2019/04/30 by Dat Thanh Le, Arne L. Grimsmo, Arne Grimsmo +4
Mathematics · Physics and Astronomy · #Charge qubit #Condensed matter physics #Eigenvalues and eigenvectors #Flux qubit #Hamiltonian (control theory) #Josephson effect #Lattice (music) #Mathematics #Phase qubit #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Qubit #Superconducting quantum computing #Superconductivity #quant-ph
paper · pdf · doi:10.1103/physreva.100.062321
published as Phys. Rev. A 100, 062321 (2019) · Close to the published version
openalex publication_date 2019/12/17 · arxiv created 2020/01/02 · arxiv updated 2020/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We describe a superconducting circuit consisting of a Josephson junction in parallel with a quantum phase slip wire, which implements a Hamiltonian that is periodic in both charge and flux. This Hamiltonian is exactly diagonalizable in a double-Bloch band, and the eigenstates are shown to be code states of the Gottesman-Kitaev-Preskill quantum error correcting code. The eigenspectrum has several critical points, where the linear sensitivity to external charge and flux noise vanishes. The states at these critical points thus hold promise as qubit states that are insensitive to common external noise sources.