Symmetric and anti-symmetric quantum functions
<|reference_start|>Symmetric and anti-symmetric quantum functions: This paper introduces and analyzes symmetric and anti-symmetric quantum binary functions. Generally, such functions uniquely convert a given computational basis state into a different basis state, but with either a plus or a minus sign. Such functions may serve along with a constant function (in a Deutsch-Jozsa type of algorithm) to provide 2**n deterministic qubit combinations (for n qubits) instead of just one.<|reference_end|>
@article{burger2003symmetric,
    title={Symmetric and anti-symmetric quantum functions},
    author={J. R. Burger},
    journal={arXiv preprint arXiv:cs/0304016},
    year={2003},
    archivePrefix={arXiv},
    eprint={cs/0304016},
    primaryClass={cs.OH quant-ph}
}