On the infimum of bounded quantum observables

DOI10.1063/1.3493645zbMath1309.81017OpenAlexW2092517427MaRDI QIDQ5245826

Hong-Ke Du, Xiao-Ming Xu, Xiao Chun Fang

Publication date: 15 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3493645

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Ordered normed spaces (46B40) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (4)

The logic order on a generalized Hermitian algebra ⋮ Star partial order on \(\mathcal{B}_{Id}(\mathcal{H})\) ⋮ Some properties on the star order of bounded operators ⋮ On the supremum and infimum of bounded quantum observables

Cites Work

• Infima of Hilbert space effects
• Examples, problems, and results in effect algebras
• On supremum of bounded quantum observable
• A note on the infimum problem of Hilbert space effects
• Spectral representation of infimum of bounded quantum observables
• A note on the logic of bounded quantum observables
• An explicit expression of supremum of bounded quantum observables
• Lattice properties of quantum effects
• Remarks on the order for quantum observables
• A representation theorem of infimum of bounded quantum observables
• Order Properties of Bounded Self-Adjoint Operators
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