Quantum error correction is an important ingredient for scalable quantum
computing. Stabilizer codes are one of the most promising and straightforward
ways to correct quantum errors, since they do not require excessive complexity
of physical qubits, are convenient for logical operations, and improve
performance with increasing the involved qubits number. Here, we propose a
linear scalable code of the permutative stabilizers for small distances on the
ring architecture, which takes into account the topological features of the
superconducting platform. We present the way to construct the quantum circuit
of the code and provide numerical simulation that demonstrate the exponential
logical error rate suppression.Comment: 6 pages, 4 figure