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.

5 pages (main) + 10 pages (supplemental), 11 figures

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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