Tunable superconducting coupling of quantum dots via Andreev bound states in semiconductor-superconductor nanowires

Abstract

Semiconductor quantum dots have proven to be a useful platform for quantum simulation in the solid state. However, implementing a superconducting coupling between quantum dots mediated by a Cooper pair has so far suffered from limited tunability and strong suppression. This has limited applications such as Cooper pair splitting and quantum dot simulation of topological Kitaev chains. In this work, we propose how to mediate tunable effective couplings via Andreev bound states in a semiconductor-superconductor nanowire connecting two quantum dots. We show that in this way it is possible to individually control both the coupling mediated by Cooper pairs and by single electrons by changing the properties of the Andreev bound states with easily accessible experimental parameters. In addition, the problem of coupling suppression is greatly mitigated. We also propose how to experimentally extract the coupling strengths from resonant current in a three-terminal junction. Our proposal will enable future experiments that have not been possible so far.

8+9 pages, 4+5 figures

References in corpus (13)

• Non-Abelian Anyons and Topological Quantum Computation
• Driven coherent oscillations of a single electron spin in a quantum dot
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Introduction to topological superconductivity and Majorana fermions
• Evidence for crossed Andreev reflection in superconductor-ferromagnet hybrid structures
• Parity qubits and poor man's Majorana bound states in double quantum dots
• Near-unity Cooper pair splitting efficiency
• Cooper Pair Splitting by means of Graphene Quantum Dots
• Quantum simulation of Fermi-Hubbard models in semiconductor quantum dot arrays
• Semiconductor few-electron quantum dot operated as a bipolar spin filter
• Andreev spin qubits in multichannel Rashba nanowires
• Local electrical tuning of the nonlocal signals in a Cooper pair splitter
• Nanoscale ferromagnetism in non-magnetic doped semiconductors

Cited by in corpus (63)

• Realization of a minimal Kitaev chain in coupled quantum dots
• Singlet and triplet Cooper pair splitting in hybrid superconducting nanowires
• A two-site Kitaev chain in a two-dimensional electron gas
• Roadmap towards Majorana qubits and nonabelian physics in quantum dot-based minimal Kitaev chains
• Controlled crossed Andreev reflection and elastic co-tunneling mediated by Andreev bound states
• Robust poor man's Majorana zero modes using Yu-Shiba-Rusinov states
• Triplet correlations in Cooper pair splitters realized in a two-dimensional electron gas
• Crossed Andreev reflection and elastic co-tunneling in a three-site Kitaev chain nanowire device
• Probing Majorana localization in minimal Kitaev chains through a quantum dot
• Fusion protocol for Majorana modes in coupled quantum dots
• Signatures of Majorana protection in a three-site Kitaev chain
• Minimal Kitaev-transmon qubit based on double quantum dots
• Minimal quantum dot based Kitaev chain with only local superconducting proximity effect
• Enhancing the excitation gap of a quantum-dot-based Kitaev chain
• Observation of edge and bulk states in a three-site Kitaev chain
• Adversarial Hamiltonian learning of quantum dots in a minimal Kitaev chain
• Braiding-based quantum control of a Majorana qubit built from quantum dots
• Majorana zero modes in Y-shape interacting Kitaev wires
• Kitaev chain in an alternating quantum dot-Andreev bound state array
• From perfect to imperfect poor man's Majoranas in minimal Kitaev chains
• Controllable Single Cooper Pair Splitting in Hybrid Quantum Dot Systems
• Robustness of Majorana edge states of short-length Kitaev chains coupled with environment
• Flux-tunable Kitaev chain in a quantum dot array
• Fate of poor man's Majoranas in the long Kitaev chain limit
• Rabi and Ramsey oscillations of a Majorana qubit in a quantum dot-superconductor array
• Quantum-dot-based Kitaev chains: Majorana quality measures and scaling with increasing chain length
• Interplay between Majorana and Shiba states in a minimal Kitaev chain coupled to a superconductor
• Charge sensing the parity of an Andreev molecule
• Machine-learned tuning of artificial Kitaev chains from tunneling-spectroscopy measurements
• Majorana sweet spots in 3-site Kitaev chains
• Majorana modes in quantum dots coupled via a floating superconducting island
• Coupling of quantum-dot states via elastic-cotunneling and crossed Andreev reflection in a minimal Kitaev chain
• Supercurrent through an Andreev trimer
• Interaction-induced strong zero modes in short quantum dot chains with time-reversal symmetry
• Scaling up a sign-ordered Kitaev chain without magnetic flux control
• Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
• Spin-1 Haldane chains of superconductor-semiconductor hybrids
• Design of a Majorana trijunction
• A flux-controlled two-site Kitaev chain
• Multicritical quantum sensors driven by symmetry-breaking
• The topological Kondo model out of equilibrium
• Two-channel Kondo problem in coupled interacting helical liquids
• Braiding Majoranas in a linear quantum dot-superconductor array: Mitigating the errors from Coulomb repulsion and residual tunneling
• Long-range coupling between superconducting dots induced by periodic driving
• Fermionic quantum computation with Cooper pair splitters
• Unified model for non-Abelian braiding of Majorana and Dirac fermion zero modes
• Non-local Andreev reflection through Andreev molecular states in graphene Josephson junctions
• Spin-resolved nonlocal transport in proximitized Rashba nanowires
• Josephson diode effect in nanowire-based Andreev molecules
• Probing Green's Function Zeros by Co-tunneling through Mott Insulators
• Exploring the energy spectrum of a four-terminal Josephson junction: Towards topological Andreev band structures
• Characterizing local Majorana properties using Andreev states
• Universal quantum control over Majorana zero modes
• Properties and prevalence of false poor man's Majoranas in two- and three-site artificial Kitaev chains
• Quantifying robustness and locality of Majorana bound states in interacting systems
• Quantum dot detects Majorana modes of both chiralities
• A simple electronic ladder model harboring ${\mathbb{Z}}_4$ parafermions
• Signatures of quantum phases in a dissipative system
• Spin qubit shuttling between coupled quantum dots with inhomogeneous Landé g-tensors
• Quantum capacitance and parity switching of a quantum-dot-based Kitaev chain
• Distinguishing Majorana bound states from accidental zero-energy modes with a microwave cavity
• Optimal Majoranas in Mesoscopic Kitaev Chains
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states