Doubly Nonlinear Superconducting Qubit

Abstract

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 diagonalisable 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 external noise sources.

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Cited by in corpus (14)

• Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes
• Surpassing the resistance quantum with a geometric superinductor
• Hardware-Encoding Grid States in a Non-Reciprocal Superconducting Circuit
• Creation of Optical Cat and GKP States Using Shaped Free Electrons
• Cost-Reduced All-Gaussian Universality with the Gottesman-Kitaev-Preskill Code: Resource-Theoretic Approach to Cost Analysis
• Stabilizing a Bosonic Qubit using Colored Dissipation
• Geometric superinductance qubits: Controlling phase delocalization across a single Josephson junction
• Twirling and Hamiltonian Engineering via Dynamical Decoupling for GKP Quantum Computing
• Consistent Quantization of Nearly Singular Superconducting Circuits
• Magnifying quantum phase fluctuations with Cooper-pair pairing
• Building a bigger Hilbert space for superconducting devices, one Bloch state at a time
• The Zak transform: a framework for quantum computation with the Gottesman-Kitaev-Preskill code
• Operating a passive on-chip superconducting circulator: device control and quasiparticle effects
• Circulation by microwave-induced vortex transport for signal isolation