Minimal Kitaev-transmon qubit based on double quantum dots

Abstract

Minimal Kitaev chains composed of two semiconducting quantum dots coupled via a grounded superconductor have emerged as a promising platform to realize and study Majorana bound states (MBSs). We propose a hybrid qubit based on a Josephson junction between two such double quantum dots (DQDs) embedded in a superconducting qubit geometry. The qubit makes use of the $4\pi$-Josephson effect in the Kitaev junction to create a subspace based on the even/odd fermionic parities of the two DQD arrays hosting MBSs. Deep in the transmon regime, we demonstrate that by performing circuit QED spectroscopy on such hybrid Kitaev-Transmon "Kitmon" qubit one could observe distinct MBS features in perfect agreement with precise analytical predictions in terms of DQD parameters only. This agreement allows to extract the Majorana polarization in the junction from the microwave response.

arXiv comment5 pages (main) + 10 pages (supplemental), 11 figures

References in corpus (45)

• Non-Abelian Anyons and Topological Quantum Computation
• New directions in the pursuit of Majorana fermions in solid state systems
• Search for Majorana fermions in superconductors
• Introduction to topological superconductivity and Majorana fermions
• Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
• From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
• A Semiconductor Nanowire-Based Superconducting Qubit
• Realization of a minimal Kitaev chain in coupled quantum dots
• Realization of microwave quantum circuits using hybrid superconducting-semiconducting nanowire Josephson elements
• How to realize a robust practical Majorana chain in a quantum dot-superconductor linear array
• AC Josephson effect in finite-length nanowire junctions with Majorana modes
• Parity qubits and poor man's Majorana bound states in double quantum dots
• Coherent manipulation of an Andreev spin qubit
• Search for non-Abelian Majorana braiding statistics in superconductors
• Direct manipulation of a superconducting spin qubit strongly coupled to a transmon qubit
• Majorana nanowires for topological quantum computation
• Tunable superconducting coupling of quantum dots via Andreev bound states in semiconductor-superconductor nanowires
• Phenomenology and Dynamics of Majorana Josephson Junction
• A perspective on semiconductor-based superconducting qubits
• Visualising Majorana bound states in 1D and 2D using the generalized Majorana polarization
• Tunability of microwave transitions as a signature of coherent parity mixing effects in the Majorana-Transmon qubit
• Controlled crossed Andreev reflection and elastic co-tunneling mediated by Andreev bound states
• Andreev spectrum and supercurrents in nanowire-based SNS junctions containing Majorana bound states
• Majorana bound states in open quasi-1D and 2D systems with transverse Rashba coupling
• Suppressed Charge Dispersion via Resonant Tunneling in a Single-Channel Transmon
• Triplet correlations in Cooper pair splitters realized in a two-dimensional electron gas
• Observation of vanishing charge dispersion of a nearly-open superconducting island
• Spectroscopy of spin-split Andreev levels in a quantum dot with superconducting leads
• Probing Majorana localization in minimal Kitaev chains through a quantum dot
• Photon Assisted Tunneling of Zero Modes in a Majorana Wire
• Fermion parity measurement and control in Majorana circuit quantum electrodynamics
• Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI
• Destructive Little-Parks Effect in a Full-Shell Nanowire-based Transmon
• Dynamic current susceptibility as a probe of Majorana bound states in nanowire-based Josephson junctions
• Dispersive readout of Majorana qubits
• Majorana oscillations and parity crossings in semiconductor-nanowire-based transmon qubits
• Four-Majorana qubit with charge readout: dynamics and decoherence
• Spectral response of Josephson junctions with low-energy quasiparticles
• Superconducting islands with semiconductor-nanowire-based topological Josephson junctions
• Gatemon qubit based on a thin InAs-Al hybrid nanowire
• Suppressing quasiparticle poisoning with a voltage-controlled filter
• Quasiparticle dynamics in epitaxial Al-InAs planar Josephson junctions
• Quantum phase slips in a resonant Josephson junction
• Electrostatic control of quasiparticle poisoning in a hybrid semiconductor-superconductor island
• Implementation of single-qubit gates via parametric modulation in the Majorana transmon

Cited by in corpus (25)

• A two-site Kitaev chain in a two-dimensional electron gas
• Robust poor man's Majorana zero modes using Yu-Shiba-Rusinov states
• Signatures of Majorana protection in a three-site Kitaev chain
• Progress in superconductor-semiconductor topological Josephson junctions
• Fermion-parity qubit in a proximitized double quantum dot
• Quantum circuits with multiterminal Josephson-Andreev junctions
• A quantum dot in germanium proximitized by a superconductor
• Robustness of Majorana edge states of short-length Kitaev chains coupled with environment
• Fate of poor man's Majoranas in the long Kitaev chain limit
• Majorana modes in quantum dots coupled via a floating superconducting island
• Majorana sweet spots in 3-site Kitaev chains
• Emergent pair symmetries in systems with poor man's Majorana modes
• Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
• Flip-chip-based fast inductive parity readout of a planar superconducting island
• Tunneling of fluxons via a Josephson resonant level
• Braiding Majoranas in a linear quantum dot-superconductor array: Mitigating the errors from Coulomb repulsion and residual tunneling
• YSR Bond Qubit in a Double Quantum Dot with cQED Operation
• Quantum dynamics of semiconductor quantum dot Josephson junctions
• Properties and prevalence of false poor man's Majoranas in two- and three-site artificial Kitaev chains
• Quasiperiodic trajectories drawn by the Bloch vector of the thermal multiphoton Jaynes-Cummings model
• Signatures of quantum phases in a dissipative system
• Optimal Majoranas in Mesoscopic Kitaev Chains
• Distinguishing Majorana bound states from accidental zero-energy modes with a microwave cavity
• Entanglement dynamics in minimal Kitaev chains
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states