On Multiplicative Linear Logic, Modality and Quantum Circuits [PDF]
Ugo Dal Lago, Claudia FaggianA logical system derived from linear logic and called QMLL is introduced and shown able to capture all unitary quantum circuits. Conversely, any proof is shown to compute, through a concrete GoI interpretation, some quantum circuits. The system QMLL, which enjoys cut-elimination, is obtained by endowing multiplicative linear logic with a quantum modality.View original: http://arxiv.org/abs/1210.0613
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