Implementation of Single-Qubit Gates via Parametric Modulation in the Majorana Transmon

Lupo, Elena; Grosfeld, Eytan; Ginossar, Eran

doi:10.1103/prxquantum.3.020340

Cited by 5 publications

(2 citation statements)

References 82 publications

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“…Here we propose a scheme for MBS braiding and related fermion parity qubit operations that cater to the challenges and virtues of extended topological Josephson junction geometries. The scheme involves shuttling multiple MBS along such junctions towards a quantum dot that forms a parity measurement apparatus, thus forming a hybrid between the two gate operation approaches [28][29][30][31]. In what follows, we first outline the scheme.…”

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confidence: 99%

Majorana bound state parity exchanges in planar Josephson junctions

Subramanyan¹,

Vayrynen²,

Levchenko³

et al. 2023

Preprint

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We describe a scheme to exchange fermion parity between two pairs of Majorana bound states mediated by coupling with a centralized quantum dot. We specifically formulate such a scheme for Majorana bound states nucleated in the Josephson vortices formed in a four-fold crossroads junction of planar topological superconductors in the presence of a perpendicular magnetic field. This platform yields several advantages to the execution of our scheme as compared to similar ideas proposed in wire geometries, including control over the positions of the MBS and hence, a tunable coupling with the quantum dot. We show that moving the MBS along the junctions through voltage pulses can facilitate parity exchange via a two-step process, with intermediate projective measurements of the quantum dot charge. Thus, we formulate a way to achieve single qubit operations for MBS in extended Josephson junctions through projective measurements of quantum dot charge. We also discuss the physical viability of our scheme with a particular focus on changes in quantum dot energy levels as a measurable indicator of the success of the scheme.

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confidence: 99%

Majorana bound state parity exchanges in planar Josephson junctions

Subramanyan¹,

Vayrynen²,

Levchenko³

et al. 2023

Preprint

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“…Coupling topological states to photons could lead to new testing grounds for topology [13][14][15][16][17][18][19] and to the generation of novel quantum states of matter. Superconducting resonators enhance the local electric field and facilitate high-resolution microwave probing in a highly coherent setup, with significant recent advances include designs with extremely high Q-factors 20 and tunable resonator frequency combined with magnetic field resilience 21 .…”

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confidence: 99%

Electromagnetic response of the surface states of a topological insulator nanowire embedded within a resonator

Haver,

Ginossar,

de Graaf

et al. 2023

Commun Phys

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Exploring the interplay between topological phases and photons opens new avenues for investigating novel quantum states. Here we show that superconducting resonators can serve as sensitive probes for properties of topological insulator nanowires (TINWs) embedded within them. By combining a static, controllable magnetic flux threading the TINW with an additional oscillating electromagnetic field applied perpendicularly, we show that orbital resonances can be generated and are reflected in periodic changes of the Q-factor of the resonator as a function of the flux. This response probes the confinement of the two-dimensional Dirac orbitals on the surface of the TINW, revealing their density of states and specific transition rules, as well as their dependence on the applied flux. Our approach represents a promising cross-disciplinary strategy for probing topological solid state materials using state-of-the-art photonic cavities, which would avoid the need for attaching contacts, thereby enabling access to electronic properties closer to the pristine topological states.

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Subgap States in Semiconductor-Superconductor Devices for Quantum Technologies: Andreev Qubits and Minimal Majorana Chains

Seoane Souto,

Aguado

2024

Lecture Notes in Physics

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Implementation of Single-Qubit Gates via Parametric Modulation in the Majorana Transmon

Cited by 5 publications

References 82 publications

Majorana bound state parity exchanges in planar Josephson junctions

Majorana bound state parity exchanges in planar Josephson junctions

Electromagnetic response of the surface states of a topological insulator nanowire embedded within a resonator

Subgap States in Semiconductor-Superconductor Devices for Quantum Technologies: Andreev Qubits and Minimal Majorana Chains

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