Enforcing logical coherence through quantum circuits

We propose a scalable quantum circuit architecture for enforcing logical consistency in systems susceptible to contradiction. The model introduces a modular structure in which each contradiction qubit is paired with a corresponding resolution qubit, and a global consistency flag qubit monitors coherence across the system. Logical constraints are embedded directly into the unitary evolution of the circuit using standard quantum gates (CNOT and Toffoli), ensuring that paradox-inducing states are structurally excluded rather than externally filtered. We formally prove that the set of logically coherent configurations corresponds to the fixed-point subspace of the circuit’s unitary operator and demonstrate that the approach generalizes to arbitrary N-qubit systems. As a concrete illustration, we implement a minimal 3-qubit system that models contradiction detection, resolution, and global logical coherence in the context of natural language ambiguity resolution. In this example, unresolved linguistic ambiguity is flagged as a logical inconsistency, while successful disambiguation preserves coherence. Simulations on both ideal quantum circuits and IBM’s quantum hardware validate that only consistent states remain invariant under the computation, while contradictory configurations are actively suppressed.