A Categorical Quantum Logic
<|reference_start|>A Categorical Quantum Logic: We define a strongly normalising proof-net calculus corresponding to the logic of strongly compact closed categories with biproducts. The calculus is a full and faithful representation of the free strongly compact closed category with biproducts on a given category with an involution. This syntax can be used to represent and reason about quantum processes.<|reference_end|>
@article{abramsky2005a,
    title={A Categorical Quantum Logic},
    author={Samson Abramsky, Ross Duncan},
    journal={arXiv preprint arXiv:quant-ph/0512114},
    year={2005},
    doi={10.1017/S0960129506005275},
    archivePrefix={arXiv},
    eprint={quant-ph/0512114},
    primaryClass={quant-ph cs.LO}
}