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arXiv · 1210.0613

On Multiplicative Linear Logic, Modality and Quantum Circuits

Ugo Dal Lago·Claudia Faggian
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Abstract

A 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.

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Ugo Dal Lago, Claudia Faggian. 2012-10-02. On Multiplicative Linear Logic, Modality and Quantum Circuits. https://doi.org/10.4204/eptcs.95.6

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