Electronic transport in double-nanowire superconducting islands with multiple terminals

Vekris, Alexandros; Saldaña, Juan Carlos Estrada; Kanne, Thomas; Hvid-Olsen, Thor; Marnauza, Mikelis; Olsteins, Dags; Wauters, Matteo M.; Burrello, Michele; Nygård, Jesper; Grove-Rasmussen, Kasper

doi:10.48550/arxiv.2203.09213

Cited by 2 publications

(3 citation statements)

References 63 publications

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“…When V b > ∆ SC ∼ 0.5E c , the current decreases be-cause transport across excited states is less efficient with respect to the Majorana modes, due to the reduced projection on the device edges. From the point of view the differential conductance, this appears as a region with negative G, as observed in several experiments on SC devices with subgap states [50,57].…”

Section: B Coulomb Blockaded Kitaev Chainsupporting

confidence: 60%

“…Sequential tunneling is indeed the main transport mechanism emerging in the perturbative rate equation approaches and the related conductance peaks are commonly observed in superconducting blockaded devices; see, for instance, the experimental data referring to SC islands in nanowires in Refs. [50,51,56,57] and the theoretical analysis in [58,59].…”

Section: A Sc Quantum Dotmentioning

confidence: 99%

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Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices

Chung,

Wauters,

Burrello

2022

Preprint

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Superconducting devices subject to strong charging energy interactions and Coulomb blockade are one of the key elements for the development of nanoelectronics and constitute common building blocks of quantum computation platforms and topological superconducting setups. The study of their transport properties is non-trivial and some of their non-perturbative aspects are hard to capture with the most ordinary techniques. Here we present a matrix product state approach to simulate the real-time dynamics of these systems. We propose a study of their transport based on the analysis of the currents after quantum quenches connecting such devices with external leads. Our method is based on the combination of a Wilson chain construction for the leads and a mean-field BCS description for the superconducting scatterers. In particular, we employ a quasiparticle energy eigenbasis which greatly reduces their entanglement growth and we introduce an auxiliary degree of freedom to encode the device total charge. This approach allows us to treat non-perturbatively both their charging energy and coupling with external electrodes. We show that our construction is able to describe the Coulomb diamond structure of a superconducting dot with subgap states, including its sequential tunneling and cotunneling features. We also study the conductance zero-bias peaks caused by Majorana modes in a blockaded Kitaev chain, and compare our results with common Breit-Wigner predictions.

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Section: B Coulomb Blockaded Kitaev Chainsupporting

confidence: 60%

Section: A Sc Quantum Dotmentioning

confidence: 99%

Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices

Chung,

Wauters,

Burrello

2022

Preprint

Self Cite

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“…Based on these results we propose a scalable network of superconducting spin qubits where single qubit rotations are performed with EDSR and two-qubit gates rely on the spin interaction we have found. Given the fast progress in the field [26,27,44,79,80], we believe that our proposal is within experimental reach.…”

mentioning

confidence: 81%

Coupled superconducting spin qubits with spin-orbit interaction

Spethmann,

Zhang,

Klinovaja

et al. 2022

Preprint

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Superconducting spin qubits, also known as Andreev spin qubits, promise to combine the benefits of superconducting qubits and spin qubits defined in quantum dots. While most approaches to control these qubits rely on controlling the spin degree-of-freedom via the supercurrent, superconducting spin qubits can also be coupled to each other via the superconductor to implement two-qubit quantum gates. We theoretically investigate the interaction between superconducting spin qubits in the weak tunneling regime and concentrate on the effect of spin-orbit interaction (SOI), which can be large in semiconductor-based quantum dots and thereby offers an additional tuning parameter for quantum gates. We find analytically that the effective interaction between two superconducting spin qubits consists of Ising, Heisenberg, and Dzyaloshinskii-Moriya interactions and can be tuned by the superconducting phase difference, the tunnel barrier strength, or the SOI parameters. The Josephson current becomes dependent on SOI and spin orientations. We demonstrate that this interaction can be used for fast controlled phase-flip gates with a fidelity >99.99%. We propose a scalable network of superconducting spin qubits which is suitable for implementing the surface code.

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Electronic transport in double-nanowire superconducting islands with multiple terminals

Cited by 2 publications

References 63 publications

Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices

Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices

Coupled superconducting spin qubits with spin-orbit interaction

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