Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras
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Publication:5014789
zbMath1486.81131arXiv1701.00662MaRDI QIDQ5014789
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Publication date: 8 December 2021
Full work available at URL: https://arxiv.org/abs/1701.00662
General theory of von Neumann algebras (46L10) Operator spaces and completely bounded maps (46L07) Positive linear operators and order-bounded operators (47B65) Operator algebra methods applied to problems in quantum theory (81R15)
Cites Work
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- Towards a quantum domain theory: order-enrichment and fixpoints in \(W^*\)-algebras
- Categorical formulation of finite-dimensional quantum algebras
- Generalised quantum weakest preconditions
- Completely positive linear maps on complex matrices
- \(C^*\)-algebras and \(W^*\)-algebras.
- Semantics for a quantum programming language by operator algebras
- (Almost) \({C}^\ast\)-algebras as sheaves with self-action
- On the equational theory of \(C^*\)-algebras
- Complete positivity and natural representation of quantum computations
- From Kleisli Categories to Commutative C *-Algebras: Probabilistic Gelfand Duality
- Axiomatic Description of Mixed States From Selinger's CPM-construction
- Idempotents in Dagger Categories
- Physics, Topology, Logic and Computation: A Rosetta Stone
- A Partial Order on Classical and Quantum States
- Quantum Computation and Quantum Information
- Partially ordered linear topological spaces
- Effect Algebras, Presheaves, Non-locality and Contextuality
- Positive Linear Maps of Operator Algebras
- Presheaf Models of Quantum Computation: An Outline
- Completely positive projections and biproducts
- Computation in generalised probabilisitic theories
- On infinite-dimensional state spaces
- Applying quantitative semantics to higher-order quantum computing
- Mathematics of Quantum Computation and Quantum Technology
- Quantum weakest preconditions
- On closed categories of functors
- Inductive Limits of Finite Dimensional C ∗ -Algebras
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