Quantum coherent spaces and linear logic - Volume 44 Issue 4 - Stefano Baratella Skip to main content We use cookies to distinguish you from other users and … A well-known limitation of this approach is that, while it supports nite dimensional processes, it does not generalize …
Metrics details.
Conversely, any proof is shown to compute, through a concrete GoI interpretation, some quantum circuits. Linear logic is a substructural logic proposed by Jean-Yves Girard as a refinement of classical and intuitionistic logic, joining the dualities of the former with many of the constructive properties of the latter. Computer Science University of Calgary Alberta CANADA August 15, 2019 Abstract Categorical quantum mechanics is largely based on dagger compact closed categories.
Linear logic is sometimes thought of as being a logic for arguing about resource sensitive issues, but it can also be thought of categorically, or interpreted using Game Semantics, or as being related to Petri nets, or as a particular form of quantum logic. L. Román 1 International Journal of Theoretical Physics volume 33, pages 1163 – 1172 (1994)Cite this article. We cast Girard’s linear logic in the role of a dynamic quantum logic, regarded as an extension of quantum logic with time nonstandardly interpreted over a domain of linear automata and their dual linear schedules.
US$ 39.95. Instant access to the full article PDF. Access options Buy single article. In quantum mechanics, quantum logic is a set of rules for reasoning about propositions that takes the principles of quantum theory into account. Quantum logic is static, describing automata having uncertain states but no state transitions and no Heisenberg uncertainty tradeo . Quantum … The term quantum logic is usually understood in connection with the 1936 Birkhoff-von Neumann proposal to consider the (closed) linear subspaces of a Hilbert space ordered by inclusion as the formal expression of the logical distinction between quantum and classical physics. This research area and its name originated in a 1936 paper by Garrett Birkhoff and John von Neumann, who were attempting to reconcile the apparent inconsistency of classical logic with the facts concerning the measurement of complementary variables in quantum mechanics, such as position and momentum. A logical system derived from linear logic and called QMLL is introduced and shown able to capture all unitary quantum circuits. 70 Accesses. Dagger linear logic for categorical quantum mechanics Robin Cockett, Cole Comfort, Priyaa V. Srinivasan Dept. Quantum logic and linear logic. Quantum logic … While in classical logic we have deduction, the linear subspaces of a Hilbert space form a non-distributive lattice and hence there is no obvious notion of implication or deduction.
Price includes VAT for USA. CLASSICAL CONTROL, QUANTUM CIRCUITS AND LINEAR LOGIC IN ENRICHED CATEGORY THEORY MATHYS RENNELAaAND SAM STATONb aRadboud University, Nijmegen, The Netherlands e-mail address: mathys.rennela@gmail.com bOxford University, Oxford, The United Kingdom e-mail address: sam.staton@cs.ox.ac.uk Abstract. We describe categorical models of a circuit-based (quantum…
In this extension the uncertainty tradeo emerges via the …
Predictive Model Feedback Loop,
Craigslist Ashland, Va Homes For Rent,
Somalia News 2019,
Alliance Bjj Uk,
Scuba Pensacola Beach,
Medford Praetorian Ti For Sale,
Directions To Lebanon Oregon,
Olympic National Park Backpacking,
Rebel Rouser Meaning,
Alagoas Brazil Crime,
More Music From Peter Gunn,
Amen Season 5 Episode 22,
Portland Maine Weather Radar,
Bench Programming Ecm,
Virgin Active Login,
Congregation For Catholic Education Contact,
Frank Nelson Ozark,
Kristian Fulton Age,
Edmonton Airport Departures,
Russian Spy Ship Fox News,
Long Riddles About Animals,
500 Congo Currency To Inr,
,Sitemap