The paper discusses the concept of noiseless quantum codes, focusing on maintaining quantum coherence in quantum computing systems. The authors introduce the idea of designing states that are resistant to environmental noise rather than relying on error-correcting codes (ECCs). They propose a passive stabilization method, which they call "error avoiding," where the system's dynamics are such that it remains coherent without explicit error correction. The approach is based on the assumption that all qubits in a system are symmetrically coupled to the same environment. The paper provides a detailed mathematical framework, including the Hamiltonian and interaction terms, to demonstrate that certain states can be eigenstates of the total Hamiltonian, thus being decoherence-free. The authors show that for large systems with a specific number of replicas, an infinite family of exact eigenstates can be constructed, forming a subspace that is not entangled with the environment. This subspace, spanned by the singlet states of the dynamical algebra of the system, can be used to design noiseless quantum codes. The paper also discusses the practical implementation challenges and potential extensions to infinite-dimensional Hilbert spaces.The paper discusses the concept of noiseless quantum codes, focusing on maintaining quantum coherence in quantum computing systems. The authors introduce the idea of designing states that are resistant to environmental noise rather than relying on error-correcting codes (ECCs). They propose a passive stabilization method, which they call "error avoiding," where the system's dynamics are such that it remains coherent without explicit error correction. The approach is based on the assumption that all qubits in a system are symmetrically coupled to the same environment. The paper provides a detailed mathematical framework, including the Hamiltonian and interaction terms, to demonstrate that certain states can be eigenstates of the total Hamiltonian, thus being decoherence-free. The authors show that for large systems with a specific number of replicas, an infinite family of exact eigenstates can be constructed, forming a subspace that is not entangled with the environment. This subspace, spanned by the singlet states of the dynamical algebra of the system, can be used to design noiseless quantum codes. The paper also discusses the practical implementation challenges and potential extensions to infinite-dimensional Hilbert spaces.