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Quantum programming languages thus need linear dependent type theory. from these identifications has a very different flavour to linear logic, indeed to any fa-miliar system of logic. RAIRO-Theor. Cyclic structures abound, and every sequent is provable. A key ingredient in the proof of this correspondence is an interactive … The calculus turns out to be closely related to the linear lambda calculi used in the study of linear logic. 44 (2010) 419–441 Available online at: DOI: 10.1051/ita/2010021 www.rairo-ita.org QUANTUM COHERENT SPACES AND LINEAR LOGIC Stefano Baratella1 Abstract. The categorical model of the quantum … Q This paper defines a general semantic structure for such a type theory via certain fibrations of monoidal categories. A version of linearized set theory, in which subsets of a set correspond to subspaces of a vector space, was recognized by … These apparent perversities are, however, no cause for alarm: the resulting equations faithfully mirror calculations in quantum … Inf. multiplicative linear logic with quantum modalities; we then investigate in detail the relations between QMLL and quantum circuits. Appl. Quantum set theory, linear logic and the von Domarus principle. In this paper we develop a quantum lambda calculus as an alternative model of quantum computation, which combines some of the benefits of both the quantum Turing machine and the quantum circuit models.

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