ENCODING TWO-QUBIT INTERACTIONS

Systems and methods are provided for encoding two-qubit interactions. A quantum circuit comprises first and second logical qubits, each comprising a Bacon-Shor code block. A first edge of each logical qubit contains physical qubits each coupled to at least one neighboring physical qubit along the first edge along a first axis of the Bloch sphere and a second edge of each logical qubit contains physical qubits each coupled to at least one neighboring physical qubit along the second edge along a second axis of the Bloch sphere. A set of couplers couple the first and second logical qubits along the first axis of the Bloch sphere, with each of the set of couplers coupling a physical qubit along the second edge of the first logical qubit to a corresponding physical qubit along the second edge of the second logical qubit along the first axis of the Bloch sphere.