A
quantum system for hosting logical qubits protected by an
error correcting code comprises: * a command circuit (4) for selectively applying
radiation, * a superconducting
quantum circuit (6) comprising - a plurality of data resonators (8), each data
resonator (8) being coupled to said command circuit (4) for stabilizing a respective data cat
qubit, - a plurality of ancilla resonators (10), each ancilla
resonator being coupled to said command circuit (4) for stabilizing a respective ancilla
qubit, - the data resonators (8) and the ancilla resonators (10) are arranged on said superconducting
quantum circuit into lines (12) comprising alternating data resonators and ancilla resonators, - the lines not crossing one another and defining a first end line and a second end line, - each data
resonator and each ancilla resonator (10) of a line being connected to its immediate neighbors within its line, and - for all but the second end line, the ancilla resonators are connected to a data resonator of an adjacent line in the direction going from the first end line to the second end line, such that all ancilla resonators are connected to at least two and at most to three data resonators, the command circuit (4) being further arranged to operate a
quantum gate between two data cat qubits connected by an ancilla
qubit only using operations involving two or three resonators chosen among the group comprising said the data resonators hosting the data qubits and the ancilla resonator, with the data resonators being always involved.