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Quantum Computation, Categorical Semantics and Linear Logic | | André van Tonder
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20 Dec 2003 | | Subject: | Quantum Physics; Logic in Computer Science | quant-ph cs.LO hep-th | | Abstract: | We develop a type theory and provide a denotational semantics for a simple fragment of the quantum lambda calculus, a formal language for quantum computation based on linear logic. In our semantics, terms inhabit certain Hilbert bundles, and computations are interpreted as the appropriate inner product preserving maps between Hilbert bundles. These bundles and maps form a symmetric monoidal closed category, as expected for a calculus based on linear logic. | | Source: | arXiv, quant-ph/0312174 | | Services: | Forum | Review | PDF | Favorites | |
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