Quantum CPOs
| Autor: | Kornell, Andre, Lindenhovius, Bert, Mislove, Michael |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | EPTCS 340, 2021, pp. 174-187 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.4204/EPTCS.340.9 |
| Popis: | We introduce the monoidal closed category qCPO of quantum cpos, whose objects are "quantized" analogs of omega-complete partial orders (cpos). The category qCPO is enriched over the category CPO of cpos, and contains both CPO, and the opposite of the category FdAlg of finite-dimensional von Neumann algebras as monoidal subcategories. We use qCPO to construct a sound model for the quantum programming language Proto-Quipper-M (PQM) extended with term recursion, as well as a sound and computationally adequate model for the Linear/Non-Linear Fixpoint Calculus (LNL-FPC), which is both an extension of the Fixpoint Calculus (FPC) with linear types, and an extension of a circuit-free fragment of PQM that includes recursive types. Comment: In Proceedings QPL 2020, arXiv:2109.01534 |
| Databáze: | arXiv |
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