A representation theorem of infimum of bounded quantum observables

DOI10.1063/1.2963968zbMath1152.81631OpenAlexW2049553906MaRDI QIDQ5505005

Junde Wu, Weihua Liu

Publication date: 23 January 2009

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

Full work available at URL: https://semanticscholar.org/paper/00e47dcde764e3332d210c774f312dcbc1d475a2

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (13)

The logic order on a generalized Hermitian algebra ⋮ The supremum of linear operators for the *-order ⋮ Star order on operator and function algebras and its nonlinear preservers ⋮ Star partial order on \(\mathcal{B}_{Id}(\mathcal{H})\) ⋮ Some properties on the star order of bounded operators ⋮ Spectral order on a synaptic algebra ⋮ Remarks on entropy of partition on the sequential effect algebras ⋮ Spectral representation of infimum of bounded quantum observables ⋮ A note on the logic of bounded quantum observables ⋮ On supremum of bounded quantum observable ⋮ An explicit expression of supremum of bounded quantum observables ⋮ On the infimum of bounded quantum observables ⋮ Characterizations of fixed points of quantum operations

Cites Work

• On the infimum problem of Hilbert space effects
• Infima of Hilbert space effects
• Lattice properties of quantum effects
• Remarks on the order for quantum observables
• Order Properties of Bounded Self-Adjoint Operators

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