Majorana-based quantum computing in nanowire devices

Tutschku, Christian; Reinthaler, R. W.; Lei, Chao; MacDonald, Allan H.; Hankiewicz, Ewelina M.

doi:10.1103/physrevb.102.125407

Cited by 27 publications

(20 citation statements)

References 86 publications

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“…The subsequent alternative proposals include tuning the couplings between Majorana modes directly or indirectly via modulating the charging energy on the Majorana island or through quantum dots [11][12][13][14][15][16][17][18][19][20][21], measurement-only schemes [22][23][24][25], and others [26]. We notice that, with the progress of gating control techniques, the Majorana moving schemes have gained renewed interests in the past years [27][28][29][30][31]. In order to realize the topological protection, i.e., to restrict the quantum evolution in the subspace of the ground states, the quantum moving should be adiabatically slow.…”

Section: Introductionmentioning

confidence: 99%

Transport probe of nonadiabatic transition caused by Majorana moving

Xu,

2021

Preprint

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We propose a transport probe scheme to detect the nonadiabatic transition caused by Majornana moving, which is relevant to the braiding operations in topological quantum computation. The scheme is largely based on a time dependent single-electron-wavefunction approach to quantum transport. Applying the Kitaev model, we simulate the time dependent Andreev-reflection current and examine the feasibility of using the current to infer the nonadiabatic transition. We design a scheme to determine the Landau-Zener tunneling ratio in the context of transport, and compare it with the result obtained from the isolated quantum wire. Desirable agreements are demonstrated for the proposed scheme.

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Section: Introductionmentioning

confidence: 99%

Transport probe of nonadiabatic transition caused by Majorana moving

Xu,

2021

Preprint

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“…In this work, we take inspiration from the Kitaev chain [15], which is an archetypical model of a topological superconductor and has been intensely investigated in quantum systems due to its ability to host topological Majorana zero modes (MZM) [16][17][18]. These are expected to be good candidates for quantum computation devices [19,20]. Majorana particles are their own anti-particles, and can manifest in the context of topo-logical superconductors by having exact zero modes that are eigenstates of the particle-hole operator [16].…”

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confidence: 99%

Duality of Topological Edge States in a Mechanical Kitaev Chain

Allein¹,

Chaunsali²,

Anastasiadis³

et al. 2022

Preprint

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We theoretically investigate and experimentally demonstrate the existence of topological edge states in a mechanical analog of the Kitaev chain with a non-zero chemical potential. Our system is a one-dimensional monomer system involving two coupled degrees of freedom, i.e., transverse displacement and rotation of elastic elements. Due to the particle-hole symmetry, a topologically nontrivial bulk leads to the emergence of edge states in a finite chain with fixed boundaries. In contrast, a topologically trivial bulk also leads to the emergence of edge states in a finite chain, but with free boundaries. We unravel a duality in our system that predicts the existence of the latter edge states. This duality involves the iso-spectrality of a subspace for finite chains, and as a consequence, a free chain with topologically trivial bulk maps to a fixed chain with a nontrivial bulk. Lastly, we provide the conditions under which the system can exhibit perfectly degenerate in-gap modes, akin to Majorana zero modes. These findings suggest that mechanical systems with fine-tuned degrees of freedoms can be fertile test beds for exploring the intricacies of Majorana physics.

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“…Among electronic materials, topological superconductors have gained prominence as candidates for hosting Majorana zero modes (MZMs), which are potential building blocks of fault tolerant quantum computing [9][10][11][12][13][14][15][16][17][18][19][20]. The Kitaev chain [21], consisting of electrons hopping on a lattice subject to p-wave pairing, provides an excellent prototype for realizing MZMs as topologically protected edge states [22][23][24][25]. Remarkably, these modes have remained elusive in solid state systems despite tremendous efforts [26][27][28][29][30][31][32][33].…”

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confidence: 99%

Observation of Phase Controllable Majorana-like Bound States in Metamaterial-based Kitaev Chain Analogues

Qian¹,

Apigo²,

Padavić³

et al. 2022

Preprint

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We experimentally demonstrate that Majorana-like bound states (MLBSs) can occur in quasione-dimensional metamaterials, analogous to Majorana zero modes (MZM) in the Kitaev chain. In a mechanical spinner ladder system, we observe a topological phase transition and spectral-gapprotected edge MLBSs. We characterize the decaying and oscillatory nature of these MLBS pairs and their phase-dependent hybridization. It is shown that the hybridization can be tuned to yield the analogue of parity switching in MZMs, a key element of topological qubits. We find strong agreements with theory.

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Majorana-based quantum computing in nanowire devices

Cited by 27 publications

References 86 publications

Transport probe of nonadiabatic transition caused by Majorana moving

Transport probe of nonadiabatic transition caused by Majorana moving

Duality of Topological Edge States in a Mechanical Kitaev Chain

Observation of Phase Controllable Majorana-like Bound States in Metamaterial-based Kitaev Chain Analogues

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