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We propose a novel superconducting logical qubit architecture, called theCold Echo Qubit (CEQ), which is capable of preserving quantum information formuch longer timescales than any of its component parts. The CEQ operates fullyautonomously, requiring no measurement or feedback, and is compatible withrelatively strong interaction elements, allowing for fast, high fidelitylogical gates between multiple CEQ's. Its quantum state is protected by acombination of strong interactions and microwave driving, which implements aform of many-body dynamical decoupling to suppress phase noise. Estimates basedon careful theoretical analysis and numerical simulations predict improvementsin lifetimes and gate fidelities by an order of magnitude or more compared tothe current state of the art, assuming no improvements in base coherence. Here,we consider the simplest possible implementation of the CEQ, using a pair offluxonium qubits shunted through a shared mutual inductance. While notnecessarily the best possible implementation, it is the easiest to testexperimentally and should display coherence well past breakeven (as compared tothe limiting coherence times of its components). A more complex three-nodecircuit is also presented; it is expected to roughly double the coherence ofits two-fluxonium counterpart.

Small logical qubit architecture based on strong interactions and many-body dynamical decoupling