An effective model of a two-band superconductor with full interband pairing is established based on doubly coupled Kitaev chains with a $\pi$-phase difference. Tunable Andreev bound states and quantized Andreev reflection are demonstrated. A hybrid qubit architecture is constructed, leveraging these bound states to synergize ultrafast microwave-driven Rabi oscillations in Andreev qubits with topologically protected quantum memory via Majorana zero modes. The resulting theoretically derived quantum memory and nontrivial fusion could offer supporting signatures for topological superconductivity. All theoretical results of our base model are directly reproduced within a realistic theoretical material model of an altermagnet-proximitized topological superconducting nanowire system.

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• Andreev bound states
• Andreev reflection
• Majorana zero modes
• Topological superconductors
• Bogoliubov-de Gennes equations
• Lattice models in condensed matter