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.
@article{arxiv.2506.21094,
title = {Quantum Supremacy through Fock State $q$ boson Sampling with Transmon Qubits},
author = {Chon-Fai Kam and En-Jui Kuo},
journal= {arXiv preprint arXiv:2506.21094},
year = {2025}
}