Quantum supremacy through Fock state <i>q</i> -boson sampling with transmon qubits

Abstract Transmon qubits have traditionally been regarded as limited to random circuit sampling, incapable of performing Fock state boson sampling—a problem known to be classically intractable. This work challenges that assumption by introducing q -boson Fock state sampling, a variant in which transmon qubits can operate effectively. Through direct mapping to the q -boson formalism, we demonstrate that transmons possess the capability to achieve quantum supremacy in q -boson sampling tasks. This finding expands the potential applications of transmon-based quantum processors and paves the way for new avenues in quantum computation.