Topologies on quantum effects

DOI10.1016/S0034-4877(09)90043-XzbMath1247.81019arXiv0811.2454OpenAlexW3099522425MaRDI QIDQ962561

Sen Zhu, Zhi-Hao Ma

Publication date: 7 April 2010

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.2454

zbMATH Keywords

Hilbert spaceprojectioninterval topologyquantum effectorder topology

Mathematics Subject Classification ID

Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items (3)

Topologies on quantum states ⋮ Interval topology on effect algebras ⋮ Continuity of the sequential product of sequential quantum effect algebras

Cites Work

• Effect algebras and unsharp quantum logics.
• Difference posets, effects, and quantum measurements
• Sequential products on effect algebras
• Divisible effect algebras
• Tensor products of Hilbert space effect algebras
• Continuity of effect algebra operations in the interval topology
• Sharp and fuzzy observables on effect algebras
• How sharp are PV measures
• Uniqueness and order in sequential effect algebras
• Sequential quantum measurements
• Almost sharp quantum effects
• The Weak Convergence of Unit Vectors to Zero in Hilbert Space is the Convergence of One-Dimensional Subspaces in the Order Topology
• Sequential product of quantum effects
• Tensor Product of Difference Posets
• STATES, UNIFORMITIES AND METRICS ON LATTICE EFFECT ALGEBRAS
• Compatibility and decompositions of effects
• Operational Quantum Physics
• The Quantum Theory of Measurement
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