On Multiplicative Linear Logic, Modality and Quantum Circuits

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On Multiplicative Linear Logic, Modality and Quantum Circuits

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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ژورنال

عنوان ژورنال: Electronic Proceedings in Theoretical Computer Science

سال: 2012

ISSN: 2075-2180

DOI: 10.4204/eptcs.95.6