Introductionmentioning

confidence: 99%